Physics, asked by kalaiselvi6sri, 1 year ago

the radius of a circular plates of a parallel plate condenser is r. air is there dielectric the distance between plate if it's capacitance is equal to that of an isolated sphere of radius

Answers

Answered by abhi178
10

your complete question -> The radius of circular plates of a parallel plate condenser is r.Air is their as a dielectric.The distance between the plates if its capacitance is equal to that of an isolated sphere of radius r' is

solution : we know, capacitance of parallel plates capacitor , C=\frac{\epsilon_0A}{d}

where A is area of plate and d is the seperation between plates.

given, radius of plate is r

so, area of plate , A = πr²

so, capacitor of parallel plate capacitor, C=\frac{\epsilon_0\pi r^2}{d}

again, capacitance of spherical capacitor , C=4\pi\epsilon_0R, where R is the radius of spherical capacitor.

given, radius of spherical capacitor is r'

so, C = 4\pi\epsilon_0r'

a/c to question,

capacitance of parallel plate = capacitance of sphere

or, \frac{\epsilon_0\pi r^2}{d}=4\pi\epsilon_0r'

so, d = r²/4r'

hence, seperation between parallel plate is r²/4r'

Answered by ilunas2017
2

Answer:

r^2/4r'

Explanation:

Capacitance of parallel plates= Capacitance of isolated sphere

=>€°A/d = 4 π€° r'

=>€°(πr^2) /d= 4π€°r'

=>d= r^2/4r'

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