A capacitor has 10 V initially across and it is instantaneously connected to a resistor. What is the voltage across the capacitor after one time constant?

3.69 V

Explanation:

By connecting across the resistor, the capacitor starts discharging.

The voltage across the capacitor when discharging is given by

V is the voltage across it at time t,

is the initial voltage when fully charged,

T is the time constant

After one time constant, t = T. Then

From the question,

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explanation: