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 discharging in an RC circuit?
Options
A E – (dq/dt)R – q(t)/C = 0
B (dq/dt)R + q(t)/C = 0
Correct Answer
C dq/dt = q(t) / (R*C)
D iR - q/C = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

On page 30, the document shows the relationship iR + q/C = 0 for discharging. Substituting i = dq/dt, the differential equation becomes (dq/dt)R + q(t)/C = 0.

Hint

Check the 'Charging a Capacitor' section, specifically page 30, for the derivation of the differential equation for discharging (note the section title may be a slight misnomer given the content on discharging).

Question Info