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ID: 1429284 • Letter: S

Question

Show step by step solution, no shortcuts.!!! SHOW ALL STEP BY STEP WORK AND EXPLANATION!!!!!!!!! STEP BY STEP

1. A 0.50-F and a 1.4-F capacitor (C1 and C2, respectively) are connected in series to a 17-V battery.

PART A: Calculate the potential difference across each capacitor.

PART B: Calculate the charge on each capasitor.

PARTC: Calculate the potential difference across each capacitor assuming the two capacitors are in parallel.

PART D: Calculate the charge on each capasitor assuming the two capacitors are in parallel.

Explanation / Answer

A&B. C1 = 0.50 uf

C2 = 1.4 uf

In series Ceq = C1*C2/(C1 + C2) = 0.5*1.4/(1.4+0.5) = 0.7/1.9 = 0.368 uf

emf = 17 V

Current is same in series connection.

Q1 = Q2 = Qeq = Ceq*V = 0.368*10^-6*17 = 6.26*10^-6 C

V1 = Q1/C1 = 6.26*10^-6/(0.5*10^-6) = 12.52 V

V2 = Q2/C2 = 6.26*10^-6/(1.4*10^-6) = 4.47 V

C&D.

Ceq = C1 + C2 = 1.4 + 0.5 = 1.9 uf

potential difference is equal in parallel connection

V1 = V2 = 17 V

Q1 = C1*V1 = 17*0.5*10^-6 = 8.5*10^-6 C

Q2 - C2*V2 = 17*1.4*10^-6 = 23.8*10^-6 C

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