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Question

Physics Question on Electrostatics

For the given equation of charge Q=3t2+6t, where Q is in coulombs and t is time in seconds, the initial value of current is:

A

0 A

B

2 A

C

6 A

D

9 A

Answer

6 A

Explanation

Solution

 The current is the time derivative of charge:\text{ The current is the time derivative of charge:}
I=dQdt=6t+6I = \frac{dQ}{dt} = 6t + 6
At t=0, the initial value of current is:\text{At } t = 0, \text{ the initial value of current is:}
I(0)=6(0)+6=6AI(0) = 6(0) + 6 = 6 \, \text{A}
Thus, the initial current is 6 A.\text{Thus, the initial current is 6 A.}