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    RC Time Constant of a Resistor-Capacitor Pair

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    Please helps answer the following questions.

    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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