Find the value of the capacitance that requires 0.5 Coulomb to charge to 25 Volts?

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ISRO (VSSC) Technician (Electrician) Sept 2016 Official Paper
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  1. 0.02 farad
  2. 0.002 farad
  3. 0.0002 farad
  4. 0.00002 farad

Answer (Detailed Solution Below)

Option 1 : 0.02 farad
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Detailed Solution

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Concept:

The charge stored by a capacitor with an applied voltage V is given by:

Q = C × V

C = Capacitance of the capacitor

V = Voltage applied across the capacitor

Q = Charge stored

Calculation:

Given Q = 0.5 C

V = 25 V

Putting on the respective values, we can write:

0.5 C = C × 25

\(C=\frac{0.5}{25}F\)

C = 0.02 F

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