Question : A conducting square loop of side 'L' and resistance 'R' moves in its plane with a uniform velocity 'V' perpendicular to one of its sides. A magnetic induction 'B' constant in time and space pointing perpendicular and into the plane of the loop exists everywhere as shown in the figure. The current induced in the loop is
a) BLV/R Clockwise
b) BLV/R Anticlockwise
c) 2BLV/R Anticlockwise
d) Zero
Doubt by Tushar
Solution :
According to Faraday's Laws of Electromagnetic Induction
ε = -dΦ/dt
ε = -d(BAcosθ)/dt
[∵Φ = BAcosθ]
Here
B = constant
A = constant
cosθ = constant
ε = -d(BAcosθ)/dt
[∵Φ = BAcosθ]
Here
B = constant
A = constant
cosθ = constant
so Φ = const.
As we know, differentiation of constant is always zero.
so induced emf will be zero
ε=0
Induced current,
I= ε/R
= 0/R
Induced current,
I= ε/R
= 0/R
= 0
Hence, d) would be the correct option.