You are working on an electronics project requiring a variety of capacitors,but you have only a large supply of 100 nF capacitors available. Show that you can connect these capacitors to produce each of the following equivalent capacitances:

College Physics
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Chapter16: Electrical Energy And Capacitance
Section: Chapter Questions
Problem 30P: (a) When a 9.00-V battery is connected to the plates of a capacitor, it stores a charge of 27.0 C....
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You are working on an electronics project requiring a variety of capacitors,but you have only a large supply of 100 nF capacitors available. Show that you can connect these capacitors to produce each of the following equivalent capacitances:

a. 50 nF

b. 450 nF

c. 25 nF

d. 75 nF 

Expert Solution
Step 1

Equivalent capacitance is given by

1Ceq = 1C1 +1C2 +.......+1Cnwhile connected in serieCeq =C1 +C2 + ...... + Cnwhile connected parallely

a)

When two 100 nF capacitors connected in series

Ceq = (100)(100)100 + 100 = 50 nF

b)

when four 100 nF capacitors in parallel with two 100 nF in series

Ceq =4 × 100 + (100) (100)100 + 100 = 450 nF

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