Calculus and Above

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An air-filled capacitor with circular...

An air-filled capacitor with circular plates of radius r and plate separation d

has capacitance C1

A) If you want to make a second capacitor with the same capacitance C1

but with half the radius, what must the plate separation be?

a)4d

b)d/2

c)2d

d)d/42)If you want to make a third capacitor, having radius r/2

and the same plate separation, d as the first capacitor, what value of dielectric constant would you need between the plates?a)1/4

b)1/2

c)2

d)4

has capacitance C1

A) If you want to make a second capacitor with the same capacitance C1

but with half the radius, what must the plate separation be?

a)4d

b)d/2

c)2d

d)d/42)If you want to make a third capacitor, having radius r/2

and the same plate separation, d as the first capacitor, what value of dielectric constant would you need between the plates?a)1/4

b)1/2

c)2

d)4

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