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Capacitors charge and discharge in __________ manner.

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Capacitors charge and discharge in __________ manner.

(a) Linear

(b) Constant

(c) Square

(d) Exponential

I have been asked this question in unit test.

Asked question is from Capacitance in chapter Capacitance and Capacitors of Basic Electrical Engineering

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The correct option is (d) Exponential

The explanation is: Capacitors charge and discharge in an exponential manner because of the relation: XC=1/(2πfC) and Q=CV ∴ Q=V/(2πf XC)

XC is complex which can be written in the form of exponent through euler formula.

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