Exercise: Networks Analysis And Synthesis

Questions for: Networks Analysis And Synthesis

A step voltages is applied to RLC series circuit having R = 2 Ω, L = 1 H and C = 1 F. The transient current response will be
A:
over damped
B:
critically damped
C:
under damped
D:
any of the above depending the magnitude of voltage
Answer: B

. Since R = Rcr, critically damped response.

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An RL impedance function can also be realized as
A:
RC impedance function
B:
RC admittance function
C:
LC impedance function
D:
LC admittance function
Answer: B

RL impedance function and RC admittance have similar forms.

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In figure the switch has been in position 1 for a long time. At t = 0, the switch is moved to position 2. The equation for transient current is
A:
B:
C:
D:
Answer: C

When switch is in position 2, time constant is

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Assertion (A): In series R-L-C circuit, the current may lead or lag the voltage depending on the value of R.

Reason (R): Phase angle of an R-L series circuit is tan-1 (ωL/R).

A:
Both A and R are true and R is correct explanation of A
B:
Both A and R are true and R is not the correct explanation of A
C:
A is true but R is false
D:
A is false but R is true
Answer: D

The current may lead or lag the voltage depending on values of L and C.

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In figure, the switch is closed at t = 0. After some time i = 6A and rate of change of current was 4A/s. The value of inductor is
A:
1 H
B:
1.5 H
C:
indeterminate
D:
0.5 H
Answer: D

Steady state current = A. Therefore, i = (1 - e-3t/L) = 6A and From these equations L = 0.5H.

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