A parallel plate capacitor separated by an air gap is made of 0.8 m2 tin plates and 20 mm
A parallel plate capacitor separated by an air gap is made of 0.8 m2 tin plates and 20 mm apart. It is connected to 120 V battery. What is the charge on each plate? [Take εo = 8.85 x 10-12 Fm-1]
A parallel plate capacitor separated by an air gap is made of 0.8 m2 tin plates and 20 mm apart. It is connected to 120 V battery. What is the charge on each plate? [Take εo = 8.85 x 10-12 Fm-1]
For a parallel plate capacitor, C = ε₀A/d. Here d = 20 mm = 0.02 m.
C = (8.85 × 10⁻¹² × 0.8)/0.02 = 3.54 × 10⁻¹⁰ F.
Charge Q = CV = 3.54 × 10⁻¹⁰ × 120 = 4.25 × 10⁻⁸ C = 42.5 nC. The 3.54 nC option comes from forgetting to multiply by 120 V correctly or using the wrong power of ten.
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