Three long straight wires A , B and C are carrying currents as shown in figure. Then the resultant force on B is directed

Options

A. perpendicular to the plane of paper and outward
B. perpendicular to the plane of paper and inward
C. towards A
D. towards C

Answer

D

Explanation

The wire B experience a force of attraction from both Wires, A and C as the current in all the wires is in same direction.
`therefore`    `F_(AB)=(mu_(0)2xx1xx2)/(4pid)=(mu_(0)4)/(4pid)` 
`F_(CB)=(mu_(0)2xx2xx3)/(4pid)=(mu_(0)12)/(4pid)`
As `F_(cB)>F_(AB)`, therefore the resultant force on Bis directed towards C