Question

for a capacitor in series with a resistor with no battery, what best describes the charge Q on the capacitor?

a.the charge decays exponentially

b. the charge grows exponentially

c/ the charge decays linearly

Answer 1

Option a is correct that is the charge on the capacitor decays exponentially as we have the relation of charge on capacitor with time as,

is the initial charge on capacitor,

is the time constant of circuit given be R*C

this relation is obtained by solving the equation obtained by applying Kirchoff's Voltage law as

Q/C = - dQ/dt * R.