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Q.

A triangular wire frame (each side = 2m) is placed ion a region of time variant magnetic field having dBdt=3T/s. The magnetic field is perpendicular to the plane of the triangle. The base of the triangle AB has a resistance 1Ω while the other two sides have resistance 2Ω each. The magnitude of potential difference between the points A and B will be

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a

1.2 V

b

0.6 V

c

0.4 V

d

None of these

answer is A.

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Detailed Solution

Induced emf,

ε=dϕdt=ddt(B·A) =A dBdt=3×3=3V

Induced current =35=0.6A

Potential difference between the point A and B,

VAB=1-(0.6)(1)=0.4V

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