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