Am I doing this right for 13 and 14? Am I doing this right for 13 and 14? E) Use

Question

Am I doing this right for 13 and 14? Am I doing this right for 13 and 14? E) Use the following to answer questions 13-14: A 10.0-F capacitor is charged so that the potential difference between its plates is lov. A 5.0-uF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate What is the final potential difference across the plates of the capacitors when they are connected in parallel? 13. Version 1 Page 4

Explanation / Answer

charge on C1 , Q1 = C1*V1

charge on C2 , Q2 = C2*V2

charge flows from C1 to C2 until potential becomes same

13)

V1' = V2'

(Q1 - Q)/C1 = (Q2 + Q)/C2

Q1/C1 - Q/C1 = Q2/C2 + Q/C2

Q1/C1 - Q2/C2 = (Q*(C1 + C2) )/(C1*C2)

Q = (C1*C2*(V1-V2))/(C1+C2)

V1' = V2' = Q1'/C1 = (Q1 - Q)/C1 = Q1/C1 - Q/C1

V1' = V1 - (C2/(C1+C2))*(V1-V2)

V1' = C1*V1 + C2*V1 - C2*V1 + C2*V2/(C1+C2)

V1' = (C1*V1 + C2*V2)/(C1+C2)

V1' = ((10*10)+(5*5))*10^-6/((10+5)*10^-6)

V1'= 8.33 V

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14)

Q = (C1*C2*(V1-V2))/(C1+C2)

Q = (10*5*(10-5))*10^-12/((10+5)*10^-6)

Q = 16.7*10^-6 C

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