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Exponential and Logarithmic Functions : Capacitance

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If a capacitor with a capacitance of 0.000005 farads is wired in a circuit with a total resistance of 5000 ohms (the standard unit of electrical resistance), how long must the capacitor be wired to a source voltage to reach 50% of its maximum charge?

(The Hint was: Begin by expressing q as 0.5Q)

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Solution Summary

Capacitance is investigated using an exponential function.

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C = 0.000005 farad
R = 5000 ohm

Because, charging of the capacitor is given by
q = Q*[1 - exp(-t/RC)]

and ...

Solution provided by:

Amrit Lal Ahuja, PhD (IP)

Education

BEng, Allahabad University, India
MSc , Pune University, India
PhD (IP), Pune University, India

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