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Q.

The magnetic field in the cylindrical region shown in figure increases at a constant rate of 10.0 mT/s. Each side of the square loop abcd and defa has a length of 2.00 cm and resistance of 2.00Ω. Correctly match the current in the wire ad in four different situations as listed in column I with the values given in column II.

Question Image
 Column-I Column-II
a)The switch S1 is closed but S2 is openp)5×107A,d  to  a
b)S1 is open but S2 is closed q)5×107A,a  to  d
c)Both S1 and  S2 are open r)2.5×108A,d  to  a
d)Both S1 and  S2 are closeds)No current flows 

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a

ap;bs;cr;dq

b

ar;bs;cq;dp

c

aq;bp;cs;ds

d

aq,;br;cs;dp

answer is B.

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Detailed Solution

The switch S1 is closed but S2 is open

e=dt=AdBdt=4×104×102=4×106V

i=4×10-68=5×10-7A from a to d.

Similarly,

when S1 is open but S2 is closed, i= 5×107A,d  to  a

when Both S1 and  S2 are closed, no current flows as the circuit forms a balanced wheat stone bridge and no current will flow along ad

when Both S1 and  S2 are open , no current flows as it will be a open circuit.

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