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PHYSICS DEPARTMENT  KFUPMOSB
Review: Chapter 26: Capacitance
Q1. An air filled parallelplate capacitor has a plate area of 100 cm2 and a plate separation of 1mm. What is the total energy stored in the capacitor when it is charged to a potential of 1000 V? (ANS: 4.43x105 J)
Q2. A 100 muF capacitor is charged to a potential difference of 50 V. The capacitor is then removed from the charging source and connected across a second initially uncharged capacitor. The final potential difference across each capacitor after they have each been connected is 35 V. What is the capacitance of the second capacitor? (ANS: 43 muF)
Q3. Consider the combination of capacitors shown in Fig What is the equivalent capacitance between points A and B? (ANS: 1 muF)
Q4. 5000 capacitors each of capacitance 5 muF are connected in parallel and charged with a 10kv supply. If the cost of electrical energy is 0.5 SR/ kWh, what does it cost to charge these capacitors? (ANS: 0.174 SR)
Q5. A parallel plate capacitor is made from two square plates of side length 10 cm and separated by a distance 1.5 cm. A sheet of dielectric material of dielectric constant ( = 8 and thickness 0.5 cm is inserted between the plates. Find the capacitance of the system? (ANS: 8.34 pF)
Q6. Two uncharged capacitors of capacitance 1 muF and 3 muF are connected in series. If a potential difference of 10V is applied across the series combination, find the energy stored in the 3 muF capacitor. (ANS: 9.38 x 106 J)
Q7. If the breakdown filed strength for dry air is 3 x 106 V/m, what is the maximum charge that can be stored in a parallel plate capacitor whose plates are each 40 cm by 50 cm?
(ANS:5.31 muc)
Q8. Capacitors C1 = 6 muF and C2 = 3 muF are charged as a series combination across a 100 V battery. The two capacitors are disconnected from the battery and from each other. They are then connected positive plate to positive plate and negative plate to negative plate. Calculate the resulting charge on the 6 muF capacitor. (ANS: 267 muC)
Q9. The parallel plates in a capacitor have an area of 0.2 m2, and are 0.01 m apart. The original potential difference between them is 3000 V, and it decreases to 1000 V when a sheet of dielectric is inserted between the plates. Find the capacitance after insertion of the dielectric. (ANS: 5.31 x 1010 F)
Q10. A capacitor is constructed from two square plates of side length L = 6.0 cm and separated by a distance d=2.00 mm (see fig. 542). One half of the space between the plates is filled with bakelite (kappa = 4.9) and the other half is filled with neoprene rubber (kappa = 6.7). Calculate the capacitance of the device. (ANS: 92 x 1012 F)
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