A uniform magnetic field of magnitude 0.80 T in the negative z-direction is pres

Question

A uniform magnetic field of magnitude 0.80 T in the negative z-direction is present in a region of space, as shown in the figure below. A uniform electric field is also present. An alpha particle that is projected with an initial velocity of V0=91.x105m/s in the positive x-direction passes through the region without deflection. The charge of an alpha particle is 3.2x10-19C and its mass is 6.6x10-27kg.

a.What is the electric field vector in the region? Write it down using unit vector notation.

b.The elcectric is removed. With the same initial velocity the alpha particle moves along a circular path. What is the radius of the circle?

c.Does the particle move along that circular path clockwise or counter clockwise? Justify your answer.

Explanation / Answer

a] Electrostatic force is opposite to magnetic force

qE = - q v xB

E = - 9.1e5*0.8 j V/m

b] radius r = mv/qB = 6.6e-27*9.1e5/[3.2e-19*0.8] = 0.02346 m

c] counter clockwise, because initially it was moving in x direction , then magnetic force was in y direction.

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