Question

The magnetic flux linked with a coil,in webers,is given by the equations $\varphi =3t^2+4t+9$. Then the magnitude of induced e. m. f. at t = 2 second will be:

• A. 2 volt
• B. 4 volt
• C. 8 volt
• D. 16 volt

Answer 1

The correct option is D 16 volt

Given that

Total magnetic flux $\varphi =3t^2+4t+9$

We know that,

The induced e .m. f

$e=|\frac{-d\varphi }{dt}|$

$e=\frac{d(3t^2+4t+9)}{dt}$

$e=6t+4$

Now, the induced e.m.f at $t=2$ sec

$e=6\times 2+4$

$e=16volt$

Hence, the magnitude of induced e.m.f is $16volt$