2. At t = 0, a particle with a charge of-4.0 C and mass 1.5 is moving in the +x

Question

2. At t = 0, a particle with a charge of-4.0 C and mass 1.5 is moving in the +x direction with velocity 0.9 m/s through a magnetic field of 1.0 T pointed in the -z direction a) What direction is the magnetic force on the particle: b) What is the radius of the circle in which the particle travels? c) How long does it take the particle to make one full circle? d) If we average over a large period of time, we could say the particle travelling in a circle was a circular current. What is the magnitude of this current?

Explanation / Answer

(A) F = q (v x B)

q = - 4 C

v = 0.9 i^

B = - 1 x 10^-6 T k^

F = (-4)(0.9)(-1 x 10^-6) (i x k)

F = (3.6 x10^-6 N)(-j)

Direction = in the -y direction.

(B) F = m v^2 / r

3.6 x 10^-6 = (1.5 x 10^-6) (0.9^2) / r

r = 0.3375 m  

(C) T = 2 pi r / v = (2 x pi x 0.3375) / (0.90)

T = 2.36 s

(d) f = 1/T = 0.424 Hz  

I = q f = (4C)(0.424)

I = 1.70 A  

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