Question

The magnetic field B= 2t+4t² (where t=time) is applied perpendicular to the plane of a circular wire of radius r and resistance R. If all the units are in SI the electric charge that flows through the circular wire during t=0s to t=2s is​

Answer 1

Explanation:

Correct option is

B

R

20πr

2

Given B=2t+4t

2

at t=0,B

1

=0

and at t=2,B

2

=2×2+4(2)

2

=4+16=20Wb/m

2

We have ΔQ=

R

Δϕ

=

R

πr

2

(B

2

−B

1

)

=

R

πr

2

(20−0)

=

R

20πr

2