Electrical resistance is measured in ohms, represented by .
Incorrect! Try again.
2Which circuit element opposes a sudden change in current?
Inductance
Easy
A.Voltage source
B.Resistor
C.Inductor
D.Capacitor
Correct Answer: Inductor
Explanation:
An inductor opposes changes in current by producing an induced voltage.
Incorrect! Try again.
3Which circuit element stores energy in an electric field?
Capacitance
Easy
A.Current source
B.Capacitor
C.Resistor
D.Inductor
Correct Answer: Capacitor
Explanation:
A capacitor stores electrical energy in the electric field between its plates.
Incorrect! Try again.
4Voltage is best described as which electrical quantity?
Voltage
Easy
A.Potential difference
B.Charge flow rate
C.Power consumption
D.Current opposition
Correct Answer: Potential difference
Explanation:
Voltage is the electric potential difference between two points in a circuit.
Incorrect! Try again.
5What is the SI unit of electric current?
Current
Easy
A.Watt
B.Ampere
C.Coulomb
D.Volt
Correct Answer: Ampere
Explanation:
Electric current is measured in amperes, represented by .
Incorrect! Try again.
6A device operates at and draws . What power does it consume?
Power and energy concepts
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Electrical power is , so .
Incorrect! Try again.
7A resistor carries a current of . What is the voltage across it?
Ohm's law
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
By Ohm's law, .
Incorrect! Try again.
8According to Kirchhoff's Current Law, what is true at a circuit node?
Kirchhoff's laws
Easy
A.Power equals stored energy
B.Entering current equals leaving current
C.Resistance equals total current
D.Entering voltage equals leaving voltage
Correct Answer: Entering current equals leaving current
Explanation:
Kirchhoff's Current Law states that the total current entering a node equals the total current leaving it.
Incorrect! Try again.
9What is usually the first step when analyzing a simple DC circuit?
Basic method of circuit analysis
Easy
A.Identify elements and connections
B.Replace every source
C.Assume zero current
D.Remove every resistor
Correct Answer: Identify elements and connections
Explanation:
Circuit analysis begins by identifying the components, sources, nodes, branches, and their connections. Simple values may then be estimated using an intuitive method before equations are applied.
Incorrect! Try again.
10What is the equivalent resistance of two resistors connected in parallel?
Series and parallel simplification
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
For two equal resistors in parallel, the equivalent resistance is half of either resistance: .
Incorrect! Try again.
11Two resistors, and , are in series across . What is the voltage across the resistor?
Voltage division rule
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Using voltage division, .
Incorrect! Try again.
12A total current of enters two equal parallel resistors. What current flows through each resistor?
Current division rule
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Equal parallel resistors divide the total current equally, so each carries .
Incorrect! Try again.
13Why is a star-delta transformation used in circuit analysis?
Star-delta transformation
Easy
A.To simplify resistor networks
B.To increase source voltage
C.To measure electric charge
D.To convert DC into AC
Correct Answer: To simplify resistor networks
Explanation:
A star-delta transformation converts between star and delta resistor arrangements to make a network easier to analyze.
Incorrect! Try again.
14Which statement correctly describes an independent voltage source?
Introduction to dependent and independent sources
Easy
A.Its resistance is always infinite
B.Its current is always zero
C.Its voltage depends on circuit current
D.Its voltage is specified independently
Correct Answer: Its voltage is specified independently
Explanation:
An independent voltage source maintains a specified voltage that does not depend on another circuit variable.
Incorrect! Try again.
15Mesh analysis primarily applies Kirchhoff's Voltage Law to what part of a planar circuit?
Mesh analysis
Easy
A.Independent loops
B.Essential nodes
C.Parallel branches
D.Open terminals
Correct Answer: Independent loops
Explanation:
Mesh analysis assigns mesh currents and applies Kirchhoff's Voltage Law around independent loops.
Incorrect! Try again.
16In nodal analysis, circuit voltages are normally measured relative to which point?
Nodal analysis
Easy
A.Output branch
B.Current source
C.Reference node
D.Largest resistor
Correct Answer: Reference node
Explanation:
Nodal analysis expresses each node voltage relative to a selected reference or ground node.
Incorrect! Try again.
17What components form a Thevenin equivalent circuit?
Thevenin's theorem
Easy
A.One voltage source and one series resistance
B.Two current sources and one inductor
C.Two voltage sources and one capacitor
D.One current source and one series resistance
Correct Answer: One voltage source and one series resistance
Explanation:
A Thevenin equivalent consists of an ideal voltage source in series with a resistance.
Incorrect! Try again.
18What components form a Norton equivalent circuit?
Norton's theorem
Easy
A.Two current sources and one capacitor
B.Two voltage sources and one inductor
C.One current source and one parallel resistance
D.One voltage source and one parallel resistance
Correct Answer: One current source and one parallel resistance
Explanation:
A Norton equivalent consists of an ideal current source in parallel with a resistance.
Incorrect! Try again.
19For a resistive DC circuit, when is maximum power delivered to the load?
Maximum power transfer theorem
Easy
A.When
B.When
C.When
D.When
Correct Answer: When
Explanation:
Maximum power is transferred when the load resistance equals the Thevenin resistance seen from the load terminals.
Incorrect! Try again.
20When applying superposition, how is an ideal independent voltage source deactivated?
Superposition theorem
Easy
A.Replace it with an open circuit
B.Replace it with a short circuit
C.Replace it with a capacitor
D.Replace it with a current source
Correct Answer: Replace it with a short circuit
Explanation:
An ideal independent voltage source is set to zero volts, so it is replaced by a short circuit.
Incorrect! Try again.
21A copper wire has a resistance of . It is stretched uniformly to twice its original length without changing its volume. Assuming resistivity remains constant, what is its new resistance?
Resistance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Constant volume means doubling the length halves the cross-sectional area. Since , the new resistance is .
Incorrect! Try again.
22The current through a inductor increases uniformly from to in . What is the magnitude of the induced voltage?
Inductance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Using , the voltage is .
Incorrect! Try again.
23A capacitor charged to is connected in parallel with an uncharged capacitor. What is the final common voltage, assuming no energy is supplied externally?
Capacitance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Charge is conserved: . Thus, .
Incorrect! Try again.
24Moving a charge of between two points requires of work. What is the potential difference between the points?
Voltage
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Potential difference is work per unit charge: .
Incorrect! Try again.
25The charge passing through a conductor is described by coulombs. What is the current at ?
Current
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Current is . At , .
Incorrect! Try again.
26A resistor carries a constant current of for minutes. How much electrical energy is converted into heat?
Power and energy concepts
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Power is . For , .
Incorrect! Try again.
27A resistor draws when connected to . If the voltage is increased to while its resistance remains constant, what current will it draw?
Ohm's law
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The resistance is . Therefore, the new current is .
Incorrect! Try again.
28At a node, currents of and enter, while currents of and leave. What is the value of ?
Kirchhoff's laws
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Kirchhoff's current law gives . Therefore, .
Incorrect! Try again.
29A resistor and a resistor are connected in parallel. This combination is connected in series with a resistor. What is the equivalent resistance?
Series and parallel simplification
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The parallel equivalent is . Adding the series resistor gives .
Incorrect! Try again.
30Three resistors of , , and are connected in series across a supply. What is the voltage across the resistor?
Voltage division rule
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
By voltage division, .
Incorrect! Try again.
31A total current of enters two parallel resistors of and . What current flows through the resistor?
Current division rule
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Current divides inversely with resistance. Thus, .
Incorrect! Try again.
32A balanced delta network has a resistance of in each branch. What is the resistance of each branch of its equivalent star network?
Star-delta transformation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a balanced delta-to-star conversion, each star resistance is one-third of the delta resistance: .
Incorrect! Try again.
33A voltage-controlled current source has the value . If the controlling voltage is , what current does the source provide?
Introduction to dependent and independent sources
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Substituting the controlling voltage gives . Its value depends on another circuit variable, so it is a dependent source.
Incorrect! Try again.
34Two clockwise mesh currents and share a resistor. The left mesh also contains a resistor and a source that supports . If , what is ?
Mesh analysis
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The left-mesh equation is . With , , so .
Incorrect! Try again.
35A node of voltage is connected to ground through and to a fixed node through . A current source injects current from ground into the node. What is ?
Nodal analysis
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
KCL gives . Multiplying by yields , so .
Incorrect! Try again.
36A network seen from two terminals has an open-circuit voltage of . When the terminals are shorted, the current is . What is its Thevenin equivalent?
Thevenin's theorem
Medium
A. in series with
B. in series with
C. in series with
D. in series with
Correct Answer: in series with
Explanation:
The Thevenin voltage is the open-circuit voltage, . The resistance is .
Incorrect! Try again.
37A circuit has a Thevenin equivalent of in series with . What is the corresponding Norton equivalent?
Norton's theorem
Medium
A. in parallel with
B. in parallel with
C. in parallel with
D. in parallel with
Correct Answer: in parallel with
Explanation:
The Norton current is , and the Norton resistance remains .
Incorrect! Try again.
38A linear DC network has a Thevenin equivalent of in series with . What load resistance gives maximum power, and what is that maximum power?
Maximum power transfer theorem
Medium
A.,
B.,
C.,
D.,
Correct Answer: ,
Explanation:
Maximum power occurs when . Then .
Incorrect! Try again.
39In a linear circuit, a branch current is clockwise when only source 1 acts and counterclockwise when only source 2 acts. What is the branch current when both sources act?
Superposition theorem
Medium
A. clockwise
B. clockwise
C. counterclockwise
D. counterclockwise
Correct Answer: clockwise
Explanation:
Taking clockwise current as positive, superposition gives clockwise.
Incorrect! Try again.
40A source is connected across a network consisting of a resistor in series with a parallel combination of and . What current is supplied by the source?
Basic method of circuit analysis
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The parallel resistance is , giving . Therefore, the source current is .
Incorrect! Try again.
41Twelve identical resistors, each of resistance , form the edges of a cube. What is the equivalent resistance measured between two diagonally opposite vertices of the cube?
Resistance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
By symmetry, the three vertices adjacent to each terminal are equipotential. The cube reduces to parallel resistors, then parallel resistors, then parallel resistors in series: .
Incorrect! Try again.
42A ideal inductor has initial current . For , its voltage, referenced according to the passive sign convention, is . What is ?
Inductance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Using , the current change is . Therefore, .
Incorrect! Try again.
43A capacitor is charged to and a capacitor is charged to with opposite polarity. They are disconnected from their sources and connected in parallel with like-labeled terminals joined. What are the final voltage and the energy dissipated during charge redistribution?
Capacitance
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Charge conservation gives . The initial and final energies are and , so is dissipated.
Incorrect! Try again.
44A ideal voltage source, a resistor, and a ideal current source are connected in parallel. Both sources have their positive or upward-delivery direction toward the top node. What power is absorbed by the voltage source?
Voltage
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The voltage source fixes the resistor current at downward. Since the current source supplies only upward, the voltage source supplies the remaining upward. Its current leaves its positive terminal, so its absorbed power is .
Incorrect! Try again.
45A current flows through a conductor for . Which pair gives the total charge transported and the maximum current?
Current
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
The charge is . Setting gives , at which .
Incorrect! Try again.
46An element has across it and leaving its positive-voltage terminal for . How much net energy does the element deliver over this interval?
Power and energy concepts
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Because current leaves the positive terminal, the element delivers power . Thus, .
Incorrect! Try again.
47A resistor obeys , where is in degrees Celsius. Its steady temperature satisfies , where is its power in watts. When connected across an ideal source, what is the steady current?
Ohm's law
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Since , the resistance is . Applying gives , whose positive root is .
Incorrect! Try again.
48A connected circuit graph has nodes and branches. One additional branch is connected between two existing nodes without creating a new node. How do the numbers of independent KCL and KVL equations change?
Kirchhoff's laws
Hard
A.KCL increases from to ; KVL remains
B.KCL remains ; KVL increases from to
C.KCL remains ; KVL increases from to
D.KCL increases from to ; KVL increases from to
Correct Answer: KCL remains ; KVL increases from to
Explanation:
A connected graph has independent KCL equations and independent KVL equations. Adding a branch without adding a node leaves KCL at and increases KVL from to .
Incorrect! Try again.
49A node is connected through to a node, through to a node, and through to ground. A current source also points from node toward ground. What is ?
Intuitive method of circuit analysis
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
A direct current balance gives . Simplification yields , so .
Incorrect! Try again.
50An infinite ladder begins with a series resistor . At the following node, a resistor is connected to ground in parallel with an identical continuation of the entire ladder. What is the input resistance?
Series and parallel simplification
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
If the input resistance is , self-similarity gives . With , , producing . The positive solution is .
Incorrect! Try again.
51A source with internal resistance feeds an upper divider resistor and a lower divider resistor. A voltmeter of resistance measures the lower-resistor voltage. What are the measured voltage and the voltage after the meter is removed?
Voltage division rule
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
With the meter, the lower resistance is , giving . Without it, the voltage is .
Incorrect! Try again.
52A current enters the top node of three parallel branches. The branches are a resistor, a resistor in series with a source whose positive terminal is at the top, and a resistor. What current flows downward in the branch?
Current division rule
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
If the parallel voltage is , current balance gives , so . The middle-branch current is .
Incorrect! Try again.
53A delta network has resistances , , and . What are the equivalent star resistances ?
Star-delta transformation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The delta-resistance sum is . Therefore, , , and .
Incorrect! Try again.
54A node of voltage is connected to ground through a resistor and a voltage-controlled current source of value directed from the node to ground. An independent source injects current from ground into the node. What are and the power absorbed by the dependent source?
Introduction to dependent and independent sources
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
KCL gives , so . The dependent-source current is and enters its positive-voltage terminal, so it absorbs .
Incorrect! Try again.
55Two clockwise meshes share a current source directed upward in their common branch. The left and right outer branches contain and resistors, respectively. A source on the outer perimeter supplies a voltage rise in the clockwise supermesh direction. What are the mesh currents ?
Mesh analysis
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The current-source constraint is . Supermesh KVL gives . Solving the two equations gives and .
Incorrect! Try again.
56Nodes and form a supernode with an ideal source imposing . Node is connected to ground through and receives from a ground-to-node current source. Node is connected to ground through . What current flows through the voltage source from to ?
Nodal analysis
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Supernode KCL gives , while . Thus, . KCL at node gives .
Incorrect! Try again.
57A one-port has a resistor from a node to its output terminal, a resistor from the output to ground, and a dependent current source from ground to the output of value . Here is the current through the resistor directed toward the output. What is the Thevenin equivalent at the output?
Thevenin's theorem
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Open-circuit KCL gives , so . After deactivating the independent source and applying a test voltage, the input conductance is , giving .
Incorrect! Try again.
58At a one-port, an source with its negative terminal grounded connects its positive terminal to the port through . The port also connects to ground through and through a current source directed from the port to ground. What is the Norton equivalent, with Norton current referenced from the port to ground?
Norton's theorem
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
With the port shorted, the voltage-source branch supplies while the current source draws , leaving through the short. Deactivating the sources gives .
Incorrect! Try again.
59A Thevenin source with supplies a load consisting of a variable resistor in parallel with a fixed resistor. For what value of is the power absorbed by the variable resistor maximized, and what is that maximum power?
Maximum power transfer theorem
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
As viewed by , the remaining circuit has and . Maximum power occurs at , with .
Incorrect! Try again.
60A node is connected to ground through a load, to a node through , and to a node through . Using superposition correctly, what are the load-voltage contributions from the and sources, respectively, and the final load power?
Superposition theorem
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
With one voltage source active at a time, the load-voltage contributions are and . Voltages superpose to , so the load power is ; individual powers must not be superposed.
Incorrect! Try again.
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