Question

A coil of 20 x 20 cm having 30 turns is making 30rps in a magnetic field of induction 1 tesla. The peak value of the induced emf is approximately

• A. a) 452 volt
• B. b) 226 volt
• C. c) 113 volt
• D. d) 339 volt

Answer 1

The correct option is B

b) 226 volt

Step1:Given Data:

Dimensions of coil= $20\times 20$

$\mathrm{n}=30\mathrm{rps}$

$\mathrm{B}=1\mathrm{Tesla}$

$\mathrm{N}=30\mathrm{turns}$

Step2: Calculation

Area= $20\times 20\times {10}^{-4}{m}^2$

=$4\times {10}^{-2}{m}^2$

Calculation:$e=NAB\omega$

= $NAB\left(2\pi v\right)$

= $30\times 4\times {10}^{-2}\times 1\times 2\times 3.14\times 30$

= $226V$

Hence, The peak value of the induced emf is approximately $226V$.