down of the air occurs? (b) what is the magnitude of the greatest charge that th

Question

down of the air occurs? (b) what is the magnitude of the greatest charge that the capacitor can store before break down? A capacitor of capacitance 3.0 mu F is charged by connecting to a 12-V battery. It is then removed from the battery. (a) What is the charge on the plates? (b) A dielectric of constant K = 4 is inserted between the plates. What is the potential difference between the plates? (c) What is the charge on the plates? (d) What is the capacitance? The capacitor of Exercise 26 is connected to the 12-V battery with the dielectric of constant K = 4 already inserted. What is the charge on the plates? Section 19-5 Combinations of Capacitors A 10.0- mu F capacitor is connected in parallel with a 20.0 mu F capacitor across a 6.0-V battery, (a) What is the effective capacitance of this combination? (b) Find the charge on each capacitor. (c) Find the potential difference across each capacitor. A 10.0 mu F capacitor is connected in series with a 20.0 mu F capacitor across a 6.0-V battery. (a) What is the effective capacitance of this combination? (b) Find the charge on each capacitor, (c) Find the potential difference across each capacitor.

Explanation / Answer

(a) assume the effective capacitor is C

1/C = 1/C1 + 1/C2 = 1/10 + 1/20

C = 20/3 = 6.67 F

(b) Q = CV = 6.67 * 6 = 40 C

Q1 = Q2 = Q

charge on each capacitor is 40 C

(c) potential difference across 10 F is V1 = Q1/C1 = 40 / 10 = 4 V

potential difference across 20 F is V2 = Q2/C2 = 40 /20 = 2V

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