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200 and C2 200 the system of capaciters shown in the figure below, find the fell

ID: 1598594 • Letter: 2

Question

200 and C2 200 the system of capaciters shown in the figure below, find the fellemin9 (Les 200 F of the system (b) the charge on each capacitor murresponseda ers significantly from the correct answer. Rework your soutien frem the beginning and check each step carefully. Ac your response differs gnificantly frem the correct answer. Rework Your solution from the beginning and check each step carefuly. Po on the 6.00 capacitor driers sig tartly from the correct answer. Rework your solution from the beginning and check each step carefuly c on the 200 capacitor Yo" "spon d' inincantly correct answer Rework your solution from the beginning and check each step carefully. Pc (c) the potential difference across each capacitor across the 600 capacitor

Explanation / Answer

here,

C1 = 3 uF

C2 = 9 uF

V = 90 V

a)

the equivalent capacitance is 3.64 uF

b)

the charge across C1 and 6 uF , Q1 = V * ( C1 * 6 /( C1 + 6))

Q1 = 90 * ( 3 * 6 /( 3 + 6))

Q1 = 180 uC = 1.8 * 10^-4 C

the charge across C2 and 2 uF , Q2 = V * ( C2 * 2 /( C2 + 2))

Q2 = 90 * ( 2 * 9 /( 2 + 9))

Q2 = 147 uC = 1.47 * 10^-4 C

c)

the potential difference across C1 , V1 = Q1/C1 = 60 V

the potential difference across C2 , V2 = Q2/C2 = 16.3 V

the potential difference across 6 uF , V3 = V - V1 = 30 V

the potential difference across 2 uF , V4 = V - V2 = 73.7 V