Question

Find increase in tension in the wire electrostatic

Answer 1

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In the first, the approximate formula for the capacitance of a ring is:

C=πRln(8Rr)(CGS−system)C=πRln(8Rr)(CGS−system)

where R is a radius of the ring and r is a radius of the wire. (R>>rR>>r)

Let qq be the total charge(distributed uniformly) of the ring. Then the electrostatic energy of the ring:

Wq=q22CWq=q22C

Now, the radial force (due to the electrostatic repulsions), applied to the ring, can be obtained from a simple differentiation:

FR=−dWqdRFR=−dWqdR

Thus

FR=q22πln(8Rr)R2FR=q22πln(8Rr)R2

The tension TT in the wire:

T=FR2π=(

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