Question Detail

PHY 102 Current Electricity Objective Question

Question

Which of the following is the differential equation describing the charge 'q' on a capacitor during charging in an RC circuit, as derived in the document?
Options
A E + (dq/dt)R + q(t)/C = 0
B E – (dq/dt)R – q(t)/C = 0
Correct Answer
C E = q(t) * R * C
D dq/dt = E / (R + C)
Correct Answer

Option B is the correct answer.

Detailed Explanation

On page 22, the derivation starts with E – iR – q/C = 0. Substituting i = dq/dt, we get E – (dq/dt)R – q(t)/C = 0.

Hint

Look at the derivation of the differential equation for charging on page 22. Remember Kirchhoff's voltage law for the circuit components.

Question Info