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Two long, thin, parallel conductors are...

Two long, thin, parallel conductors are kept very close to each other , without touching . One carries a current I, and the other has charge ` lambda ` per unit length. An electron moving parallel to the conductors is undeflected. Let c be the velocity of light and v be the velocity of electron, then

A

`v = (lambdac^(2))/(I)`

B

`v = I/lambda`

C

`c= I/lambda`

D

the electron may be any distance from the conductor.

Text Solution

Verified by Experts

The correct Answer is:
A, D
At, P , electric field ,
` E = lamda/( 2 pi in_(0)x)` ( to the right ) .
and magnetic field , B ` (mu_(0)I)/(2 pi x)`
For no deflection , ` E = vB = or v= E/B `
` or v= lamda/(2 pi in_(0)) xx (2 pi x)/(mu 0 I) = ( lamda)/I 1/(in_(0) mu_(0)) = (lamdac^(2))/(I)`
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