You are given a box of 1000 capacitors. Each capacitor has a capacitance of 10 nF and canwithstand a maximum potential difference of 5.0 V each. You are given the task of designing anetwork of capacitors that can with stand a potential difference of 15 V, but with an equivalentcapacitance of 10 nF using only the capacitors provided. You may use as many of the capacitors(well, up to 1000..) as you need, but to save money you should use the fewest number that willmeet the requirements. Sketch your network in the space below. Indicate the points at which thisnetwork would attach to the potential difference.

Answered: You are given a box of 1000 capacitors.…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter26: Capacitance And Dielectrics

Section: Chapter Questions

Problem 26.12OQ: (i) Rank the following five capacitors from greatest to smallest capacitance, noting any cases of...

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You are given a box of 1000 capacitors. Each capacitor has a capacitance of 10 nF and can
withstand a maximum potential difference of 5.0 V each. You are given the task of designing a
network of capacitors that can with stand a potential difference of 15 V, but with an equivalent
capacitance of 10 nF using only the capacitors provided. You may use as many of the capacitors
(well, up to 1000..) as you need, but to save money you should use the fewest number that will
meet the requirements. Sketch your network in the space below. Indicate the points at which this
network would attach to the potential difference.

Expert Solution

Step 1

Given that:

$C a p a c i \tan c e o f e a c h c a p a c i t o r : C = 10 n F M a x i m u m p o t e n t i a l o n e c a n w i t h s \tan d, V = 5.0 V M a x i m u m v o l t a g e t h e r e q u i r e d n e t w o r k c a n w i t h s \tan d, V' = 15 V E q u i v a l e n t c a p a c i \tan c e, C_{e q} = 10 n F$

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