Two rectangular plates, A and B

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

Two rectangular plates, A and B, have identical dimensions and carry the same conventional current

I

to the right while immersed in identical upward magnetic fields of magnitude

B

. Plate A is copper with free-electron density

n_A = 8.5\times10^{28}\,\text{m}^{-3}

. Plate B is a p-type semiconductor whose majority charge carriers are holes with density

n_B = 5.0\times10^{21}\,\text{m}^{-3}

. Assuming

I = n q A v

for each plate and that equilibrium gives

E = v B

, what is the ratio of the magnitude of the Hall voltage in plate B to that in plate A,

V_{H,B}/V_{H,A}

? (a)

1.7\times10^{8}

(b)

1.7\times10^{7}

(c)

5.9\times10^{6}

(d)

1.0\times10^{3}