A straight wire 11 m long carries 70µC distributed uniformly over its length. It

Question

A straight wire 11 m long carries 70µC distributed uniformly over its length. It's line chargedensity is 6.3636 µC/m.

Make suitable approximations in both casesbelow.
a) Find the electric field strength 12cm from the wire axis, not near either end.
b) Find the electric field strength 390m from the wire.
A straight wire 11 m long carries 70µC distributed uniformly over its length. It's line chargedensity is 6.3636 µC/m.

Make suitable approximations in both casesbelow.
a) Find the electric field strength 12cm from the wire axis, not near either end.
b) Find the electric field strength 390m from the wire.

Explanation / Answer

Given   =6.3636C/m    a) at x=12cm       electric field E = (1/2o ) (/x)                            = (9*109 )/2 * (6.3636C/m/ 0.12m)                            = 238.635 *103 C b) at x= 390 m          electric field E = (1/2o ) (/x)                            = (9*109 )/2 * (6.3636C/m/ 390m)                            = 73.4C                            = (9*109 )/2 * (6.3636C/m/ 390m)                            = 73.4C

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