1Which of the following elements is considered an active element?
A.Resistor
B.Inductor
C.Capacitor
D.Voltage Source
Correct Answer: Voltage Source
Explanation:Active elements are capable of delivering power to a circuit (amplifying or generating energy). Voltage sources are active elements, while resistors, inductors, and capacitors are passive elements that absorb or store energy.
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2A network element is said to be linear if it satisfies:
A.Only the principle of superposition
B.Only the principle of homogeneity
C.Both superposition and homogeneity principles
D.Neither superposition nor homogeneity
Correct Answer: Both superposition and homogeneity principles
Explanation:Linearity requires a system or element to satisfy both the principle of superposition (additivity) and the principle of homogeneity (scaling).
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3Which of the following is an example of a unilateral element?
A.Resistor
B.Diode
C.Capacitor
D.Inductor
Correct Answer: Diode
Explanation:A unilateral element conducts current differently depending on the direction (polarity) of the voltage applied. A diode conducts significantly in one direction (forward bias) and blocks in the other (reverse bias). Resistors, capacitors, and inductors are bilateral.
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4Kirchhoff's Current Law (KCL) is based on the law of conservation of:
A.Energy
B.Charge
C.Momentum
D.Mass
Correct Answer: Charge
Explanation:KCL states that the algebraic sum of currents entering a node is zero. This is a direct consequence of the conservation of electric charge, meaning charge cannot accumulate at a node.
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5Kirchhoff's Voltage Law (KVL) states that the algebraic sum of voltages around any closed path is:
A.Infinity
B.Equal to the source voltage
C.Zero
D.Equal to the sum of currents
Correct Answer: Zero
Explanation:KVL states that the sum of voltage drops and rises around a closed loop is zero (). This is based on the conservation of energy.
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6The internal resistance of an ideal voltage source is:
A.Infinite
B.Zero
C.Very high
D.Dependent on the load
Correct Answer: Zero
Explanation:An ideal voltage source maintains a constant terminal voltage regardless of the current drawn. This implies there is no internal voltage drop, so the internal resistance must be zero ().
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7The internal resistance of an ideal current source is:
A.Zero
B.Finite
C.Infinite
D.Negative
Correct Answer: Infinite
Explanation:An ideal current source delivers a constant current regardless of the voltage across its terminals. For this to happen, the internal parallel resistance must be infinite () so no current is diverted internally.
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8A transmission line is an example of a:
A.Lumped parameter network
B.Distributed parameter network
C.Non-linear network
D.Unilateral network
Correct Answer: Distributed parameter network
Explanation:In a transmission line, parameters like resistance, inductance, and capacitance are distributed along the length of the line, not concentrated at single points. Hence, it is a distributed parameter network.
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9In a bilateral element, the magnitude of current flow:
A.Depends on the polarity of the voltage source
B.Is the same for both directions of applied voltage
C.Is always zero
D.Increases exponentially with voltage
Correct Answer: Is the same for both directions of applied voltage
Explanation:Bilateral elements (like a standard resistor) offer the same impedance to current flow in either direction.
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10Calculate the voltage across in a series circuit with a voltage source and two resistors and using the Voltage Division Rule.
A.
B.
C.
D.
Correct Answer:
Explanation:The voltage division rule states that the voltage across a resistor in a series circuit is proportional to its resistance relative to the total resistance: .
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11Two resistors and are connected in parallel with a total current entering the combination. The current through is given by:
A.
B.
C.
D.
Correct Answer:
Explanation:The current division rule for two parallel resistors states that the current through one branch is the total current multiplied by the resistance of the opposite branch divided by the sum of resistances: .
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12Mesh Analysis is primarily based on:
A.Kirchhoff's Current Law
B.Kirchhoff's Voltage Law
C.Ohm's Law only
D.Superposition Theorem
Correct Answer: Kirchhoff's Voltage Law
Explanation:Mesh analysis involves writing KVL equations for each independent mesh (loop) in a planar circuit to solve for mesh currents.
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13Nodal Analysis is primarily based on:
A.Kirchhoff's Current Law
B.Kirchhoff's Voltage Law
C.The reciprocity theorem
D.Maximum power transfer
Correct Answer: Kirchhoff's Current Law
Explanation:Nodal analysis involves applying KCL at each non-reference node to solve for node voltages.
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14For a network with nodes and branches, the number of independent KCL equations (nodal equations) required is:
A.
B.
C.
D.
Correct Answer:
Explanation:In nodal analysis, one node is chosen as the reference (ground). Equations are written for the remaining nodes.
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15For a network with nodes and branches, the number of independent KVL equations (mesh equations) required is:
A.
B.
C.
D.
Correct Answer:
Explanation:This is the fundamental topology equation. The number of independent loops (links) is .
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16Mesh analysis is applicable only to:
A.Planar networks
B.Non-planar networks
C.Both planar and non-planar networks
D.Networks with no sources
Correct Answer: Planar networks
Explanation:Mesh analysis relies on defining 'meshes' which are loops that do not contain other loops. This concept is strictly defined only for planar networks (circuits that can be drawn without crossing lines).
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17A Dependent Source is represented by which symbol in circuit diagrams?
A.Circle
B.Diamond
C.Square
D.Triangle
Correct Answer: Diamond
Explanation:Independent sources are typically represented by circles, while dependent (controlled) sources are represented by diamond shapes.
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18If a voltage source in series with a resistance is transformed into an equivalent current source, the value of the current source is:
A.
B.
C.
D.
Correct Answer:
Explanation:According to source transformation, a real voltage source ( in series with ) is equivalent to a current source in parallel with the same resistance .
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19When performing a source transformation from a current source to a voltage source, the parallel resistance becomes:
A.A series resistance with value
B.A series resistance with the same value
C.A parallel resistance with value
D.It is removed from the circuit
Correct Answer: A series resistance with the same value
Explanation:During source transformation, the resistance value remains the same, but its connection changes from parallel (with current source) to series (with voltage source).
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20A VCVS stands for:
A.Voltage Controlled Voltage Source
B.Variable Current Variable Source
C.Voltage Current Voltage Source
D.Variable Controlled Voltage Source
Correct Answer: Voltage Controlled Voltage Source
Explanation:VCVS is a standard abbreviation for a dependent source where the output voltage is controlled by a voltage elsewhere in the circuit.
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21Which of the following is true for a Supermesh?
A.It occurs when a voltage source is shared between two meshes
B.It occurs when a current source is shared between two meshes
C.It is used in Nodal Analysis
D.It simplifies the circuit by removing resistors
Correct Answer: It occurs when a current source is shared between two meshes
Explanation:A supermesh is formed when a current source (dependent or independent) is located on the boundary between two meshes. KVL is applied to the combined loop.
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22Which of the following is true for a Supernode?
A.It is formed when a current source is between two non-reference nodes
B.It is formed when a voltage source is connected between two non-reference nodes
C.It is formed when a resistor is zero
D.It implies the voltage is zero
Correct Answer: It is formed when a voltage source is connected between two non-reference nodes
Explanation:In nodal analysis, if a voltage source is connected between two nodes (neither being the reference/ground), those two nodes and the source form a supernode. KCL is applied to the supernode as a whole.
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23In a linear network containing multiple independent sources, the response in any element is the algebraic sum of the responses due to each source acting alone. This is the statement of:
A.Thevenin's Theorem
B.Norton's Theorem
C.Superposition Theorem
D.Reciprocity Theorem
Correct Answer: Superposition Theorem
Explanation:This describes the Superposition Theorem, which applies to linear bilateral networks.
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24When applying KVL to a loop, if you traverse a voltage source from the negative terminal to the positive terminal, the term in the equation is usually taken as:
A.Negative (Voltage Drop)
B.Positive (Voltage Rise)
C.Zero
D.Imaginary
Correct Answer: Positive (Voltage Rise)
Explanation:Conventionally, moving from to indicates a gain in potential (Rise), so it is written as . Moving from to is a drop, written as .
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25Which matrix is typically used to represent a system of equations in Nodal Analysis?
A.Impedance Matrix ()
B.Admittance Matrix ()
C.Hybrid Matrix ()
D.Transmission Matrix ()
Correct Answer: Admittance Matrix ()
Explanation:Nodal analysis equations are often written in matrix form as , where is the admittance (conductance) matrix.
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26In the mesh analysis matrix form , the diagonal elements represent:
A.The mutual resistance between mesh and
B.The sum of all resistances in mesh
C.The source resistance only
D.The conductance of mesh
Correct Answer: The sum of all resistances in mesh
Explanation:In the resistance matrix for mesh analysis, the diagonal term is the self-resistance of the mesh, which is the sum of all resistors contained in that specific loop.
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27An ideal voltage source connected in parallel with a resistor is equivalent to:
A.The voltage source alone (from the perspective of external terminals)
B.The resistor alone
C.A current source
D.Zero voltage
Correct Answer: The voltage source alone (from the perspective of external terminals)
Explanation:An ideal voltage source fixes the voltage across its terminals. A parallel resistor draws current but does not change the terminal voltage seen by the rest of the circuit. Thus, for external analysis, the parallel resistor can often be ignored (though it dissipates power).
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28An ideal current source connected in series with a resistor is equivalent to:
A.The current source alone (from the perspective of external terminals)
B.The resistor alone
C.A voltage source
D.Zero current
Correct Answer: The current source alone (from the perspective of external terminals)
Explanation:An ideal current source forces a specific current through the branch. A series resistor affects the voltage required to drive that current but does not change the magnitude of the current delivered to the external circuit.
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29The relationship describes which circuit element?
A.Resistor
B.Capacitor
C.Inductor
D.Memristor
Correct Answer: Inductor
Explanation:This is the constitutive equation for an inductor, relating voltage to the rate of change of current.
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30Which of the following elements is non-linear?
A.Carbon composition resistor
B.Air-core inductor
C.Incandescent Lamp filament
D.Paper capacitor
Correct Answer: Incandescent Lamp filament
Explanation:The resistance of a lamp filament changes significantly with temperature (which changes with current/voltage). Therefore, the V-I relationship is not a straight line, making it non-linear.
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31In nodal analysis, the reference node is usually assigned a voltage of:
A.1 V
B.10 V
C.0 V
D.Undefined
Correct Answer: 0 V
Explanation:The reference node (ground) is arbitrarily assigned a potential of 0 Volts to simplify calculations relative to other nodes.
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32If a circuit has 5 nodes and 7 branches, how many independent loops (mesh equations) are there?
A.2
B.3
C.4
D.5
Correct Answer: 3
Explanation:Using the formula : .
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33Conductance () is the reciprocal of:
A.Inductance
B.Capacitance
C.Resistance
D.Voltage
Correct Answer: Resistance
Explanation:. The unit is Siemens (S) or Mho.
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34A CCVS is a dependent source where:
A.A voltage controls a current
B.A current controls a voltage
C.A voltage controls a voltage
D.A current controls a current
Correct Answer: A current controls a voltage
Explanation:CCVS stands for Current Controlled Voltage Source.
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35Lumped parameter circuits are valid only when:
A.The physical dimensions of the circuit are much larger than the wavelength of the signal
B.The physical dimensions of the circuit are much smaller than the wavelength of the signal
C.The frequency is infinite
D.The circuit contains no active elements
Correct Answer: The physical dimensions of the circuit are much smaller than the wavelength of the signal
Explanation:The lumped parameter assumption holds when the signal propagates across the circuit virtually instantly, which requires the circuit size to be negligible compared to the signal wavelength.
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36When writing mesh equations, if two meshes share a common resistor , the term corresponding to the adjacent mesh current is usually:
A.Positive
B.Negative
C.Zero
D.Squared
Correct Answer: Negative
Explanation:In standard mesh analysis where all mesh currents are defined in the same direction (e.g., clockwise), the current in the shared resistor flows in opposite directions for the two meshes. Thus, the mutual resistance term is negative.
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37Can Source Transformation be applied to dependent sources?
A.No, never
B.Yes, provided the controlling variable is external to the source being transformed
C.Yes, provided the controlling variable is inside the source
D.Only for current sources, not voltage sources
Correct Answer: Yes, provided the controlling variable is external to the source being transformed
Explanation:Source transformation applies to dependent sources exactly like independent sources, but care must be taken not to lose the variable controlling the dependency during the transformation.
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38Which element does NOT store energy?
A.Capacitor
B.Inductor
C.Resistor
D.Battery
Correct Answer: Resistor
Explanation:Resistors dissipate energy as heat; they do not store it. Capacitors store energy in electric fields, inductors in magnetic fields, and batteries store chemical energy.
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39Two resistors and are in parallel. What is the equivalent resistance?
A.
B.
C.
D.
Correct Answer:
Explanation:For two equal resistors in parallel: .
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40In a node voltage equation, the diagonal term of the admittance matrix is always:
A.Negative
B.The sum of conductances connected to that node (Positive)
C.The difference of conductances
D.Zero
Correct Answer: The sum of conductances connected to that node (Positive)
Explanation:In the standard matrix formulation for nodal analysis (), the diagonal element is the sum of all conductances connected to node .
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41A practical voltage source is modeled as:
A.An ideal voltage source in parallel with a resistor
B.An ideal voltage source in series with a resistor
C.An ideal current source in series with a resistor
D.Just a resistor
Correct Answer: An ideal voltage source in series with a resistor
Explanation:Real-world voltage sources have internal resistance which causes a voltage drop as load current increases. This is modeled by a series resistor.
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42If a network contains only independent current sources, nodal analysis is usually preferred because:
A.Current sources can be directly entered into the current vector
B.Voltage sources are harder to handle
C.Mesh analysis is impossible
D.The matrix size is smaller
Correct Answer: Current sources can be directly entered into the current vector
Explanation:In nodal analysis, entering a node appears directly on the right-hand side of the equation system , making setup very fast.
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43The algebraic sum of currents entering a node is . What does the negative sign on indicate?
A. is zero
B. is entering the node
C. is leaving the node
D. is an AC current
Correct Answer: is leaving the node
Explanation:By convention in KCL, if entering currents are positive, leaving currents are negative (or vice versa). Since and are added, and is subtracted, flows in the opposite direction.
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44Which of the following equations represents Ohm's Law in terms of conductance ?
A.
B.
C.
D.
Correct Answer:
Explanation:Since and , substituting R gives , which rearranges to .
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45Power absorbed by a resistor is given by:
A.
B.
C.
D.
Correct Answer:
Explanation:Power . Using Ohm's law (), .
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46A voltage source has a terminal voltage of 10V when open-circuited and 9V when supplying 1A. What is its internal resistance?
A.
B.
C.
D.
Correct Answer:
Explanation:Open circuit voltage . Load voltage at . The voltage drop across internal resistance is . .
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47What is the result of connecting two ideal voltage sources of different magnitudes in parallel?
A.The output is the average voltage
B.The output is the sum of voltages
C.This violates KVL and is theoretically impossible
D.The output is the larger voltage
Correct Answer: This violates KVL and is theoretically impossible
Explanation:Ideal voltage sources define the voltage across their terminals. Connecting and () in parallel implies the voltage across the same two points is simultaneously and , which is a contradiction violating Kirchhoff's Voltage Law.
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48What is the result of connecting two ideal current sources of different magnitudes in series?
A.The current is the sum
B.The current is the difference
C.The current is the average
D.This violates KCL and is theoretically impossible
Correct Answer: This violates KCL and is theoretically impossible
Explanation:Series elements must carry the same current. If source demands 1A and source demands 2A in the same branch, KCL is violated at the node between them.
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49The time integral of current is:
A.Voltage
B.Power
C.Energy
D.Charge
Correct Answer: Charge
Explanation:Current . Therefore, charge .
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50Which analysis method is best suited for a circuit with many parallel branches and fewer nodes?
A.Mesh Analysis
B.Nodal Analysis
C.Superposition
D.Source Transformation
Correct Answer: Nodal Analysis
Explanation:Nodal analysis produces equations based on the number of nodes (). If a circuit has many parallel branches, it likely has fewer nodes compared to the number of meshes, making Nodal Analysis more efficient (fewer equations).
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