A metallic wire bent in the form of a semi-circle of radius 0.1 m is moved in a direction parallel to its plane, but perperdicular to a magnetic field `B = 20 mT with a vel. Of 10 `m//s`. Find the e.m.f. induced in the wire.

Explanation

Here, `vec A = (30 hat I + 16 hat j + 23 hat k) cm^(2)`
Magnitude of area vector
`A = sqrt(30^(2) + 16^(2) + 23^(2))`
`= sqrt(900 + 256 + 529)`
`= sqrt(1685) = 41 cm^(2)`
`14 xx 10^(-4) m^(2)`
`phi = 5 mu Wb = 5 xx 10^(-6) Wb, B = ? theta = 0^(@)`
From `phi = BA cos theta`
`B = (phi)/(A cos 0^(@)) = (phi)/(A) = (5 xx 10^(-6))/(41 xx 10^(-4))`
`= 1.22 xx 10^(-3) T`