Solveeit Logo

Question

Question: करंट the charge flowing through the conductor various as q is equal to 3 t square minus 2 t find the...

करंट the charge flowing through the conductor various as q is equal to 3 t square minus 2 t find the current at the instant t is equal to 1 second

Answer

4 A

Explanation

Solution

Given the charge q(t)=3t22tq(t) = 3t^2 - 2t.
The current ii is the rate of change of charge with respect to time:

i=dqdt=ddt(3t22t)=6t2.i = \frac{dq}{dt} = \frac{d}{dt}(3t^2 - 2t) = 6t - 2.

At t=1t = 1 second,

i(1)=6(1)2=4A.i(1) = 6(1) - 2 = 4 \, \text{A}.