Question

A service station charges a battery using a current of 67-A for 5.0 h . How much charge passes through the battery ? ​

Answer 1

Answer:

1.2 × 10⁵ C .

Explanation:

I = 6.7 A

T = 5 Hrs.

= 5 × 60× 60

= 5 ×3600

= 18000s

Q = ?

Q = I × t

= 6.7 ×18000

= 1.2 ×10⁵ C .

Answer 2

Answer:

3.7mC charge passes through the battery when a current of 67A is flown through the battery for 5 hours.

Explanation:

Current often is referred as the charge passed per unit cross section of material per unit time.

In its differential state it can be stated as,

$I=\frac{dq}{dt} \\dq=Idt$

Integrating the sides,

$I=qT$

Charge flown=q=I/T

Given data,

I=67 A

T=5hours=5*60*60=18000s

q=67/18000=0.0037C

=3.7mC

Hence, 3.7mC charge flows through the battery in the given problem.