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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 parallel-plate capacitor with a capacitance of 5 is connected to...

A parallel-plate capacitor with a capacitance of 5μF5 \mu\text{F} is connected to a battery having an emf of 6 V6 \text{ V}. The separation between the plates is 2 mm2 \text{ mm}. Calculate the electric field between the plates.

Options

  1. A1.5×103 V m−11.5 \times 10^3 \text{ V m}^{-1}
  2. B6×103 V m−16 \times 10^3 \text{ V m}^{-1}
  3. C3×103 V m−13 \times 10^3 \text{ V m}^{-1}
  4. D1.2×104 V m−11.2 \times 10^4 \text{ V m}^{-1}

Correct answer

C. 3×103 V m−13 \times 10^3 \text{ V m}^{-1}

Step-by-step solution

Given, potential difference across the plates, V=6 VV = 6 \text{ V}

Separation between the plates, d=2 mm=2×10−3 md = 2 \text{ mm} = 2 \times 10^{-3} \text{ m}

The electric field EE between the plates of a parallel-plate capacitor is given by the relation:

E=VdE = \dfrac{V}{d}

Substituting the given values:

E=62×10−3E = \dfrac{6}{2 \times 10^{-3}}

E=3×103 V m−1E = 3 \times 10^3 \text{ V m}^{-1}

The given value of capacitance is extra information and is not required for this calculation.
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