# Suppose that electricity is draining from a capacitor at a rate that is proportional to the volt-age V across its terminals and that, if t is measured in seconds, dV /dt= -1/ 40 Solve this equation for V, using V0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?

Question

Suppose that electricity is draining from a capacitor at a rate that is proportional to the volt-age V across its terminals and that, if t is measured in seconds,

dV /dt= -1/ 40

Solve this equation for V, using V0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?