A long electric cable is suspended above the earth and carries a current of 345 A parallel to the surface of the earth. The earth’s magnetic field has a value of 5.6 × 10−5 T and makes an angle of 88.2 ◦ with respect to the cable. What is the magnitude of the force f exerted on a cable of length 46.9 m due to the earth’s magnetic field? Answer in units of N

Respuesta :

Answer:

0.906 N

Explanation:

Formula for magnetic force acting on current carrying cable:

[tex] F = IBLsin(\theta) [/tex]

Where I = 345A is the current in the wire, B = [tex]5.6*10^{-5} T[/tex] is the magnetic magnitude generated by Earth. L = 46.9 m is the cable length. [tex]\theta = 88.2^o[/tex] is the angle between vector B and cable direction.

[tex] F = 345*5.6*10^{-5}*46.9*sin(88.2^o) [/tex]

[tex] F = 0.906 N[/tex]

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