Do at least 3 of the 4 pIO Problem 4 120 points] The circuit in the figure has 5

Question

Do at least 3 of the 4 pIO Problem 4 120 points] The circuit in the figure has 5 capacitors with C1pF, C3- 2pF, Cy 3pF What is the equivalent capacitance of the circuit? (Give your answer in pF) C2 a. 3 b. what is the when all capacitors are fully charged,thetotalenergy stredinthecircutis27x10 voltage supplied by the battery? [4 points) -1): 27416 ) 7x10. What is the charge on Ci and the potential difference across C1? (Give your answer in pC and Volts) [9 points c. (pv N SERIE S d. How much energy is stored in capacitor C,? (Give your answer in pl) 3 points

Explanation / Answer

c] Charge in the circuit = Q = CeqV = 8.33 pC

so, this charge will produce a voltage at C3 which will be:

V3 = Q/C3 = 2.7766 volts

Equivalent capacitance of C4 and C5 is C = (4+5)pF = 9 pF

therefore, voltage drop across this branch will be: V = (8.33p)/(9p) = 0.9255 volts

so, the voltage across the branch containing C1 and C2 will be: V' = 6.5 - 2.7766 - 0.9255 = 2.7978 volts

this will also be equal to potential difference across C1

therefore, the charge on C1 will be: Q1 = 2.7978 x 1p = 2.7978 pC.

d] Energy stored in C3 will be:

U3 = (1/2)C3V32 = (1/2)(3p)(2.7766)2 = 1.1565 x 10-11 J.

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