Question

the current in a conductor varies with time t s is equals to 2T + 3 square I is in ampere and t is and second electric charge flowing through a section of conducted during t is equals to 2 second 2 t is equals to 3 second is​

Answer 1

The current flowing through the conductor is 24 coulomb.

Explanation:

From question,

I = 2t + 3t²

dQ/dt = 2t + 3t²

The current from 2 seconds to 3 seconds is:

Q = ∫dQ/dt = $\int_{2}^{3}\left(2 t+3 t^{2}\right) d t$

Q = [2t²/2 + 3t³/3]³₂

Q = [t² + t³]³₂

On applying the limits, we get,

Q = (9 + 27) - (4 + 8)

Q = 36 - 12

∴ Q = 24 coulomb