A long straight wire carries a current i. A particle having a positive charge q and mass m, kept at a distance x 0 from the wire is projected towards it with speed v. Find the closest distance of approach of charged particle to the wire.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. Magnetic field due to long wire is
= – 
Let the velocity of the charged particle at any instant be
= (v x 
+ v y 
)
Magnetic force on the charge,
= q( 
+ 
) = – 
+ 
….. (1)
From eqn. (1), y-component of acceleration is
Now a y = 
= 
= 
i 
At the minimum separation, velocity of particle is –v 
.
or 
= 
or –v = 
ln 
Thus x min = x 0 e –2 π mv/ μ 0qi
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems