Question

Which of the following correctly identifies the initial direction of the force on the moving positively charged particle (i.e., current in the wire is directed to the left as indicated by the arrow). A. Down B. Up C. Into the page D. No force

Answer 1

Step-by-step explanation:

Given

Current is flowing towards right side

Considering right side i.e. +x to be positive and direction outside the paper be +k

suppose charge is below the wire and is moving towards right

`v=v_0\hat{i}`

magnetic field below the wire is outside the Paper using right hand thumb rule

`B=B_0\hat{k}`

`F=q(\vec{v}* \vec{B})`

`F=q(v_0\hat{i}* B_0\hat{k})`

`F=-qv_0B_0\hat{j}`

i.e. Force acts in Downward direction

i charge is moving towards left i.e.

`v=-v_0\hat{i}`

`F=q(-v_0\hat{i}* B_0\hat{k})`

`F=qv_0B_0\hat{j}` towards upward direction