Question

2.2) The current through a wire varies with time
as I = I, sin at + I, cos Bt.
Where, I = 10 A and a =pi/10 s^-1
B =pi/10^ s-1. Find the charge that flows
across a cross-section of the wire in first
10 s.​

Answer 1

answer ;

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

q=∫  

2

6

​  

(4+2t)dt=[4t+t  

2

]  

2

6

​  

=48C