Suppose the light bulb in the figure below is replaced with a short wire of zero resistance, and the resistance of the rails is negligible. The only resistance is from the moving rod, which is iron (resistivity =9.50\times10^{-8} ohm.m). The rod has a cross-sectional area of 3.50\times10^{-6}m

Phoebe

Phoebe

Answered question

2021-04-26

Suppose the light bulb in the figure below is replaced with a short wire of zero resistance, and the resistance of the rails is negligible. The only resistance is from the moving rod, which is iron (resistivity =9.50×108 ohm.m). The rod has a cross-sectional area of 3.50×106m

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-04-28Added 96 answers

Here are the explanations:

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Jeffrey Jordon

Jeffrey Jordon

Expert2021-09-08Added 2605 answers

Calculate the resistane of the rod using the following formula

R=ρLA

Here, ρ is the resistivity of the material, L is the length of the rod, and A is the area of the rod.

The induced emf in the rod due to the motion of the rod in the magnetic field is

ϵ=BLv

Here, v is the speed of the rod and B is the magnetic field.

The current in the rod is,

I=ϵR

I=BLv(pLA)

=BvAρ

Substitute the numerical values we get

I=(0.045 T)(1.0 m/s)(3.50×106 m2)9.50×108

=1.657 A

=1.66 A round off to 3 significant figure

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