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.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Electrostatics
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.
Practise Electrostatics
831 free Electrostatics MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Electrostatics questions
For a parallel plate capacitor, the energy density is _.
An electron is held within an electric field. What happens when the electron is released?
Aluminum is _.
To determine the resistance of a voltmeter by discharging a capacitor through it, the instantaneous voltage is then given by the relation:
The inward and outward electric flux from a closed surface is respectively 8 x 10^3units and 4 x 10^3 units, then the net charge inside the closed surface is:
If a dielectric is placed between two plates of a capacitor, the net capacitance: