Question

8. If the current in a wire varies according to the equation,
I = 15 sin 3771.
where I is in amperes, 1 is in second and (3771) in radians, then
calculate how much charge has passed a cross-section of the wire in the
interval t = 0 and 1 = 1/120 sec ?
Ans. 0-079 coulomb,​

Answer 1

Given:

I=4+2t

Let dq be the charge which passes in a small interval of time dt. Then

dq=Idt

or dq=(4+2t)dt

$On \: integrating, \: we \: get</p><p>q=∫ </p><p>2</p><p>6</p><p> </p><p> (4+2t)dt=[4t+t </p><p>2</p><p> ] </p><p>2</p><p>6</p><p> </p><p> =48C</p><p>$