Question

A rectangular coil of $20$ turns and area of cross-section $25c{m}^2$ has a resistance of $100\Omega$. If a magnetic field which is perpendicular to the plane of coil changes at a rate of $1000T/s$ , the current in the coil is

• A. $1A$
• B. $50A$
• C. $0.5A$
• D. $5A$

Answer 1

The correct option is C $0.5A$

$i=\frac{e}{R}=\frac{\frac{NAdB}{dt}}{R}=\frac{20\times \left(25\times {10}^{-4}\right)\times 1000}{100}=0.5A$