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Physics-

General

Easy

Question

PQ and RS are long parallel conductors separated by certain distance. M is the mid-point between them (see the figure). The net magnetic field at M is B. Now, the current 2A is switched off. The field at M now becomes

2B
B
$\frac{B}{2}$
3B

The correct answer is: B

Magnetic field at mid-point $M$ in first case is $B equals B subscript P Q end subscript minus B subscript R S end subscript$
$left parenthesis therefore B subscript P Q end subscript a n d blank B subscript R S end subscript a r e blank i n blank o p p o s i t e blank d i r e c t i o n s right parenthesis$
$equals fraction numerator 4 blank mu subscript 0 end subscript over denominator 4 pi d end fraction minus fraction numerator 2 blank mu subscript 0 end subscript over denominator 4 pi d end fraction equals fraction numerator 2 blank mu subscript 0 end subscript over denominator 4 pi d end fraction$
When the current 2 A is switched off, the net magnetic field at $M$ is due to current 1 A
$B to the power of ´ end exponent equals fraction numerator mu subscript 0 end subscript cross times 2 cross times 1 over denominator 4 pi d end fraction equals B$

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