The path of an electron, traveling at 3.7 × 104 meters/second, is making a right angle to a magnetic field. A single electron experiences a force of 2.2 × 10-15 newtons while in the field. What is the strength of the magnetic field? The value of q = -1.6 × 10-19 coulombs.

Respuesta :

[tex]F=BQv[/tex]
[tex]B= \frac{F}{Qv} [/tex]
[tex]B= \frac{2.2\times10^{-15}}{(1.6\times10^{-19})\times(3.7\times10^4)} [/tex]

B = 0.372T (3sf)

The force experienced by a charged particle in a magnetic field

When a charged particle moves in a magnetic field it  experiences a force given by ,

F= qvBsinθ

Here, q=  charge on the particle, B = magnetic field strength

v = velocity of the particle

θ = the angle between velocity  of the particle and magnetic field

What is magnetic field strength?

Magnetic field strength is the   amount of force experienced by a unit north pole when it moves in a magnetic field.

Here,

V= [tex]3 X 10^{4} m/s[/tex]

F = [tex]2.2 X 10^{-15} N[/tex]

θ = 90⁰

Hence,   F = qvBsin90 = qvB

So, B = F/ qv

B = [tex]\frac{2.2 X10^{-15} }{(1.6 X 10^{-19}) (3.7 X10^{4} )}[/tex]

B = 0.37T

Hence the strength of magnetic field is 0.37 T.

To know more on force experienced by magnetic field here

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