An electron traveling with velocity v = 2.5 × 10^5 xˆ needs to pass between two

Question

An electron traveling with velocity v = 2.5 × 10^5 xˆ needs to pass between two parallel conducting plates. The upper plate has a positve charge and the lower a negative charge.

a. Draw a sketch and indicate the path the electron will take as it passes between the plates. What causes the electron’s path to diverge from straight as it passes between the plates?

b. By applying an appropriate magnetic field the electron will be able to pass between the charged plates without being deflected at all (no change in direction). If the plates are separated by 1.5 cm and charged by a 220 V battery, what magnetic field strength and direction needs to be applied so that the electron will pass between the plates with a constant velocity?

Explanation / Answer

a)   The electron will take the parabolic path as it passes between the plates .

Force due to magnetic field causes the electron’s path to diverge from straight as it passes between the plates .

b)    Here, qvB   = qE

=>    qvB = q * (V/d)

=>     2.5 × 105 * B = 220/0.015

=>    B = 0.05866 T

=>    magnetic field strength =   0.05866 T

=>    direction =    out of plane of paper

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