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Charge vs Potential in Spherical Conductor

two metal sph...

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two metal spheres of radii a and b are connected by a thin wire. their seperation is very large compared to their dimensions the capaci†an ce of this system i

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Q. Two metal spheres of radii

a

b

are connected by a thin wire. Their separation is very large compared to their dimensions. The capacitance of this system is

Q. Two metal spheres (radii

r_{1}, r_{2}

r_{1} < r_{2}

) are very far apart but are connected by a thin wire. If their combined charge is Q, then what is their common potential?

Q. Two spheres have radii a and b and their centres are at a distance d apart. Show that the capacitance of this system is;

C = \frac{4 π ε_{o}}{\frac{1}{a} + \frac{1}{b} \pm \frac{2}{d}}

provided that d is large compared with a and b.

Q. Two spheres have radii a and b and their centres are at a distance d apart. The capacitance of this system is;

C = \frac{4 π ε_{o}}{\frac{1}{a} + \frac{1}{b} \pm \frac{2}{d}}

provided that d is large compared with

a

b

.

Show that as

d

approaches infinity the above result reduces to that of two isolated spheres in series.

Q. Two spheres of radii

3

5

cm are charged to potentials

3000

4500

V respectively. They are then connected by a thin metallic wires. The loss of electric energy in this process is?

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Charge vs Potential in Spherical Conductor

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