Separation between the plates of a parallel plate capacitor is 5 mm. This capacitor, having air as the dielectric medium between the plates, is charged to a potential difference 25 V using a battery. The battery is then disconnected and a dielectric slab of thickness 3 mm and dielectric constant K = 10 is placed between the plates, as shown. Potential difference between the plates after the dielectric slab has been introduced is:
Correct answer: C. 11.5 V
- A. 18.5 V
- B. 13.5 V
- C. 11.5 V
- D. 6.5 V
Explanation
When a dielectric slab of thickness 3 mm and dielectric constant K = 10 is inserted between the plates of a capacitor, the effective separation between the plates changes. The potential difference across the capacitor is given by the relation V = Q/C, where C is the capacitance. The introduction of the dielectric increases the capacitance, which is inversely proportional to the potential difference, thus reducing it. The correct answer is 11.5 V, as calculated by considering the series combination of the air gap and the dielectric slab.
Last updated
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.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
1/C_eq = 1/C_1 + 1/C_2 + 1/C_3 + ... + 1/C_n
1 N/C equals to:
1 volt x 1 ampere is equal to:
10 V potential difference is applied across the plate of the 1 µF capacitor. What is the energy stored in the capacitor?
12 J work is to be done against an existing electric field to take a charge of 0.01C from A to B. Find the potential difference between B and A: