Question

A 1.5 m length of wire carrying 6.4 A of current is stretched out on the ground. At that point on the Earth's surface, the dip angle of the Earth's magnetic field makes an angle of 38.0 degrees to the wire. Estimate the magnetic force on the wire due to the Earth's magnetic field of 5.5x10-5 T at this point.

Answer 1

magnetic force is 1.56 ×
`10^(-4)` N

Step-by-step explanation:

given data

length = 1.5 m

current I = 6.4 A

angle = 38.0 degrees

earth magnetic field = 5.5 x 10^-5 T

to find out

magnetic force

solution

we know the magnetic force formula that is

magnetic force = E × I × L × sin(θ) ..................1

here E =earth magnetic field

and I = current

and L = Length and (θ) is angle

so put all value here in equation 1

magnetic force = 5.5 x 10^-5 × 1.5 × 6.4 × sin(38)

magnetic force = 0.000156

magnetic force is 1.56 ×
`10^(-4)` N