A long, straight wire lies on a horizontal table in the xy -plane and carries a
ID: 1265969 • Letter: A
Question
A long, straight wire lies on a horizontal table in the xy-plane and carries a current of 1.50 ?A in the positive x-direction along the x-axis. A proton is traveling in the negative x-direction at speed 2.60 ? 104 m/s a distance d above the wire (i.e. z = d).
(a) What is the direction of the magnetic field of the wire at the position of the proton?
---Select--- ?x +x ?y +y ?z +z direction
(b) What is the direction of the magnetic force acting on the proton?
---Select--- ?x +x ?y +y ?z +z direction
(c) Explain why the direction of the proton's motion doesn't change.
This answer has not been graded yet.
(d) Using Newton's second law, find a symbolic expression for d in terms of the acceleration of gravity g, the proton mass m, its speed v, charge q, and the current I. (Use any variable or symbol stated above along with the following as necessary: ?0 and ?. Do not substitute numerical values; use variables only.)
d =
(e) Find the numeric answer for the distance d using the results of part (d).
cm
Explanation / Answer
apply the formula for magnetic field B due to straight wire as B = uoi/2piR
where uo is 4pi e-7
i is current
R is distance
this direction of magnetic field is perpendicualr to wire
so here it is + z direction.
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b, magnetic force = iLB or qvB
here we need B which in turn depends on d ( not given)
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in a given magnetic field, direction of +ve charge is fixed
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