-14 points OSUniPhys1 25.2.P039 My Notes Ask Your Teacher An 8.0 F capacitor and

Question

-14 points OSUniPhys1 25.2.P039 My Notes Ask Your Teacher An 8.0 F capacitor and a 5.0 F capacitor are connected in series across a 2.0 kV potential difference. The charged capacitors are then disconnected from the source and connected to each other with terminals of like sign together. Find the charge on each capacitor (in mC) and the voltage across each capacitor (in V). (Due to the nature of this problem, do not use rounded intermediate values in your Calculations-including answers submitted in WebAssign.) 8.0 uF capacitor charge voltage 5.0uF capacitor charge voltage mc mC Additional Materials eBook Upo 2/2 points 1 Previous Answers OSUniPhys1 25.3.P043 My Notes Ask Your T

Explanation / Answer

Cs = C1C2 / (C1+C2)

= 5 x 8 / (5+8)

= 40/13 micro farad

Q = CV = 40/13 x 2 mC

After disconnecting and parallel

Q1 + Q2 = 80/13

V1 = V2

Q1/C1 = Q2/C2

Q2 = Q1 C2/C1 = Q1 5/8  

5/8 Q1 - Q2 = 0 ... ii

solving gives

Q1 = 3.787 mC

Q2 = 2.367 mC

V1 = V2 = Q1/C1 = Q2/C2 = 3.787/8 = 0.4734 kV

= 473.4 V

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