A straight wire segment of length 0.92 m carries a current of 20.4 A and is immersed in a uniform external magnetic field of magnitude 0.19 T.
(a) What is the magnitude of the maximum possible magnetic force on the wire segment?

Respuesta :

Answer:

The magnitude of the maximum possible force is 3.57 newtons.

Explanation:

The magnetic force on a wire is:

[tex]\overrightarrow{F}=I(\overrightarrow{L}\times\overrightarrow{B}) [/tex]

with I the current, L the length of the wire and B the magnitude magnetic field. So, the magnitude of the force is:

[tex]F=ILB\sin\theta [/tex] (1)

with [tex]\theta [/tex] the angle between the wire and the magnetic field, the maximum possible value is when the wire and magnetic field are perpendicular to each other [tex]\theta= 90Celsius\,degree [/tex] then [tex]\sin(90)=1 [/tex] so by (1):

[tex]F_{max}=ILB=(20.4A)(0.92m)(0.19T)[/tex]

[tex]F_{max}=3.57N [/tex]