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96-99. Electric Potential of Conducting Spheres

# 96-99. Electric Potential of Conducting Spheres - A...

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Electric Potential of Conducting Spheres (1) A conducting sphere of radius r 1 = 2 m is surrounded by a concentric conducting spherical shell of radii r 2 = 4 m and r 3 = 6 m. The graph shows the electric field E ( r ) . (a) Find the charges q 1 , q 2 , q 3 on the three conducting surfaces. (b) Find the values V 1 , V 2 , V 3 of the electric potential on the three conducting surfaces relative to a point at infinity. (c) Sketch the potential V ( r ) . E[V/m] -3 +5 2 4 6 r[m] tsl96 – p.1/4

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Electric Potential of Conducting Spheres (2) Consider a conducting sphere with radius r = 15 cm and electric potential V = 200 V relative to a point at infinity. (a) Find the charge Q and the surface charge density σ on the sphere. (b) Find the magnitude of the electric field E just outside the sphere. (c) What happens to the values of Q, V, σ, E when the radius of the sphere is doubled? 15cm 30cm tsl97 – p.2/4
Electric Potential of Conducting Spheres (3)

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Unformatted text preview: A spherical raindrop of 1mm diameter carries a charge of 30pC. (a) Find the electric potential of the drop relative to a point at infinity under the assumption that it is a conductor. (b) If two such drops of the same charge and diameter combine to form a single spherical drop, what is its electric potential? r r q q 1 V 1 1 V 1 1 1 V q 2 2 r 2 tsl98 – p.3/4 Electric Potential of Conducting Spheres (4) A positive charge is distributed over two conducting spheres 1 and 2 of unequal size and connected by a long thin wire. The system is at equilibrium. Which sphere (1 or 2). .. (a) carries more charge on its surface? (b) has the higher surface charge density? (c) is at a higher electric potential? (d) has the stronger electric field next to it? 1 2 tsl99 – p.4/4...
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96-99. Electric Potential of Conducting Spheres - A...

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