A coducting circular loop of area `1mm^2` is placed coplanarly with a long, straight wire at a distance of 20 cm from if. The straight wire carries an electric current which changes from 10A to zero is 0.1 s. Find the average emf induced in the loop in 0.1 s.

Options

A. `10^(-10)V`
B. `10^(-11)V`
C. `10^(-12)V`
D. `10^(-13)V`

Answer

A

Explanation

Magnetic field due to wire at the loop
`B=(mu_(0)i)/(2pid)`
Flux through loop
`phi=BA=(mu_(0)i)/(2pid)A`
`|bar(e)|=(Deltaphi)/(Deltat)=(mu_(0)A)/(2pid)((i_(2)-_(1)))/(Deltat)`
`=(2xx10^(-7)xx1xx10-^(-6)(0-10))/(0.2xx0.1)`
`=10^(-6)V` .