Solutions to Problem set on Chapter 24

# Solutions to Problem set on Chapter 24 - Problems on...

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Problems on Chapter 24 1. A charge – Q is placed at one corner of a square of side L, and charges + Q are placed at each of the other corners. What is the potential at the center of the square? 2. A non- conducting sphere of radius R has uniform volume charge density ρ. Obtain an expression for the potential i. within the sphere, i.e., for r < R ii. outside the sphere, i.e., for r > R 3. Charge Q is uniformly distributed on a ring of radius R. i. Show that the potential at a point on the axis of the ring a distance z from the center of the ring is 𝑉𝑉 ( 𝑧𝑧 ) = 𝑄𝑄 4 𝜋𝜋𝜀𝜀 0 √𝑅𝑅 2 + 𝑧𝑧 2 ii. Hence, obtain an expression for the electric field at distance z from the center of the ring. 4. A small metal sphere, carrying a net charge of q 1 = - 2.80 μ C, is held in a stationary position by insulating supports. A second small metal sphere, with a net charge q 2 = - 7.80 μ C and mass 1.50 g, is projected toward q 1 When the two spheres are 0.800 m apart, q 2 is moving toward q 1 with speed 22.0 m/s. Assume that the two spheres can be treated as point charges and ignore gravitational forces.

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