The charging of a capacitor through a resistance follows

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IPRC (ISRO) Technician B (Electronics) 2016 Official Paper (Held on 28 Aug 2016)
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  1. Exponential law
  2. Logarithmic law
  3. Linear law
  4. Square law

Answer (Detailed Solution Below)

Option 1 : Exponential law
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Detailed Solution

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Explanation:

When a battery is connected to a series resistor and capacitor, the initial current is high as the battery transports charge from one plate of the capacitor to the other.

The charging current exponentially approaches zero as the capacitor becomes charged up to the battery voltage.

The expression of charging current I, during process of charging is

\(i = \dfrac{V}{R}{e^{ - \frac{t}{{RC}}}}\)

The current and voltage of the capacitor during charging is shown below.

RRB JE EE Power Systems 1 38

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