Chapter 2 Electrostatic Potential and Capacitance
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See all →- Two charges 5 x 10-8 C and – 3 x 10-8 C are located 16 cm apart. At what point(s) On the line there are two locations where potential becomes zero. For P, frac5 × 10⁻⁸x = frac3 × 10⁻⁸16-x 5( 16 - x) = 3x 80 - 5x = 3x 8x =... 1
- Two charges 2 μC and -2 μC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system (a) For the given system of the two charges, the equipotential surface will be a plane normal to the line AB joining the two charges and pas... 1
- The spherical conductor of radius 12 cm has a charge of 1.6 x 10-7 C distributed uniformly on its surface. R = 12 x 10⁻² m, Q = 1.6 x 10⁻⁷C (a) Zero (b) E = frac9 × 10⁹ × 1.6 × 10⁻⁷(12 × 10⁻²)² = frac9 × 10⁹ × 1.6 × 10⁻⁷12 × 12 × 10⁻⁴ = 10⁵ NC⁻¹ (... 1
- A parallel plate capacitor with air between the plates has a capacitance of 8 pF (lpF = 10-12F). C = 8pF, C = fracε₀ ~A~d C' = fracε_r ε₀ ~Ad/2 = 2ε_r ∴ C' = 2 x 6 x 8 x 10⁻¹² F = 96 pF 1
- In a parallel plate capacitor with air between the plates, each plate has an area of 6 x 10-3 m2 A = 6 x 10⁻³ m² d = 3 mm = 3 x 10⁻³m C = fracε₀ ~A~d = frac8.85 × 10⁻¹² × 6 × 10⁻³3 × 10⁻³ = 17.70 x 10⁻¹² = 17.7 pF Q = CV = 17.7 x 10⁻¹² x... 1
- A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor? C = 12 pF, V = 50V E = 1 / 2 CV² = 1 / 2 x 10⁻¹² x 50 x 50 = 150 x 10⁻¹⁰ = 1.5 x 10⁻⁸ J 1