Final answer:
The time constant (T) of an RC circuit is given by the equation T = RC. To find the time (t2) it would take for the charge of the capacitor to reach 99.99% of its maximum value, we can use the formula t2 = 5T. Using the given values of r=12.0Ω and c=500μF, the calculated value of t2 is 30ms.
Step-by-step explanation:
The time constant (T) of an RC circuit is given by the equation T = RC, where R is the resistance and C is the capacitance. In this case, the resistance (r) is given as 12.0Ω and the capacitance (c) is given as 500μF. To find the time (t2) it would take for the charge of the capacitor to reach 99.99% of its maximum value, we can use the formula t2 = 5T.
First, we need to calculate the time constant T using the given values for r and c:
T = RC = (12.0Ω)(500μF) = 6.0ms
Then, we can calculate t2:
t2 = 5T = 5(6.0ms) = 30ms