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Two infinitely long straight current car...

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

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)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

`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)`
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