ElectroDynamics

1. Two charged rings with radius R are the distance a. The works needed
bring charge 1] from infinity to the centers of each ring are equal 10 W t and W
MPW‘WCL‘I Determine the charges Q] and qz of the two rings.
a x
2 find the Capacnance per unit length of two coaxial metal cylindrical tubes of radn
an
3.‘lnfinite grounded conductive plane has a hemispherical bump of radius a. T he ccntc
01 the sphere hes on theplane. The charge q is located above the plane on the symmetr)
axrs of? the system. at distance b from the plane (b > a). Using the method of images.
determine the potential in the region above the conductor. 5
4. Two semi-infinite grounded conductive planes meet at right angles. hi the region
between the conductors. there are the plane at the angle 6=45° having the surface charge
density 0. Using the method of images, find the field distribution in this region.

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