By applying gauss law to an charged conducting sphere the electric field outside it is found to be the voltage between the spheres can be found by integrating. The outer surface of the inner sphere will build a capacitance c2 with the inner surface of the outer sphere where thus the total capacitance of the capacitor will be.
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Capacitance of spherical capacitor when outer sphere is earthed. The outer sphere is earthed and the inner sphere is given a charge of 25 uc. The capacitance for spherical or cylindrical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. 4peabb a 3 when the outer the outer sphere is earthed it gives the same capacitance as in number 2.
Consider a sphere with radius r between the two spheres and concentric with them as gaussian surface. A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. 1 capacitance of sphere with radius r.
Capacitance of concentric spherical capacitor a when the outer sphere is earthed. The space between the concentric spheres is filled with a liquid of dielectric constant 32. Outer sphere being earthed.
4 when the inner sphere is earthed it gives the sum of capacitances in number 1 and 2. Consider a of two concentric spheres a and b of radii a and b metres respectively separated by a dielectric of relative metres respectively separated by a dielectric of relative permittivity r. The inner sphere is earthed so its potential is zero but some charge q resides on its outer surface a charge q resides on inner surface of outer sphere thus making a capacitor some charge q resides on outer surface of outer sphere and the second terminal of this capacitor is at infinity.
2 capacitance of 2 concentric spheres with inner radius a and outer radius b.
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