Question

The magnetic field in the cylindrical region shown in figure increases at a constant rate of 20 mT/sec. Each side of the square loop ABCD has a length of 1 cm and resistance of 16 ohm. Find the current in the wire AB if the switch S is closed

• A. 1.25 X 10^-7 A ,(anti-clockwise)
• B. 1.25 X 10^-7 A ,(clockwise)
• C. 2.5 X 10^-7 A ,(anti clockwise)
• D. 2.5 X 10^-7 A ,(clockwise)

Answer 1

The correct option is A 1.25 X 10^-7 A ,(anti-clockwise)

$i=\frac{e}{R}=\frac{A}{R}.\frac{dB}{dt}=\frac{(1\times {10}^{-2}{)}^2}{16}\times 20\times {10}^{-3}=1.25\times {10}^{-7}$ A
(Anti-clockwise).