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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Capacitors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Capacitors

A dielectric slab is introduced between the plates of an isolated...

A dielectric slab is introduced between the plates of an isolated charged capacitor. Which of the following quantities remains unchanged?

Options

  1. AThe electric field within the capacitor
  2. BThe stored energy in the capacitor
  3. CThe charge on the capacitor
  4. DThe potential difference across the plates

Correct answer

C. The charge on the capacitor

Step-by-step solution

For an isolated charged capacitor, the battery is disconnected. Thus, the charge on the capacitor plates has no path to escape or increase, so it remains constant.

When a dielectric slab of dielectric constant KK is introduced, the capacitance increases from CC to KCKC.

Since charge QQ is constant, the potential difference V=QCV = \dfrac{Q}{C} becomes V′=QKC=VKV' = \dfrac{Q}{KC} = \dfrac{V}{K}, which means it decreases.

The electric field E=VdE = \dfrac{V}{d} becomes E′=V′d=EKE' = \dfrac{V'}{d} = \dfrac{E}{K}, which means it decreases.

The stored energy U=Q22CU = \dfrac{Q^2}{2C} becomes U′=Q22KC=UKU' = \dfrac{Q^2}{2KC} = \dfrac{U}{K}, which means it decreases.

Therefore, only the charge on the capacitor remains unchanged.
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