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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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