An electron travels with velocity m/s. It enters a region in which there is a un

Question

An electron travels with velocity m/s. It enters a region in which there is a uniform magnetic field of T. What is the magnetic force on the electron? F vector_B = N Despite the magnetic force, the electron continues to travel in a straight line at constant speed. You conclude that there must be another force acting on the electron. Since you know there is also an electric field in this region, you decide that the other force must be an electric force. What is this electric force? F vector_E = N What is the electric field in this region that is responsible for the electric force? E vector = N/C

Explanation / Answer

Given q = 1.6* 10^-19 C

v = 2 * 10^5 i

B = 0.9 j            [ in vector form]

the magnetic force is

Fb = q * ( v x B)

Fb = 1.6* 10^-19 * (2 * 10^5 * 0.9)

Fb = 2.88 * 10^-14 N         [ in the direction of k(z-axis]

2)

despite of magnetic field the electron moves with a constant speed then

magnetic force is balanced by electric force

Fe = Fb = 2.88 * 10^-14 N

the corresponding electric field is

E = Fe / q

E = 2.88 * 10^-14 / 1.6* 10^-19

E = 1.8 * 10^5 N/C

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