can someone explain how to solve a and c part i???? ple U 11. The long, straight

Question

can someone explain how to solve a and c part i????

ple U 11. The long, straight wire shown below moving to the left. A particle of mass m and positive charge q is initially moving to the wire with a speed vo when it is at point P as shown below is in the pai g, m With reference to the coordinate system, what is the direction of the magnetic force acting on the particle at point P? dosvnward a. b. Determine the magnitude of the magnetic force acting on the particle at point P in terms of the given quantities and fundamental constants c. An electric field is applied that causes the net force on the particle to be zero at point P i. With referenc e to the coordinate system, what is the direction of the electric field at point P that could accomplish this? vp

Explanation / Answer

given particle of charge q, mass m moving towards left with speed vo
current carrying conductor, infinite length, curent i flows to left
distacne between particle and wire = d

a. magnnetic field at the location of point P = into the paper ( from right hand rule)
force on the particle due to this magnetic field = downwards ( form fleming's left hand rule)

b. magnetic field at P = 2ki/d
force on particle =F = qvB = qvo*2ki/d

c. the electric field has to be pointing upwards to make the net downward force = 0
d. magnitude of electric field = 0
hence form force balance
qE = q*vo*2ki/d
E = 2ki*vo/d

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