A metal rod with a length of 25.0 cm lies in the xy-plane and makes an angle of 37.5 ∘ with the positive x-axis and an angle of 52.5 ∘ with the positive y-axis. The rod is moving in the + x-direction with a speed of 6.80 m/s. The rod is in a uniform magnetic field B⃗ = (0.130T) i^ - (0.290T) j^ - (0.0800T) k^.

What is the magnitude of the emf induced in the rod?

Question

Skylar Russo

Physics

12 February, 06:10

A metal rod with a length of 25.0 cm lies in the xy-plane and makes an angle of 37.5 ∘ with the positive x-axis and an angle of 52.5 ∘ with the positive y-axis. The rod is moving in the + x-direction with a speed of 6.80 m/s. The rod is in a uniform magnetic field B⃗ = (0.130T) i^ - (0.290T) j^ - (0.0800T) k^.

What is the magnitude of the emf induced in the rod?

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Answers (1)

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Maliyah Baird · Answer 1

We are given with the following:

L = 25 cm

θx = 37.5 °

θy = 52.5°

vx = 6.8 m/s

B = 0.13i - 0.29j - 0.08k

And we are asked for the emf induced in the rod

E = B L v

Substitute the values for B and L into the equation. For v, use the given velocity along x and the angles to convert it to vector form. Then, solve for E.