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2. Electrostatic Potential and Capacitance
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Q10 of 38 Page 87

A 12pF capacitor is connected to a 50V battery. How much electrostatic energy is stored in the capacitor?

Given, C = 12 pF = 12 x 10-12 F

V = 50 V


The electrostatic energy stored in the capacitor,


W = (1/2) CV2 = (1/2) × 12 × 10-12 × (50)2 = 1.5 × 10-8 J


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8

In a parallel plate capacitor with air between the plates, each plate has an area of 6 × 10–3 m2 and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

9

Explain what would happen if in the capacitor given in Exercise 2.8, a 3 mm thick mica sheet (of dielectric constant = 6) were inserted between the plates,

(a) while the voltage supply remained connected.


(b) after the supply was disconnected.

11

A 600pF capacitor is charged by a 200V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. How much electrostatic energy is lost in the process?

12

A charge of 8 m C is located at the origin. Calculate the work done in taking a small charge of –2 × 10–9 C from a point P (0, 0, 3 cm) to a point Q (0, 4 cm, 0), via a point R (0, 6 cm, 9 cm).

Questions · 38
2. Electrostatic Potential and Capacitance
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