A strip of copper 190 µm thick and 4.20 mm wide is placed in a uniform magnetic field of magnitude B = 0.78 T, that is perpendicular to the strip. A current i = 32 A is then sent through the strip such that a Hall potential difference V appears across the width. Calculate V.

Question

Physics

Clayton Griffin

9 September, 17:51

A strip of copper 190 µm thick and 4.20 mm wide is placed in a uniform magnetic field of magnitude B = 0.78 T, that is perpendicular to the strip. A current i = 32 A is then sent through the strip such that a Hall potential difference V appears across the width. Calculate V.

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Answers (1)

Know the Answer?

Esteban Davies · Answer 1

V = 9.682 * 10^ (-6) V

Explanation:

Given data

thick = 190 µm

wide = 4.20 mm

magnitude B = 0.78 T

current i = 32 A

to find out

Calculate V

solution

we know v formula that is

V = magnitude * current / (no of charge carriers * thickness * e

here we know that number of charge carriers/unit volume for copper = 8.47 x 10^28 electrons/m³

so put all value we get

V = magnitude * current / (no of charge carriers * thickness * e

V = 0.78 * 32 / (8.47 x 10^28 * 190 * 1.602 x 10^ (-19)

V = 9.682 * 10^ (-6) V