6.0- mu F capacitor. What is the effective capacitance of this combination? (a)

Question

6.0- mu F capacitor. What is the effective capacitance of this combination? (a) How many 1.0- mu F capacitors would have to be connected in parallel to store 1 mC of charge with a potential difference of 10 V across each? (b) What would be the potential difference across the combination? (c) If these capacitors are connected in series and the potential difference across each is 10 V, find the charge on each and the potential difference across the combination. Section 19-6 Electrical Energy Storage A 3- mu F capacitor is charged to 100 V. (a) How much energy is stored in the capacitor? (b) How much additional energy is required to charge the capacitor from 100 to 200 V?

Explanation / Answer

(a) energy stored

= 1/2 CV2 = (1/2)*3*10-6 *1002 = 1.5*10-2 J = 15 mJ

(b) ebergy stored when charged to 200 V

= (1/2)(3*10-6)(200)2 = 6*10-2 J = 60 mJ

so it requires (60-15) = 45 mJ

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