2 What electric field (vector!!) needs to be applied to problem 14-1 if the elec

Question

2 What electric field (vector!!) needs to be applied to problem 14-1 if the electron is to travel undeflected through the magnetic field? Give answer as magnitude and direction relative to E, W N, S, Up or Down.

Below figure shows the directions of the electron and direction of the uniform magnetic field. B = 0.48 T electron Here, the electron is projected vertically upwards or along the y axis and the uniform magnetic field is in the horizontal direc The electron moves a circle in the x-yplane. Then the centripetal force acting on the electron is equal to the magnetic force acting on the electron. FB-Fc Here, F is the magnetic force acting on the electron and Fc is the centripetal force acting on the electron The magnetic force acting on the electron is, Here, q is the charge, v is the speed of the electron, and B is the strength of the magnetic field The centripetal force acting on the electron is,

Explanation / Answer

magnetic force = QVB {+ Z axis or upward}

so, Electric field is will be at in the direction of +Z axis

-QE = -QVB

E = VB

E= 1.7*10^6 *0.45

E = 7.65*10^5 V/m { upward }

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