Case study·Standard multi-step (3/5)·Calculator allowed

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

An isolated capacitor of capacitance 5.0μF5.0\,\mu\text{F} is charged to 100 V100\text{ V} and then disconnected. A dielectric slab of constant K=4K=4 is inserted fully between its plates.
Total: 5 marks

(a) Find the charge on the capacitor before insertion. (1 mark)

(b) Find the new capacitance and new potential difference. (2 marks)

(c) Find the initial and final stored energies. (2 marks)

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cbse-physics-12.u1.t1-5.case.005

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