A long straight wire lies on a table oriented along the xrightarrowaxis. A conve

Question

A long straight wire lies on a table oriented along the xrightarrowaxis. A conventional current of 9 a runs through the wire in the -x direction. At a particular instant, a proton traveling at a speed of 3 x 107 m/s in the +x direction passes 2 mm above the center of the wire as shown in the diagram below. What is the direction of the magnetic field produced by the wire at the location of the proton? Calculate the magnitude of this magnetic field produced by the current-carrying wire at the location of the proton. What is the direction of the force acting on the proton due to this magnetic field? Calculate the magnitude of the force acting on the proton due to the magnetic field produced wire.

Explanation / Answer

accordingly from amperes RH rules, for a st wire, if current is along the thump them the remianing fingers curling around it wil indicate the direction of magnetic field

since here current is in + x direction , magnetic field on proton will be into the page

thus it must be along -z direction

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B   = uoi/2pIR

where uo is 4pi e -7

i is current

R is distance

so

B = 4*3.14 e-7 * 9/(2*3.14 * 2 e-3)

B = 9*10^-4 tesla -----------<<<<<<<<<<<<Answer

---------------------------------

magnetic force is given by Fleming left hand rule

as   here V is along +x axis, B is along -z axis

then Z will be upwards ( + y direction)

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