Problem 23.41 The lightbulb in the circuit shown in the figure( Figure 1 )has a

Question

Problem 23.41

The lightbulb in the circuit shown in the figure(Figure 1)has a resistance of 13? and consumes 9.4W of power; the rod is 1.26m long and moves to the left with a constant speed. The strength of the magnetic field is 2.5T .

Part A

Find the current in the circuit.

Express your answer using two significant figures.

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Part B

Find the speed of the rod.

Express your answer using two significant figures.

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Figure 1 of 1

Explanation / Answer

Power = v^2 /R or I ^2 R
We need both V and I to solve the questions.

so v = sqrt(9.4 * 13)= 11.055 V

and I = sqrt(9.4 / 13) = 0.85 A

For the speed of the rod
Volts = B L v
so v = Volts / ( BL)
= 11.055 /(2.5 * 1.26)

= 3.509 m/s or 3.5m/s

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