Question

Give relation between the charges induced in a coil when it is rotated from teta=0 and teta=90 in a magnetic field of strength B having N turns and radius "r" .

Answer 1

Answer:

it is happen because of the 1st charge from atmosphere 2nd from water 3rd from soil

Answer 2

To find:

Charge induced in the coil when it is rotated from $\theta$ = 0° to 90° in a magnetic field of strength be with N turns and radius r.

Calculation:

Faraday's Law of Electromagnetic Induction states EMF induced in a coil is equal to the the rate of change of magnetic flux.

$\therefore \: V = \dfrac{d \phi}{dt}$

Let area of coil be A:

$= > \: V = \dfrac{NBA \{ \sin(90 \degree) - \sin(0 \degree) \} }{dt}$

$= > \: V = \dfrac{NBA \{ 1 - 0 \} }{dt}$

$= > \: V = \dfrac{NBA }{dt}$

Current in the coil be I and resistance be R;

$= > \: I = \dfrac{V}{R}$

$= > \: I = \dfrac{NBA }{dt \times R}$

Let charge be q ;

$\therefore \: q = I \times dt$

$= > \: q= \dfrac{NBA }{dt \times R} \times dt$

$= > \: q= \dfrac{NBA }{ R}$

So, final answer is:

$\boxed{ \bold{ \large{ \: q= \dfrac{NBA }{ R} }}}$