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ome × .ta Masteringphysic, ×.24/7 × 53%.) https //session.masteringphysics.com/myct/itemvie. ! CH1BH Capacitors in Paralel Capacitors in Parallel Learning Goal: To understand how to calculiate capacitance, voltage, and charge for a parailel combination of capacitors Frequently, several capactors are con eetod together to trma colectio of capacions we may be ite est d ndemming te verse caoactreno uch i olector. The simplest configuratin 10 analyze noves capacitors connected in sonet or r' paralel More oompicated steps can ·though not-myn b. treated by combining the rules for these two cases. Consiser the example of a paralel combinaion of capacitors: Three capaotors ave connected to each oher and to a battery as shown in the Sgure. The individual capacitances are C,2C, and 3C. and the battery's voiltage is V 2C sc Part A "the potential of platelisV,then, requieriun, nhat are te potentials of plates 3 and 6? Assume at the regative termina·ofthe batery is at zero potential Hints O V and V O V and Submit My Answers Give Up If the charge of the first capacitor (the one with capacitance C) is Q, then what are the charges of the seoond and third capactors? ·Hints Part B O 20 and 30 and Q O Q and Q O 0 and 0 My Answers Give Up SubmitExplanation / Answer
A)
Plates 1, 3 and 5 are at the same potential ie 1V and plates 2, 4, 6 are at the same potential, ie at 0 V.
So the answer is V and 0
B)
The potential difference between all the capacitors are same as V volts
Using the relation, Q = CV,
Charge on the second capacitor,
Q2 = 2C x V = 2 CV
= 2Q
Charge on the thid capacitor is
Q3 = 3C x V = 3 CV
= 3Q
So the answer is 2Q and 3Q.
C)
Total charge, Qtot = Q + 2Q + 3Q
= 6Q
D)
Ceq x V = Qtot
Ceq = Qtot / V
Substituting Qtot = 6Q and V = Q/C,
Ceq = 6Q / (Q/C)
= 6C
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