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Chapter 29: Q. 59 (page 831)

An electron travels with speed 1.0脳107m/sbetween the two parallel charged plates shown in FIGURE. The plates are separated by 1.0cmand are charged by a 200Vbattery. What magnetic field strength and direction will allow the electron to pass between the plates without being deflected?

Short Answer

Expert verified

Magnetic field strength,B=2mT and its direction is into the page

Step by step solution

01

Field of force (part a) 

When a field of force is applied to the moving charges inside a conductor, the Hall-voltage is that the steady - state condition electrical difference between the 2surfaces of the conductor. By equation, the Hall voltage is proportional to the present current Iinside the conductor and also the flux.

螖VH=wvdB

Where wdenotes the plate width. Because no magnetism is applied on the electron at the steady-state potential, the electron will tolerate the plates without deflection.

B=螖VHwvd

02

Physical phenomenon (part b)

Put the values:

B=螖VHwvd

=200V1脳107m/s(0.01m)

=2脳10-3T

=2mT

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