I've recently started studying engineering maths after being away from formal education for some time! struggling my way through but I'm stumped here. Any help would be fantastic!
A series electrical circuit for a computer game which you are testing, features a capacitor (C) discharging via a 270 kΩ resistor (R). The capacitor is initially charged to a voltage of 15 V. The voltage across the capacitor (Vc) may be described by the following equation, where t represents time.
Vc = 15(e -t/RC)
The circuit produces an output based upon the time it takes for the voltage on the capacitor to discharge to a value of 2 V. The value of the capacitance is based upon the year of your birth, which is input at the start of the game. For example, if you were born in 1990, then C = 1 + 9 + 9 + 0 = 19 μF.
Determine how long it takes for the circuit to produce an output.