A strip of copper `75.0 mu m` thick and 4.5 mm wide is placed in a uniform magnetic field `vec(B)` of magnitue 0.65 T. with `vec(B)` perpendicular to the strip. A current I = 57 A is then sent through the strip such that a hall potential difference V appears across the width of the strip. Calculate V. (The number of charge carries per unit volume for coppper is `8.47 xx 10^(28)` electrons/`m^(3)`).

Explanation

To calculate the Hall potential difference \( V \) across the width of the copper strip, we can use the formula for the Hall voltage:

\[ V = \frac{B I}{n L e} \]

where:
- \( V \) is the Hall potential difference,
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