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Fill in the blanks Four capacitors are connected as shown in the figure below (C

ID: 2304149 • Letter: F

Question

Fill in the blanks Four capacitors are connected as shown in the figure below (C 14.0 F) ? 4.00 11 F 22.0 uF 7.00 ?F (a) Find the equivalent capacitance between points a and b Round your answer to three significant figures. (b) If AVab - 18.5 V, calculate the charge on the the 22.0 pF capacitor. Round your answer to three significant figures. (c) If LV , -18.5 V, calculate the charge on the the 7.00 ? F capacitor Round your answer to three significant figures (d) If Vab - 18.5 V, calculate the charge on the the Round your answer to three significant figures 4.00 ?Fcapacitor. (e) If AVab - 18.5 V, calculate the charge on the the capacitor C. Round your answer to three significant figures

Explanation / Answer

here,

C = 14 uF

C and 4 uF are in series , their equivalent capacitance , C1 = C * 4 /( C + 4)

C1 = 14 * 4 /( 14 + 4)

C1 = 3.1 uF

a)

(C1 + 7 uF) and 22 uF are in series , let the equivalent capacitance be Ceq

Ceq = ( C1 + 7) * 22 /( C1 + 7 + 22)

Ceq = ( 3.1 + 7) * 22 /( 3.1 + 7 + 22)

Ceq = 6.92 uF

b)

V = 18.5 V

the charge across 22 uF , Q2 = V * Ceq

Q2 = 6.92 * 18.5 uC = 128 uC

c)

the potential across 7 uF , V3 = V - Q2 /22

V3 = 12.7 V

the charge across 7 uF , Q3 = V3 * 7 uC

Q3 = 88.8 uC

d)

the charge across 4 uF , Q4 = Q2 - Q3 = 39.2 uC

e)

the charge across C , Q = Q4 = 39.2 uC

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