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Assertion (A): The Laplace transform of a ramp is 1/s2.Reason (R): The integral of a unit step function gives an impulse function.

Assertion (A): The Laplace transform of a ramp is 1/s2.Reason (R): The integral of a unit step function gives an impulse function.

Assertion (A): In an R-L circuit having high inductance, the rise of current is very slow.Reason (R): The time constant of R-L circuit is L/R.

Assertion (A): In an R-L circuit having high inductance, the rise of current is very slow.Reason (R): The time constant of R-L circuit is L/R.

Assertion (A): In a parallel circuit with three branches having R, L and C respectively and fed by a step current I, the current through inductance is always zero.Reason (R): The time constant of R-L circuit is L/R.

Assertion (A): In a parallel circuit with three branches having R, L and C respectively and fed by a step current I, the current through inductance is always zero.Reason (R): The time constant of R-L circuit is L/R.

Assertion (A): A complicated waveform can be replaced by sum or difference of two or more waveforms.Reason (R): The method of superposition is applicable only to linear systems.

Assertion (A): A complicated waveform can be replaced by sum or difference of two or more waveforms.Reason (R): The method of superposition is applicable only to linear systems.

Assertion (A): The s domain impedance of a series R-L circuit is R + sL irrespective of initial conditions.Reason (R): Complex frequency s = σ + jω.

Assertion (A): The s domain impedance of a series R-L circuit is R + sL irrespective of initial conditions.Reason (R): Complex frequency s = σ + jω.

Assertion (A): A tree of graph contains all the nodes of the graph.Reason (R): The number of links is always less than the number of tree branches.

Assertion (A): A tree of graph contains all the nodes of the graph.Reason (R): The number of links is always less than the number of tree branches.

Assertion (A): The number of basic loops is equal to number of links.Reason (R): The graph theory helps in choosing independent variables in circuit analysis.

Assertion (A): The number of basic loops is equal to number of links.Reason (R): The graph theory helps in choosing independent variables in circuit analysis.

Assertion (A): A graph can have many trees.Reason (R): The number of tree branches is equal to number of nodes.

Assertion (A): A graph can have many trees.Reason (R): The number of tree branches is equal to number of nodes.

Assertion (A): Tie set schedule is used in nodal analysis.Reason (R): Loop currents are fictitious quantities.

Assertion (A): Tie set schedule is used in nodal analysis.Reason (R): Loop currents are fictitious quantities.

Assertion (A): A branch with no current through it can be replaced by an open circuit or short circuit.Reason (R): Reciprocity theorem is applicable only if the circuit has one source.

Assertion (A): A branch with no current through it can be replaced by an open circuit or short circuit.Reason (R): Reciprocity theorem is applicable only if the circuit has one source.

Assertion (A): The inductance of an iron cored solenoid is not constant.Reason (R): BH curve of an iron specimen is non-linear.

Assertion (A): The inductance of an iron cored solenoid is not constant.Reason (R): BH curve of an iron specimen is non-linear.

Assertion (A): Most of magnetic circuits have an air gap.Reason (R): An air gap has high reluctance.

Assertion (A): Most of magnetic circuits have an air gap.Reason (R): An air gap has high reluctance.

Assertion (A): An impulse has very high magnitude but very small duration.Reason (R): A pulse function is always rectangular.

Assertion (A): An impulse has very high magnitude but very small duration.Reason (R): A pulse function is always rectangular.

Assertion (A): A parallel resonant circuit is also called anti-resonant circuit.Reason (R): In a parallel resonant circuit impedance is maximum at resonance.

Assertion (A): A parallel resonant circuit is also called anti-resonant circuit.Reason (R): In a parallel resonant circuit impedance is maximum at resonance.

Assertion (A): A band elimination filter attenuates signals whose frequencies lie between the cutoff frequencies.Reason (R): A band elimination circuit is very different from band pass circuit.

Assertion (A): A band elimination filter attenuates signals whose frequencies lie between the cutoff frequencies.Reason (R): A band elimination circuit is very different from band pass circuit.

Assertion (A): When excited by a unit step voltage, an inductor behaves as open circuit at t = 0.Reason (R): Inductance has the property of inertia.

Assertion (A): When excited by a unit step voltage, an inductor behaves as open circuit at t = 0.Reason (R): Inductance has the property of inertia.

Assertion (A): In KVL equations involving mutually coupled circuits the sign of M terms can be positive or negative.Reason (R): Dot convention helps in determining sign of M terms in KVL equations.

Assertion (A): In KVL equations involving mutually coupled circuits the sign of M terms can be positive or negative.Reason (R): Dot convention helps in determining sign of M terms in KVL equations.

Assertion (A): Thevenin’s theorem helps us to find current in a branch of a network for different values of impedances of that branch.Reason (R): Thevenin’s equivalent circuit replaces a network by a voltage source in series with impedance.

Assertion (A): Thevenin’s theorem helps us to find current in a branch of a network for different values of impedances of that branch.Reason (R): Thevenin’s equivalent circuit replaces a network by a voltage source in series with impedance.

Assertion (A): Thevenin’s theorem and Norton’s theorem are dual of each other.Reason (R): Voltage source can be converted into current source and vice versa.

Assertion (A): Thevenin’s theorem and Norton’s theorem are dual of each other.Reason (R): Voltage source can be converted into current source and vice versa.

Assertion (A): Millman’s theorem helps in replacing a number of current sources in parallel by a single current source.Reason (R): Maximum power transfer theorem is applicable only for dc, circuits.

Assertion (A): Millman’s theorem helps in replacing a number of current sources in parallel by a single current source.Reason (R): Maximum power transfer theorem is applicable only for dc, circuits.

Assertion (A): In drawing an electric circuit analogous to a mechanical circuit, spring is replaced by capacitance.Reason (R): The behaviour of a spring and capacitor are similar.

Assertion (A): In drawing an electric circuit analogous to a mechanical circuit, spring is replaced by capacitance.Reason (R): The behaviour of a spring and capacitor are similar.

Assertion (A): The response of a network to unit impulse can be obtained directly from the network function.Reason (R): The response of a network for any input can be obtained from impulse response.

Assertion (A): The response of a network to unit impulse can be obtained directly from the network function.Reason (R): The response of a network for any input can be obtained from impulse response.

Assertion (A): A series RLC circuit resonates when excited by variable frequency source.Reason (R): Resonant frequency is geometric mean of half power frequencies.

Assertion (A): A series RLC circuit resonates when excited by variable frequency source.Reason (R): Resonant frequency is geometric mean of half power frequencies.

Assertion (A): A graph is planar if it has a dual.Reason (R): The dual of a graph can be found by window dot method.

Assertion (A): A graph is planar if it has a dual.Reason (R): The dual of a graph can be found by window dot method.

Assertion (A): Superposition theorem can be used to find the output of a full wave rectifier excited by sinusoidal signal sources of different frequencies connected in series.Reason (R): Superposition theorem is valid for all linear systems.

Assertion (A): Superposition theorem can be used to find the output of a full wave rectifier excited by sinusoidal signal sources of different frequencies connected in series.Reason (R): Superposition theorem is valid for all linear systems.

Assertion (A): If Z1(s) and Z2(s) are positive real then Z1(s) + Z2(s) as well as 1/Z1(s) and 1/Z2(s) are positive real.Reason (R): The poles of a positive real function are real or occur in conjugate pairs.

Assertion (A): If Z1(s) and Z2(s) are positive real then Z1(s) + Z2(s) as well as 1/Z1(s) and 1/Z2(s) are positive real.Reason (R): The poles of a positive real function are real or occur in conjugate pairs.

Assertion (A): The polynomial s3 + 6s2 + 12s + 8 is Hurwitz.Reason (R): In a Hurwitz polynomial all coefficients are non-negative.

Assertion (A): The polynomial s3 + 6s2 + 12s + 8 is Hurwitz.Reason (R): In a Hurwitz polynomial all coefficients are non-negative.

Assertion (A): In a series resonant circuit current is maximum at resonance.Reason (R): The inductive and capacitive reactances are equal.

Assertion (A): In a series resonant circuit current is maximum at resonance.Reason (R): The inductive and capacitive reactances are equal.

In a power system, reactive power is necessary for

In a power system, reactive power is necessary for

The bridge is balanced when the value of R is

The bridge is balanced when the value of R is

Assertion (A): When a square periodic wave is applied to an RC circuit, the voltage across capacitor is observed to be a triangular periodic wave.Reason (R): The RC circuit works as integrator and its time constant is much larger than time period of input wave.

Assertion (A): When a square periodic wave is applied to an RC circuit, the voltage across capacitor is observed to be a triangular periodic wave.Reason (R): The RC circuit works as integrator and its time constant is much larger than time period of input wave.

Assertion (A): Two terminal black boxes of R and C can be identified by plotting their static V-I characteristics.Reason (R): The V-I characteristic of resistance is a straight line of slope R passing through origin.

Assertion (A): Two terminal black boxes of R and C can be identified by plotting their static V-I characteristics.Reason (R): The V-I characteristic of resistance is a straight line of slope R passing through origin.

Assertion (A): In high Q circuits poles of Y(s) lie close to ω axis in complex frequency plane.Reason (R): Q is inversely proportional to damping factor.

Assertion (A): In high Q circuits poles of Y(s) lie close to ω axis in complex frequency plane.Reason (R): Q is inversely proportional to damping factor.

An atom of a rare gas is placed is an electric field E. Then

An atom of a rare gas is placed is an electric field E. Then

Assertion (A): The impedance of a series resonant circuit is minimum at resonance.Reason (R): Resonance condition implies unity power factor condition.

Assertion (A): The impedance of a series resonant circuit is minimum at resonance.Reason (R): Resonance condition implies unity power factor condition.

Assertion (A): For a physically realisable driving point function, the degree of numerator and denominator should be equal.Reason (R): The sum of positive real functions is real.

Assertion (A): For a physically realisable driving point function, the degree of numerator and denominator should be equal.Reason (R): The sum of positive real functions is real.

When an alternating current passes through an ohmic resistance the electrical power converted into heat is

When an alternating current passes through an ohmic resistance the electrical power converted into heat is

A coil is connected across a 200 V, 50 Hz supply and takes a current of 10 A. The loss in the coil is 1000 W. The impedance and resistance of the coil are

A coil is connected across a 200 V, 50 Hz supply and takes a current of 10 A. The loss in the coil is 1000 W. The impedance and resistance of the coil are

While drawing vector diagram for a series circuit, the reference vector is

While drawing vector diagram for a series circuit, the reference vector is

The impedance 3.2 – j 12 in polar form is given as

The impedance 3.2 – j 12 in polar form is given as