A parabolic wire as shown in the figure is located in x-y plane and carries a current l=10 amp. A unifrom magnetic field of intensity `2sqrt(2T),` making an angle of `45^(@)` with x-axis exists throughout the plane. If the coordinates of end point 'P' of wire are `(2m, 1.5 m)` then the total force acting on the wire is:

Answer

5

Explanation

`a_(C)=(gsintheta)/(1+I/(mR^(2)))=(gsintheta)/(1+1/2)=2/3gsintheta`
`a_(P)=(gsintheta)/(1+1/(mR^(2)))=(gsintheta)/2`
`a_(rel)=a_(C)-a_(P)=(gsintheta)/g=(10xx1/2)/6=5/6`
`s_(rel)=1/2xx5/6xx(2sqrt3)^(2)=5m`