Magnetically Coupled Circuits - MCQ Test


20 Questions MCQ Test Mock Tests Electronics & Communication Engineering GATE 2020 | Magnetically Coupled Circuits - MCQ Test


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QUESTION: 1

In the circuit shown in fig 

i = 5sin 3t A and i= 3 cos 3t A.

v2 = ?

Solution:

=36 sin 3t + 45 cos 3t = 9(4sin 3t + 5cos 3t)  V

QUESTION: 2

In the circuit shown in fig. if current i1 = 5 cos (500t - 20°) mA and i2 = 20 cos (500t - 20°) mA, the total energy stored in system at t = 0 is

Solution:

At t = 0, i1 = 4 cos (-20°) = 4.7 mA
i2 = 20 cos (-20°) = 18.8 mA, 


= 151.3 μJ

QUESTION: 3

Leq  = ?

 

Solution:

QUESTION: 4

Leq = ?

Solution:

 

QUESTION: 5

Leq = ?

Solution:

QUESTION: 6

Leq = ?

Solution:

QUESTION: 7

The equivalent inductance of a pair of a coupled inductor in various configuration are
(a) 7 H after series adding connection
(b) 1.8 H after series opposing connection
(c) 0.5 H after parallel connection with dotted terminal connected together.

The value of L1 L2 , and M are

Solution:

 
⇒ 


QUESTION: 8

Leq = ?

Solution:

QUESTION: 9

Leq = ?

Solution:

QUESTION: 10

Leq = ?

Solution:



 

QUESTION: 11

Leq = ?

Solution:

Let I1 be the current through 4 H inductor and I2 and I3 be the current through 3 H, and 2 H inductor respectively


 


QUESTION: 12

Consider the circuit shown in fig.

The voltage VAG of terminal AD is

Solution:

QUESTION: 13

Consider the circuit shown in fig

The voltage vBG of terminal BD is

Solution:

QUESTION: 14

Consider the circuit shown in fig.

The voltage vGC of terminal CD is

Solution:

QUESTION: 15

In the circuit of fig. the  ω =2 rad/s. The resonance occurs when C is

Solution:







QUESTION: 16

In the circuit of fig, the voltage gain is zero at ω= 333.33 rad/s.

The value of C is

Solution:

QUESTION: 17

In the circuit of fig. at ω = 333.33 rad/s, the voltage gain vout / vin  is zero. The value of C is

Solution:

The π  equivalent circuit of coupled coil is shown in fig


Output is zero if 

QUESTION: 18

The evenin equivalent at terminal ab for the network shown in fig. is 

Solution:

Applying 1 V test source at ab terminal,


 
 
 = 0.25 A

QUESTION: 19

In the circuit of fig. the maximum power delivered to RL is

Solution:

Impedance seen by RL = 10 x 42 = 160 Ω
For maximum poer RL = 160Ω, Zo = 10Ω
= 250 W

QUESTION: 20

The average power delivered to the 8 Ω load in the circuit of fig. is

Solution:

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