Question

A parallel plate capacitor has an electric field of 20 N/C and a plate area of 0.5 m^2. What is the total charge on the capacitor?

Answer 1

Answer on Question #65071-Physics - Field Theory

Question

A parallel plate capacitor has an electric field of $20\,\mathrm{N/C}$ and a plate area of $0.5\,\mathrm{m^2}$. What is the total charge on the capacitor?

Answer

The total charge on the capacitor

$$Q = C U,$$ $$U = E d,$$ $$C = \frac{\varepsilon_0 A}{d},$$ $$Q = \frac{\varepsilon_0 A}{d} E d = \varepsilon_0 A E = 8.85 \times 10^{-12} \times 0.5 \times 20 = 88.5 \times 10^{-12} \,\mathrm{C} = 88.5 \,\mathrm{p\,C}$$

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