C25p6) The plates of a spherical capacitor have radii 44 and...

c25p6) The plates of a spherical capacitor have radii 44 and 46 mm. Calculate the capacitance. hat must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance?

Transcript

00:01 Hello, in this question we have a spherical capacitor with inner radii 42 millimeter and outer radiar 44 .4 millimeter.

00:12 The question asks is to calculate the capacitance of the spherical capacitor.

00:17 So in case of a spherical capacitor, the capacitance of it is given as c is equal to 4 pi epsilon naught ab.

00:28 What is a b the radius of the two are spheres that is in this case a is 42 m m let us say and b is 44 .4 m m m divided by b minus a so we need to substitute the values to get the answer let's do that so we know that 4 per xcel and not can be written as 1 divided by 9 multiplied with 10 to the 1 multiplied with a b which is equal to 42 multiplied with 44 .4 we need to convert it into proper unit that is millimeters to meters so that is 10 to the power minus 6 divided by b minus a that is 44 .4 minus 42 multiplied with 10 to the power minus 3 on solving this we get the value to be equal to 0 .0 863 multiplied with 10 to the power minus 9 farence so we can can write this as 0 .0863 nano ferrets so the capacitance of this spherical capacitor is 0 .0863 nano ferrets now the next part of the question they said that if we had a parallel plate capacitor instead of a spherical capacitor what would be the area of the plates that i would be requiring such that the capacitors of this parallel plate capacitor should be the same as that of the spherical capacitor which is 0 .0863 nanofarred.

02:01 We know that the capacitance of a parallel plate capacitor is given as epsilon knot a divided by d where a is the area of cross -section of the plates which we are using.

02:12 D is the distance between the plates which they have asked you to assume is the gap or the distance between the two spheres...

Question

c25p6) The plates of a spherical capacitor have radii 44 and 46 mm. Calculate the capacitance. hat must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance?

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