What is the slope of the graph of the magnetic force versus current. show how to

Question

What is the slope of the graph of the magnetic force versus current. show how to calculate the magnetic field strength ,B from your graph. Give qualitative description by sketching Force versus current. write the general equation of magnetic force on a current carrying wire of length L in a magnetic field B such that the magnetic field and the current direction make an angle theta different than 0 degree or 180 degree .sketch the force versus angle theta graph. A current carrying wire is in a uniform magnetic field B. under which circumstances does the force generated by the B field on the current carrying wire become zero? A current carrying wire of length 0.5m is at the Equator. assuming that the magnetic field of earth has magnitude of 5 times 10-5T at the equator and is parallel to the surface of the earth and that the current in the wire flows toward east ,what current is required to allow the wire to be suspended ?Assume the mass of the wire is0.05gram. Show that the unit of magnetic force (N) is equal to Wb/m. where Wb ia weber, A is Ampere and m is meter

Explanation / Answer

1. use F = qVB sin theta

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2.
magnetic force of charged particle palced in uniorm magnteic field is given by

F = iLB sin theta

where i is current

L is length

B = magnetic field

theta is the angle betweeen L and B

graoh for F and theta will be a st line wirth +ve slope

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for F = 0 , sin theta = 0

so if B and L are palced parallel or anti parallel to each other

then F = 0

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4. appl;y grav force = magnetic force

mg = iLB

so

i = mg/LB

i = 0.05 e-3 * 9.8/(0.5 * 5 e-5)

i = 19.6 Amps

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as F = mg = iLB

But flux = AB

B = flux/A = Wb /m^2

so

Force F = mg = iL * Flux/area

so in terms on units

N = A *m * Wb/m^2

N = Wb A/m

A is amperes Wb is Webers m is meters

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