What total energy is stored in the capacitors in the figure below C1-0.123 C2-44

Question

What total energy is stored in the capacitors in the figure below C1-0.123 C2-44.7 F) f 1.80 10 4 is stored in the 2.50 F capacitor? Enter your answer to at least three significant figures.) what is the potential difference across the entire combination? what is the potential difference across the 2.50 F capacitor compared to the potential difference across the combination? what is the potential difference across the series combination compared to the potential difference across the 2.50 F capacitor 2.50 uF C2

Explanation / Answer

C1 and C2 are in series and their combination is given as

Cs = C1 C2/(C1 + C2)

Cs = (0.123) (44.7)/(0.123 + 44.7) = 0.123 uF

energy stored in 2.50 uf is given as

E = (0.5) (2.50 x 10-6) V2 where V = potential diference acros 2.50 uF capacitor

1.80 x 10-4 = (0.5) (2.50 x 10-6) V2

V = 12 Volts

through the combination of capacitors in series , the energy stored is givenas

U = (0.5) Cs V2

U = (0.5) (0.123 x 10-6) (12)2

U = 8.86 x 10-6 J

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