If a capacitor with a capacitance of 0.000005 farads is wired in a circuit with a total resistance of 5000 ohms (the standard unit of electrical resistance), how long must the capacitor be wired to a source voltage to reach 50% of its maximum charge?
(The Hint was: Begin by expressing q as 0.5Q)
C = 0.000005 farad
R = 5000 ohm
Because, charging of the capacitor is given by
q = Q*[1 - exp(-t/RC)]
Capacitance is investigated using an exponential function.