A charge is moving in the x-y plane in a uniform magnetic field in the +z direct

Question

A charge is moving in the x-y plane in a uniform magnetic field in the +z direction. It's radius of orbit is 6 meters. If the magnetic field is decreased by a factor of 2.9, what is the new radius of orbit if nothing else is changed? Answer in meters.

A charge of -10 coulombs with a mass of 8 kg is originally moving at 7 m/s in the +y direction in a magnetic field of 0.46 Tesla directed in the +z direction. What is the radius, in meters, and the direction in which the charge moves around the circle? Indicate direction by including a negative sign for the clockwise direction and not including sign for counter-clockwise.

Explanation / Answer

the radius of the orbit is 6.0 m

the magnetic field is decreased by a factor of 2.9 so, B2 = (1/2.9)B1

we know B is inversely proportional to r

so, B1/B2 = r2/r1

or, 2.9 = r2/6.0

or, r2 = 17.4 m ................................................ans

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