Question

Relation between current in conductor and time is shown in figure. Determine total charge flown through the conductor.

• A. $i_0{t}_0/2$
• B. $i_0{t}_0$
• C. $i_0{t}_0/4$
• D. $2i_0{t}_0$

Answer 1

The correct option is A $i_0{t}_0/2$

We know that charge $=i_{dt}$

$\int dq=\int idt$

So charge is area under i-t graph

Area $\frac{1}{2}{i}_0{t}_0$

Charge flown thrown conductor $\frac{i_0{t}_0}{2}$