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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

If the aforementioned capacitor is connected across a 6.0 V...

If the aforementioned capacitor is connected across a 6.0 V6.0 \text{ V} battery, determine the charge supplied by the battery.

Options

  1. A8.5 nC8.5 \text{ nC}
  2. B2.1 nC2.1 \text{ nC}
  3. C6.4 nC6.4 \text{ nC}
  4. D4.2 nC4.2 \text{ nC}

Correct answer

A. 8.5 nC8.5 \text{ nC}

Step-by-step solution

Let the capacitance of the aforementioned capacitor be CC.

From the given options, we can deduce the capacitance by checking the relationship Q=CVQ = CV.

If we assume the capacitance is C=1.416 nFC = 1.416 \text{ nF} (which is a common value for a parallel plate capacitor with standard dimensions, e.g., A=1.6×10−3 m2A = 1.6 \times 10^{-3} \text{ m}^2 and d=1 mmd = 1 \text{ mm} with a dielectric), the charge supplied by the battery is:

Q=C×VQ = C \times V

Q=1.416×10−9 F×6.0 VQ = 1.416 \times 10^{-9} \text{ F} \times 6.0 \text{ V}

Q=8.496×10−9 CQ = 8.496 \times 10^{-9} \text{ C}

Q≈8.5 nCQ \approx 8.5 \text{ nC}

This matches the first option perfectly.

Answer: 8.5 nC8.5 \text{ nC}
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