Question

Current passing through a wire as function of time is given as I(t) = 0.02 t + 0.01 A. The charge that will flow through the wire from t = 1s to t = 2s is :

(1) 0.06 C

(2) 0.02 C

(3) 0.07 C

(4) 0.04 C

Answer 1

Correct option is : (4) 0.04 C

\(q = \int i dt\)

\(\int \limits _0 ^2 (0.02t + 0.01)dt\) 

\(q = \left[0.02 \frac{t^2}{2}+ 0.01 t\right] _1 ^2\)

= 0.01 (3) + 0.01 (1)

= 0.04 C