In the figure shown, there is a magnetic field in the x - direction with |B| = 0.2 T , The loop has an area of 5 `cm^(2)` and rotates about line CD as z - axis. Point A rotates towards positvie x axis and intially x - axis is perpanedicular to the plane of the loop. If AE rotates through an angle of `30^(@)` from the intial position in 0.2 seconds.

The change in flux through the coil is

Options

A. 1.34 `xx 10^(-5)` Wb
B. `- 1.34 xx 10^(-5)` Wb
C. `1.34 xx 10^(-3)` Wb
D. `-1.34 xx 10^(-3)` Wb

Answer

B

Explanation

`B = 0.2hat(i), hat A_(i) = (5)/(10^(4)) hati m^(2) = hat A_(t) = (5)/(10^(4))[sqrt(3)/(2)hati(1)/(2)hatj]m^(2).t=0.2` sec