A velocity selector having uniform perpendicular electric and magnetic fields is

Question

A velocity selector having uniform perpendicular electric and magnetic fields is shown in the figure (Figure 1) . The electric field is provided by a 150 V DC battery connected across two large parallel metal plates that are 4.50 cm apart.

Part A: What must be the magnitude of the magnetic field so that charges having a velocity of 3.30 km/sperpendicular to the fields will pass through undeflected?

Part B: Explain how the magnetic field should point in the region between the plates in essay form

Explanation / Answer

A) E = V/d = 150 V / 0.045m = 3333.33 V/m

direction of field is upward.

and Fe = qE
if magnetic force acts in oppsite direction of electric force(same magnitude) then particle will travel straight.

magnetic force = q(v x B)

qE = qvB

3333.33q = q ( 3.30 x 10^3 m/s) B

B = 1.01 T

B) direction of B is out of page.

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