We use the time constant to characterize transients in electric circuits. In physics, the half-life is often used to characterize the exponential decay of physical quantities such as radioactive substances. The half-life is the time required for the quantity to decay to half of its initial value. The time constant for the voltage on a capacitance discharging through a resistance is
\(\tau= RC\)
Find an expression for the half-life of the voltage in terms of R and C.