hello, need some help on #47, i know the first part but dont know how to solve p

Question

hello, need some help on #47, i know the first part but dont know how to solve part b and c,thanks

capaci- Paci 52. Consider a plan strips of alumin coated paper. wide. The foi F. largest to the mall. pens A parallel-plate capacitor has capacitance 3.00 (a) How much energy is stored in the capacitor if it is connected to a 6.00-V battery? (b) If the battery is disconnected and the distance between the charged plates dou tery is subsequently reattached to the capacitor, but the plate separation remains as in part (b). How much 0.025 0 mm What lengt 9.50 x 10 is formed, re energy is stored? (Answer each part in microjoules.) foil-pape 48. A certain storm cloud has a potential difference of 1.00 × 108 V relative to a tree. If, during a light- ning storm, 50.0 C of charge is transferred through into a c ure 16. both s

Explanation / Answer

(a) energy of capacitor is given by E = 0.5*CV²

C= 3x10-6 F, V =6V

so , energy = 0.5 *3x10-6 F *6V

=5.4x10-5 J= 54 microjoule

2) charge on each plate initially is Q=CV = 3x10-6 * 6 = 18 x10-6 C

now when the plates are separated , the charge remain same,but capacitance decrease by half

since C = (epsilono*A)/d

so , new capacitanceC = 1.5 x10-6 F

now , energy stored in new capacitor will be 0.5 Q2/C

=0.5 * (18 x10-6 C)2 / (1.5 x10-6 F)

energy stored =1.08x10-4 J = 108 microjoule

c) Required Energy = 0.5*1.5 x10-6 F *6V² =2.7 x10-5 J = 27 microjoule

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