What will be the effect on the capacitance of a capacitor if the area of each plate is doubled while the separation between the plates is halved?
Correct answer: C. Capacitance becomes four times
- A. Capacitance remains same
- B. Capacitance becomes double
- C. Capacitance becomes four times
- D. Capacitance reduces to half
Explanation
The capacitance of a capacitor is given by the formula:C = εA/dWhere,C is the capacitance ε is the permittivity of the medium between the plates A is the area of each plate d is the separation between the plates.If the area of each plate is doubled while the separation between the plates is halved, then the new values for A and d will be:C' = ε(2A)/(d/2)Simplifying the expression, we get:C' = 4εA/dC'= 4CComparing this with the original capacitance formula, we can see that the capacitance has increased by a factor of 4. Therefore, the correct option is (C) Capacitance becomes four times.
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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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