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  • The radius of a coil decreases steadily at the rate of . A constant and uniform magnetic field of

The radius of a coil decreases steadily at the rate of 10^{-2} m/s. A constant and uniform magnetic field of induction 10^{-3}Wb/m2 acts perpendicular to the plane of the coil. The radius of the coil when the induced emf in the coil is 2 mV, is
 

Option: 1

\frac{10}{\pi}m


Option: 2

\frac{100}{\pi}m

 


Option: 3

\frac{50}{\pi}m


Option: 4

\frac{200}{\pi}m


Answers (1)

best_answer

Answer (2)

\phi =BA

\phi =B\pi r^{2}

\varepsilon =\frac{-d\phi }{dt}

\varepsilon =B\pi 2r\frac{dr}{dt}

2 \times 10^{-3}=10^{-3}\times \pi \times 2 \times r \times 10^{-2}

r=\frac{100}{\pi }m

Posted by

Shailly goel

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