Question

A circular coil of cross-sectional area 200 cm² and 20 turns is rotated about the vertical diameter with angular speed of 50 rad s⁻¹ in a uniform magnetic field of magnitude 3.0 × 10⁻²T. Calculate the maximum value of the current in the coil.

Answer 1

Here, A = 200 cm²
N=20
ω = 50 rad/s
B = 3.0× 10⁻² T
for maximum current emf induced should be maximum.

So, for maximum emf sinωt in e = NAB ω sinωt should be 1.

Hence, e = NABω

`e = 20 × 200/10000 × 50 × 3 × 10^-2 `

`e= 0.6 V`

Since, resistance of the circular loop is not given, let us consider its resistance to be R.

Therefore, current I in the coil is

`I = 0.6/R A`