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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 charge of 20 is deposited on the positive plate of an isolated...

A charge of 20μC20 \mu\text{C} is deposited on the positive plate of an isolated parallel-plate capacitor having a capacitance of 10μF10 \mu\text{F}. Determine the potential difference developed between the plates.

Options

  1. A2 V2 \text{ V}
  2. B1 V1 \text{ V}
  3. C4 V4 \text{ V}
  4. D0.5 V0.5 \text{ V}

Correct answer

B. 1 V1 \text{ V}

Step-by-step solution

Let the charge given to the first plate be Q1=20μCQ_1 = 20 \mu\text{C} and the charge on the second plate be Q2=0Q_2 = 0.

When charges Q1Q_1 and Q2Q_2 are given to the plates of an isolated capacitor, the charge appearing on the inner facing surfaces of the plates is q=Q1−Q22q = \dfrac{Q_1 - Q_2}{2}.

Substituting the given values:

q=20−02=10μCq = \dfrac{20 - 0}{2} = 10 \mu\text{C}

The potential difference developed between the plates depends only on the inner surface charges and is given by V=qCV = \dfrac{q}{C}.

V=10μC10μF=1 VV = \dfrac{10 \mu\text{C}}{10 \mu\text{F}} = 1 \text{ V}
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