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# RC Time Constant of a Resistor-Capacitor Pair

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A 1 kOhm resistor is in series with a 1 muF capacitor.

a. What is the RC time constant of resistor-capacitor pair?

b. The 1 muF capacitor is charged from a 10 V battery via the 1 kOhm resistor. How long does it take for the voltage on the capacitor to reach 6.3 volts?

c. The 1 muF capacitor is charged from a 10 V battery via the 1 kOhm resistor. What is the voltage on the capacitor after one second?

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#### Solution Preview

Please refer to the attachment.

a) Time constant of R-C circuit = τ = RC = 103x10-6 = 10-3 sec or 1 m sec

b) Voltage V across the capacitor at instant t is given by: V = Vo(1 - e-t/τ) ..........(1) where Vo is the final voltage (which ...

#### Solution Summary

This solution provides step by step calculations for time constant and voltage formatted in an attached Word document. It helps calculate the RC time constant of a resistor-capacitor pair, how long it take for the voltage on the capacitor to reach a certain voltage, and the voltage after a certain amount of time.

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