1) Two rings of radius 6 cm are 16 cm apart and concentric with a common horizon

Question

1) Two rings of radius 6 cm are 16 cm apart and concentric with a common horizontal x-axis. What is the magnitude of the electric field midway between the rings if both rings carry a charge of +32 nC?

2) Breakdown field strength for air is roughly 3 ? 106 N/C. If the electric field is greater than this value, stray free electrons (due to ionization of air molecules by cosmic rays) will be accelerated to high enough energies to trigger a chain reaction.

(a) How much excess charge can you put on a metal sphere of 15 cm radius without causing breakdown in the neighboring air, which would discharge the sphere?
C
(b) How much excess charge can you put on a metal sphere of only 1 mm radius? These results hint at the reason why a highly charged piece of metal tends to spark at places where the radius of curvature is small, or at places where there are sharp points.
C

Explanation / Answer

E=kxQ/(x2+a2)3/2

here x is 8 , a=6 Q=32 for both the rings

field is equal and opposite

so net field will be zero

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