Answered: Three capacitors of capacitances C1 =…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter27: Capacitors And Batteries

Section: Chapter Questions

Problem 17PQ: A pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What...

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Question

Three capacitors of capacitances C₁ = 1.8 μF, C₂ = 6.55 μF, and C₃ = 4.66 μF are connected in parallel, and connected to a V = 4.95 V battery. How much total charge (Q_T) is stored on the combined capacitors?

Your answer should be in micro-coulombs (μC).

Expert Solution

Step 1

$A c a p a c i t o r i s a d e v i c e u s e d f o r s t o r i n g c h a r g e s .$

Charge in a capacitor is given by,

q = CV

When the capacitors are arranged in parallel, the resultant capacitance is given by,

$C_{n e t} = C_{1} + C_{2} + C_{3} + . . . .$

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