1) A wire with current I = 15 A flows at an angle of 60 degrees to the direction
ID: 1316210 • Letter: 1
Question
1) A wire with current I = 15 A flows at an angle of 60 degrees to the direction of a uniform magnetic field of 0.7 T. What is the magnitude of the force exerted on a 10 m length of wire? (N units)
2) An electron moves at a speed of 400 m/s perpendicular to the direction of a uniform magnetic field of 0.5 T. What is the radius of the electron's circular orbit in units of nanometers (1 m = 109 nm)?
3) What is the magnitude of the magnetic field (in nT) at a distance of 16 m from a long straight wire which carries a current of 16 A?
Explanation / Answer
1)F= BIL sin (theta)
=0.7*15*10*sin 60
=-32.0 N
2)Force on proton of mass m moving on trajectory of radius r equals the force due to magnetic field
=> mv^2/r = qvB
=1.66 x 10^-27*400/1.6 x 10^-19*0.5=r
r=664e-27/0.8e-19
=830e-8 m
=83e-9m
=83nm
3) B = ?? I / ( 2 ? r )
=4 ?
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