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Part B and Part D Two capacitors arc in a circuit, connected in parallel as show

ID: 1523447 • Letter: P

Question

Part B and Part D

Two capacitors arc in a circuit, connected in parallel as shown in the figure. The capacitances arc C_1 = 6.6 mu F and C_2 = 14.6 mu F. The battery carries a voltage of Delta V= 10.8 V. (a) Express the total capacitance C in terms of the two capacitances C_1 and C_2. (b) Calculate the numerical value of the total capacitance C in mu F. (c) Express the total charge on both of the capacitors Q in terms of capacitance C and the potential difference Delta V. (d) Calculate the numerical value of Q in mu C.

Explanation / Answer


a) given that

c1 = 6.6 uF and C2 = 14.6 uF

total capacitance is C = C1+C2

b) C = C1+C2 = 6.6+14.6 = 21.2 uF

C) charge Q = C*V

d) Q = C*V = 21.2*10^-6*10.8 = 228.96 uC