Physics20805 marksNumerical: Hall voltage copper slabHall effect
A current of 50 A is supplied in a slab of copper 0.5 cm thick and 2 cm wide which is placed in a magnetic field B of 1.5 T. The magnetic field is perpendicular to the plane of the slab and to the current. If the free electron concentration in copper is 8.4 times 1028 text electrons/m3, what will be
A current of 50 A is supplied in a slab of copper 0.5 cm thick and 2 cm wide which is placed in a magnetic field $B$ of 1.5 T. The magnetic field is perpendicular to the plane of the slab and to the current. If the free electron concentration in copper is $8.4 \times 10^{28} \text{ electrons/m}^3$, what will be the magnitude of the Hall voltage across the width of the slab? [5]
Quantity Value ------ Current, $I$ $50\ \text{A}$ Thickness of slab, $t$ $0.5\ \text{cm} = 0.5 \times 10^{-2}\ \text{m}$ Width of slab, $w$ $2\ \text{cm} = 2 \times 10^{-2}\ \text{m}$ Magnetic field, $B$ $1.5\ \text{T}$ (perpendicular to plane of slab and to current) Free electron concentration, ...