Solved: Let Fig. E27.53 represent a strip of an unknown

Chapter 27, Problem 54E

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QUESTION:

Let Fig. E27.53 represent a strip of an unknown metal of the same dimensions as those of the silver ribbon in Exercise 27.53. When the magnetic field is 2.29 T and the current is 78.0 A, the Hall emf is found to be 131 \(\mu \mathrm{V}\). What does the simplified model of the Hall effect presented in Section 27.9 give for the density of free electrons in the unknown metal?

Equation Transcription:

Text Transcription:

muV

y_1

z_1

Vector B

Questions & Answers

QUESTION:

Let Fig. E27.53 represent a strip of an unknown metal of the same dimensions as those of the silver ribbon in Exercise 27.53. When the magnetic field is 2.29 T and the current is 78.0 A, the Hall emf is found to be 131 \(\mu \mathrm{V}\). What does the simplified model of the Hall effect presented in Section 27.9 give for the density of free electrons in the unknown metal?

Equation Transcription:

Text Transcription:

muV

y_1

z_1

Vector B

ANSWER:

Solution 54E

We need to calculate the density of free electrons of the unknown metal. From the data given, we can use the following formula to calculate this density.

…..(1)

Where, Hall voltage

current

magnetic field

density of free electrons

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