1What is the main purpose of a voltage divider circuit?
Validation and analysis of the Voltage Divider Law
Easy
A.To increase the input current
B.To convert DC into AC
C.To store electrical charge
D.To obtain a fraction of an input voltage
Correct Answer: To obtain a fraction of an input voltage
Explanation:
A voltage divider uses resistors to produce a smaller voltage from an applied input voltage.
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2Which components are commonly used to form a basic voltage divider?
Validation and analysis of the Voltage Divider Law
Easy
A.Two resistors in series
B.Two inductors in parallel
C.Two capacitors in parallel
D.Two diodes in series
Correct Answer: Two resistors in series
Explanation:
A basic voltage divider consists of two resistors connected in series across a voltage source.
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3For two series resistors, which formula gives the output voltage across ?
Validation and analysis of the Voltage Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The voltage divider law states that the voltage across equals the input voltage multiplied by divided by the total resistance.
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4If in a voltage divider, what is the output voltage across either resistor?
Validation and analysis of the Voltage Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Equal series resistors divide the input voltage equally, so each resistor has half of .
Incorrect! Try again.
5A voltage divider has , , and . What is across ?
Validation and analysis of the Voltage Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Using gives .
Incorrect! Try again.
6In a series voltage divider, which resistor has the larger voltage drop?
Validation and analysis of the Voltage Divider Law
Easy
A.The resistor with the larger resistance
B.The resistor connected to ground
C.Both always have equal drops
D.The resistor with the smaller resistance
Correct Answer: The resistor with the larger resistance
Explanation:
In a series circuit, the same current flows through each resistor, so the larger resistance has the larger voltage drop.
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7What happens to the output voltage across if increases while and remain constant?
Validation and analysis of the Voltage Divider Law
Easy
A.It remains unchanged
B.It decreases
C.It becomes zero
D.It increases
Correct Answer: It increases
Explanation:
Since , increasing increases its share of the input voltage.
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8What is the total resistance of two series resistors and ?
Validation and analysis of the Voltage Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The total resistance of resistors connected in series is the sum of their resistance values.
Incorrect! Try again.
9How can the voltage divider law be experimentally validated?
Validation and analysis of the Voltage Divider Law
Easy
A.Replace both resistors with wires
B.Compare calculated and measured output voltages
C.Measure only the resistor colors
D.Disconnect the voltage source first
Correct Answer: Compare calculated and measured output voltages
Explanation:
The law is validated by calculating and comparing it with the voltage measured across the selected resistor.
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10Where should a voltmeter be connected to measure the divider output across ?
Validation and analysis of the Voltage Divider Law
Easy
A.Across the voltage source only
B.In series with
C.Across
D.In series with the source
Correct Answer: Across
Explanation:
A voltmeter measures potential difference, so it must be connected in parallel across .
Incorrect! Try again.
11What is the main purpose of a current divider circuit?
Validation and analysis of the Current Divider Law
Easy
A.To combine separate voltage sources
B.To increase total resistance only
C.To store current in a capacitor
D.To split current among parallel branches
Correct Answer: To split current among parallel branches
Explanation:
A current divider distributes the total current between parallel branches.
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12Which connection is required for a basic current divider?
Validation and analysis of the Current Divider Law
Easy
A.Resistors connected in parallel
B.Resistors connected without a source
C.Resistors connected in series
D.Resistors connected to open circuits
Correct Answer: Resistors connected in parallel
Explanation:
Current division occurs when current reaches two or more parallel branches.
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13For two parallel resistors, which formula gives the current through ?
Validation and analysis of the Current Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
In a two-branch current divider, the current through is proportional to the opposite resistance, .
Incorrect! Try again.
14In a parallel circuit, which branch carries more current?
Validation and analysis of the Current Divider Law
Easy
A.Both branches always carry zero current
B.The branch with larger resistance
C.The branch with no voltage
D.The branch with smaller resistance
Correct Answer: The branch with smaller resistance
Explanation:
Parallel branches have the same voltage, and Ohm's law shows that smaller resistance produces larger current.
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15If two parallel resistors have equal resistance, how is the total current divided?
Validation and analysis of the Current Divider Law
Easy
A.The current divides equally
B.All current flows through one branch
C.The current doubles in both branches
D.No current enters either branch
Correct Answer: The current divides equally
Explanation:
Equal parallel resistances have equal currents, so each branch receives half of the total current.
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16A total current of enters two equal parallel resistors. What current flows through each resistor?
Validation and analysis of the Current Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Equal branches share the total current equally, so each branch carries .
Incorrect! Try again.
17A current divider has , , and . What is the current through ?
Validation and analysis of the Current Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Using gives .
Incorrect! Try again.
18What is the relationship between total current and branch currents in a two-branch parallel circuit?
Validation and analysis of the Current Divider Law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Kirchhoff's current law states that the total incoming current equals the sum of the branch currents.
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19How can the current divider law be experimentally validated?
Validation and analysis of the Current Divider Law
Easy
A.Compare calculated and measured branch currents
B.Remove the parallel resistors
C.Connect the branches in series
D.Measure only the supply voltage
Correct Answer: Compare calculated and measured branch currents
Explanation:
The law is validated by calculating each branch current and comparing the results with ammeter measurements.
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20Where should an ammeter be connected to measure the current through one branch?
Validation and analysis of the Current Divider Law
Easy
A.Across the voltage source
B.Across the entire circuit
C.In series with the branch
D.In parallel with the branch
Correct Answer: In series with the branch
Explanation:
An ammeter must be placed in series so that the branch current flows through the meter.
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21A source is connected across two series resistors, and . What is the voltage across ?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Using the voltage divider law, .
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22A divider uses and across a supply. If the measured output across is , what is the percentage error relative to the theoretical value?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The theoretical output is . Thus, the percentage error is .
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23A divider has and . A load is connected in parallel with . What is the loaded output voltage?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The lower equivalent resistance is . Therefore, .
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24A voltage divider must produce from a source, with the output taken across . Which resistance relationship is required?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Since , the required relationship is .
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25Two series resistors, and , are connected to a source. Which pair of measured voltage drops would validate the voltage divider law?
Validation and analysis of the Voltage Divider Law
Medium
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Series voltage drops are proportional to resistance. The resistance ratio gives drops of and .
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26Which voltmeter characteristic most effectively reduces loading error when experimentally validating a voltage divider?
Validation and analysis of the Voltage Divider Law
Medium
A.Low voltage range
B.High current range
C.Low input resistance
D.High input resistance
Correct Answer: High input resistance
Explanation:
A high input resistance draws very little current, so it has minimal effect on the divider's effective resistance and output voltage.
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27A divider uses two nominal resistors with tolerance. What is the approximate minimum output across the lower resistor due only to resistor tolerance?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The minimum occurs with the upper resistor at and the lower at : .
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28An divider has and . A load is connected to its output. Using the divider's Thevenin equivalent, what is the loaded output voltage?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The open-circuit voltage is and . Thus, .
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29A source supplies series resistors and . What power is dissipated by ?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The series current is . Therefore, .
Incorrect! Try again.
30The theoretical output of a divider is , while the measured output is . What is the magnitude of the percentage deviation?
Validation and analysis of the Voltage Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The percentage deviation is .
Incorrect! Try again.
31A total current of enters two parallel resistors of and . What current flows through the resistor?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For two parallel resistors, . The larger resistance carries the smaller current.
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32Two parallel branches have conductances of and . If the total current is , what current flows through the branch?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Current divides in proportion to conductance. Thus, .
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33A total current of enters three parallel resistors of , , and . What current flows through the branch?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The branch conductances are in the ratio . Therefore, the divides as , , and .
Incorrect! Try again.
34A current of enters a parallel combination of and . What is the voltage across the parallel network?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The equivalent resistance is . Hence, .
Incorrect! Try again.
35During validation of a parallel circuit, the total current is measured as , while the branch currents are and . What is the percentage discrepancy relative to the total current?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The branch-current sum is , giving a difference of . The discrepancy is .
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36A total current of divides between parallel resistors of and . What power is dissipated by the resistor?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The current through is . Thus, .
Incorrect! Try again.
37A total current of enters two parallel branches. The first branch contains and carries . What is the resistance of the second branch?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The parallel voltage is . The second current is , so .
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38Under which circuit condition can the current divider law be directly applied?
Validation and analysis of the Current Divider Law
Medium
A.Resistors share the same two nodes
B.Resistors have equal voltage ratings
C.Resistors carry the same series current
D.Resistors dissipate the same power
Correct Answer: Resistors share the same two nodes
Explanation:
The current divider law applies to parallel branches, which must share the same two nodes and therefore have the same voltage.
Incorrect! Try again.
39An ideal voltage source supplies parallel branches of and . An ammeter with internal resistance is inserted into the branch. What happens to the measured circuit currents?
Validation and analysis of the Current Divider Law
Medium
A.The first and total currents decrease
B.The second and total currents increase
C.Both branch currents become equal
D.Both branch currents remain unchanged
Correct Answer: The first and total currents decrease
Explanation:
The ammeter raises the first branch resistance to , reducing its current. The second branch current remains unchanged for an ideal source, so the total current decreases.
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40A current divides between a resistor and an unknown parallel resistor. If the branch carries , what is the unknown resistance?
Validation and analysis of the Current Divider Law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The unknown branch carries . Since both branches have the same voltage, , so .
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41An source feeds in series with . A load is connected across . What is the loaded output voltage across the load?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The effective lower resistance is . Thus, .
Incorrect! Try again.
42A source is connected to and . A voltmeter with input resistance measures the voltage across . What reading should be expected?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The meter loads the divider: . Therefore, .
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43For a divider with fixed input voltage and fixed total resistance , which choice maximizes the power dissipated in ?
Validation and analysis of the Voltage Divider Law
Hard
A.,
B.,
C.,
D.,
Correct Answer: ,
Explanation:
With fixed total resistance, is maximized when . Hence both resistors should be .
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44A divider has and , each with a tolerance of . What are the worst-case limits of when the output is taken across ?
Validation and analysis of the Voltage Divider Law
Hard
A. to
B. to
C. to
D. to
Correct Answer: to
Explanation:
The minimum ratio uses and : ; wait, using the stated nominal values, the correct extremes are and . Therefore, the listed lower limit is inconsistent; the correct range is to .
Incorrect! Try again.
45A source feeds and . A load is connected across . What is the output voltage?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The loaded lower leg is . Thus, .
Incorrect! Try again.
46A divider is driven by an ideal source through a source resistance of , followed by and . What voltage appears across ?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The total series resistance is . Therefore, .
Incorrect! Try again.
47A divider uses , , and a load . With , the desired loaded output is . What value of is required?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The required lower equivalent is . Solving gives .
Incorrect! Try again.
48A voltage divider has and . If a finite-input-resistance voltmeter changes the measured output from the ideal value by less than , what is the minimum approximate meter resistance?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The output resistance is . To keep loading below approximately , require ; among the choices, safely satisfies the criterion.
Incorrect! Try again.
49For an unloaded divider, . If is increased by while remains fixed, with initially, what is the percentage change in ?
Validation and analysis of the Voltage Divider Law
Hard
A.A decrease of approximately
B.An increase of approximately
C.An increase of approximately
D.A decrease of approximately
Correct Answer: A decrease of approximately $4.8\%
Explanation:
Initially . After the change, the ratio is . The relative change is .
Incorrect! Try again.
50A practical divider is connected to a source with internal resistance . The divider consists of and . What is the actual output across ?
Validation and analysis of the Voltage Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The total resistance is . The circuit current is , so the output is .
Incorrect! Try again.
51A total current of enters three parallel resistors of , , and . What current flows through the branch?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The conductance fractions are proportional to . Since the conductance sum is , the branch carries .
Incorrect! Try again.
52A current source feeds parallel branches of and . What are the currents in the and branches, respectively?
Validation and analysis of the Current Divider Law
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Current divides inversely with resistance. Thus, and .
Incorrect! Try again.
53A ideal current source feeds three parallel resistances: , , and . What current flows through the branch?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The conductance fraction is . Therefore, the branch current is .
Incorrect! Try again.
54A current enters two parallel paths. One path is ; the other consists of in series with . What current flows through the resistor?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The two branch resistances are and . The branch carries , which is also the current through its series resistor.
Incorrect! Try again.
55Two parallel branches have resistances and . If the current in the branch is , what is the total source current?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The branch-current ratio is . Hence and the total current is .
Incorrect! Try again.
56A current divider has two branches, and . If the total current is , what is the current through ?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For two branches, .
Incorrect! Try again.
57A source supplies two parallel branches. Branch A has and branch B has . An ammeter with burden resistance is inserted only in branch A. What current does the ammeter indicate?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The measured branch becomes . Current division gives .
Incorrect! Try again.
58Three equal resistors are connected in parallel to an ideal current source. One resistor is then short-circuited by an ideal wire. What happens to the current in each resistor?
Validation and analysis of the Current Divider Law
Hard
A.The shorted resistor carries half the current; the others share half
B.All three retain one-third of the source current
C.The current divides equally between the two unshorted resistors
D.The shorted resistor carries all current; the others carry zero
Correct Answer: The shorted resistor carries all current; the others carry zero
Explanation:
The ideal short has zero resistance and therefore infinite relative conductance. It forces the parallel voltage to zero, so the original resistors carry no current.
Incorrect! Try again.
59A total current enters two parallel resistors and . Which expression gives the current through and remains valid when ?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Current divides inversely with resistance. The current in is proportional to the conductance of the opposite branch, giving .
Incorrect! Try again.
60A current source feeds two parallel branches: and . A resistor is connected in parallel with . What current flows through the original branch?
Validation and analysis of the Current Divider Law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The second branch becomes . Therefore, ; none of the listed values matches, so the options are inconsistent.
Incorrect! Try again.
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