physic NUMERICAL chap 9 | chapter 9 numerical Physic new book physics

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Chapter 9
Numerical
1. The capacitance of air-filled parallel-plate capacitor is 1.3 pF. If the separation of the plates is doubled and wax is inserted between them. The new capacitance is 2.6 pF. Find the dielectric constant of the wax. (Ans. 4.0)
2. Three capacitors are connected through a potential difference of 100 volts as shown in figure. Find the charges and potential difference across each capacitor. (Ans. 160 C, 60 C, 100 C, V1= 80 V, V2 =20 V)
3.
4. Capacitor is charged through a large non-reactive resistance by a battery of constant voltage V. For this arrangement, if the capacitor has a capacitance of 10 F and the resistance is 1 M, calculate the time taken for the capacitor to receive 90% of its final charge. (Ans. 23s)
5. What capacitance is required to store energy of 10 kWh at a potential difference of 1000 V? (Ans. 72 F)
6. A 2.0 F capacitor and a 4.0 F capacitor are connected in parallel across a 300 V potential difference. Calculate the total energy stored in the capacitors. (Ans. 0.27J)
7. A 12.0-V battery is connected to a capacitor, resulting in 54.0 C of charge stored on the 100 V capacitor. How much energy is stored in the capacitor? (Ans. 3.24 x 10-4j)

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