A long straight wire carries a current of 66 A. An electron, traveling at 1.0 ✕ 107 m/s, is 3.0 cm from the wire. What is the magnitude of the magnetic force on the electron if the electron velocity is directed as follows?

Respuesta :

Answer:

[tex]7.04\times 10^{-16} N[/tex]

Explanation:

We are given that

Current,I=66 A

Speed,v=[tex]1.0\times 10^7 m/s[/tex]

d=3 cm=[tex]\frac{3}{100}=0.03 m[/tex]

1 m=100 cm

We have to find the magnitude of the magnetic force on the electron if the electron velocity is directed as  follows.

Magnetic field,B=[tex]\frac{2\mu_0 I}{4\pi d}[/tex]

[tex]\frac{\mu_0}{4\pi}=10^{-7}[/tex]

Substitute the values

[tex]B=\frac{2\times 10^{-7}\times 66}{(0.03)}=4.4\times 10^{-4} T[/tex]

q=[tex]1.6\times 10^{-19} C[/tex]

[tex]F=qVB=1.6\times 10^{-19}\times 1\times 10^7\times 4.4\times 10^{-4}=7.04\times 10^{-16} N[/tex]