Two infinite long straight current carrying wires are placed parallel to y-axis in x-y plane. Each wire carries current I in opposite direction as shown. A charged particle of charge `+q` and mass `m` is projected from position P `(0,0,a)` with initial velocity `vecv=vechatj`. Then

Options

A. The magnitude of initial acceleration of particle `(mu_(0)IqV)/(2piam)`
B. The direction of initial acceleration of the particle is parallel to positive `x` -axis
C. The direction of initial acceleration of particle is parallel to positive y-axis
D. The radius of curvature of path of the particle just after it is projected is `(2pimaV)/(mu_(0)Iq)`

Answer

A, B, D

Explanation

`B_("net")=2Bcosthetahatk`
`=2(mu_(0)I)/(2pisqrt(2)a)xx(1)/(sqrt(2))hatk=(mu_(0)I)/(2pia)hatk`
`vecF=qvecVxxvecB=q(vhatj)((mu_(0)I)/(2pia)hatk)`
`=(mu_(0)IqV)/(2pia)hati`
`veca=(vecF)/(m)`
`ROC=(V^(2))/(a)=(2piamV^(2))/(mu_(0)IqV)`
`=(2piamV)/(mu_(0)Iq)`