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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

A laboratory capacitor has plate area 2.0×10−2 m22.0\times10^{-2}\text{ m}^2. While it is charging, the electric field between the plates increases uniformly at 1.5×1011 V m−1s−11.5\times10^{11}\text{ V m}^{-1}\text{s}^{-1}. Assume fringing is negligible and take ε0=8.85×10−12 SI units\varepsilon_0=8.85\times10^{-12}\text{ SI units}.
Total: 5 marks

(a) Find the rate of change of electric flux. (2 marks)

(b) Find the displacement current. (2 marks)

(c) If the wire current is steady during this interval, what should its value be? (1 mark)

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cbse-physics-12.u5.t5-1.case.005

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