The quantity Q of charge in coulombs C that has passed through a point in a wire up to time t (measured in seconds) is given by . Find the current when .

Question

The quantity Q of charge in coulombs C that has passed through a point in a wire up to time t (measured in seconds) is given by  . Find the current when  .

Quizplus · Accepted Answer

The formula linking charge and current is:

I = dQ/dt

So to find the current at a specific time t, we need to take the derivative of Q with respect to t:

dQ/dt = (10 + 5t + 4t^2) / 4

Now we can substitute the value t = 7735 into the expression above to get the current at that time:

dQ/dt = (10 + 5(7735) + 4(7735)^2) / 4
= 7.732e8 A

But we're asked for the answer in scientific notation, so we convert this to:

Answer: B) 11eaa3e5_55ec_9e47_9f8f_adb876872d31_TB5971_11

The Quantity Q of Charge in Coulombs C That Has