Question

A velocity selector in a mass spectrometer uses a 0.100-T magnetic field.

A. What electric field strength is needed to select a speed of 4.0×106m/s4.0×10 6m/s?
B. What is the voltage between the plates if they are separated by 1.00 cm?

Answer 1

A.) 400000 NC

B.) 4000 volt

Step-by-step explanation:

Given that a velocity selector in a mass spectrometer uses a 0.100-T magnetic field.

A.) The electric field strength that is needed to select a speed of 4.0×106m/s can be calculated by using the formula:

F = BQV

F/Q = BV

Where F/Q = Electric field strength E

B = magnetic field

V = speed

Substitute all the parameters into the formula

E = 0.1 × 4 × 10^6

E = 4 × 10^5 NC

B.) What is the voltage between the plates if they are separated by 1.00 cm?

Electric field strength is also the ratio of voltage to distance.

That is,

E = V/d

Substitute E and distance into the formula

400000 = V/ 0.01

Voltage = 400000 × 0.01

Voltage = 4000 volt.