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A parallel plate capacitor separated by an air gap is made of \(0.8m^2\) tin plates and...

Physics
JAMB 2023

A parallel plate capacitor separated by an air gap is made of \(0.8m^2\) tin plates and 20 mm apart. It is connected to 120 V battery. What is the charge on each plate?

Take \(ε_o\) = \(8.85×10^-12 Fm^-1\)

  • A. 3.54nC
  • B. 42.5nC
  • C. 35.4nC
  • D. 4.25nC
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Correct Answer: Option B
Explanation

A= \(0.8m^2\)    d= 20mm =\(\frac{20}{1000}\) = 0.02m

v =120v;  \(ε_oA\)= \(8.85 × 10^-12 fm^-1\)

C = \(\frac{ε_oA}{d}\)

C =\(\frac{8.85 × 10^-12×0.8}{0.02}\)

C= \(3.54 × 10^-10 F\)

Q= CV

⇒  \(3.54 × 10^-10\) × 120 = \(4.25×10^-8c\)

     Q=\(42.5 × 10^-9c\)  = 42.5nC

      

There is an explanation video available below.


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