A capacitor of 2mF is charged with a DC Voltage source of 100 V . There is a resistor of 1 kilo ohms in series with the capacitor. What will be the time taken by the capacitor so that the voltage across the capacitor is 70 V

t = 0.731s

Explanation:

In order to calculate the time that the capacitor takes to have a voltage of 70V, you use the following formula:

          (1)

V: final voltage across the capacitor = 70V

Vo: initial voltage across the capacitor = 100V

R: resistance of the resistor in the circuit = 1kΩ = 1*10^3Ω

C: capacitance of the capacitor = 2mF = 2*10^-3F

t: time

You use properties of logarithms to solve the equation (1) for t:

Next, you replace the values of the parameters:

The capacitor takes 0.731s to reache a voltage of 70V

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