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

JEE Main · 2025 · 04 Apr 2025 · Shift 1 · Current Electricity

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 = 1 s

t = 2 s

is :

Answer: (D)

The charge is the time integral of the current,

q = \int_{1}^{2} (0.02 t + 0.01) d t = [0.01 t^{2} + 0.01 t]_{1}^{2} .

Evaluating,

q = (0.04 + 0.02) - (0.01 + 0.01) = 0.04 C .

The charge flowing between

t = 1

s and

t = 2

s is

0.04

JEE Main · 2025 · 04 Apr 2025 · Shift 1 · Single correct option