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QUESTION: 1

An Inductor works as a ________ circuit for DC supply.

Solution:

Induced voltage across an inductor is zero if the current flowing through it is constant, i.e. Inductor works as a **short circuit **for DC supply.

QUESTION: 2

The equivalent circuit of the capacitor shown below is:

Solution:

Due to initial condition, at t = 0 capacitor will act as a constant voltage source (at t = 0, capacitor acts as short-circuit). Hence, option (d) is correct.

QUESTION: 3

The strength of current in 1 Henry inductor changes at a rate of 1 A/sec. The magnitude of energy stored in the inductor after 3 sec is:

Solution:

__∴ Current in the inductor after 3 sec is:__

1= 3 A

__Hence, energy is stored after 3 sec__:

QUESTION: 4

The current and voltage profile of an element vs time has been shown in given figure. The element and its value are respectively:

Solution:

- Since V is not proportional to R therefore, the element can’t be a resistor.
- At t = 5 ms, even if i ≠ 0, the element behaves as a short circuit therefore, the element can’t be a capacitor (since at t = 0 only capacitor behaves as short circuit).
- The current at t = 0 is zero and at t = 5 ms voltage across the element is zero therefore, the element must be an inductor (at t = 0, an inductor acts as open circuit and at t =∞ it behaves as short circuit).
- From the given voltage and current profile, we have:

QUESTION: 5

Figure shown below exhibits the voltage-time profile of a source to charge a capacitor of 50 μF. The value of charging current in amperes is:

Solution:

From given figure:

QUESTION: 6

The equivalent capacitance across the given terminals A-B is:

Solution:

- The equivalent combination of C
_{2}and C_{3}

- The equivalent combination of this 1 μF and C
_{1}= 2μF is C_{1}+ 1 μF = 3μF - Hence, the equivalent capacitance between terminals A and B is

QUESTION: 7

The charging time required to charge the equivalent capacitance between the given terminals a-b by a steady direct current of constant magnitude of 10 A is given by:

Solution:

__Equivalent capacitance between terminals a-b is:__

QUESTION: 8

An ac voltage of 220 V is applied to a pure inductance of 50 H. If the current is 5 A, the instantaneous value of voltage and current will be respectively given by:

Solution:

Max. value of current:

Assuming voltage as the reference phasor:

QUESTION: 9

The voltage and current through a circuit element is v= 100 sin (314 t + 45°) volts and i = 10 sin (314 t - 45 ° ) amps.

The type of circuit element and its value will be respectively:

Solution:

The phase difference between v and i is:

Since v leads i therefore, the circuit element is an inductor.

QUESTION: 10

The equivalent inductance for the inductive circuit shown below at terminal “ 1 - 2 ” is:

Solution:

Converting the internal star connected inductance to an equivalent delta, the circuit reduces as shown below.

Hence, equivalent circuit becomes as shown below.

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