What is the Hall effect?

What force deflects charge carriers sideways in the Hall effect?

What balances the magnetic force once the Hall voltage has built up?

State the Hall field in terms of drift speed and magnetic field.

State the Hall voltage for a strip carrying current \(I\) in field \(B\).

What can the sign of the Hall voltage reveal?

A strip has current \(2.0\,\mathrm{A}\), field \(0.50\,\mathrm{T}\), carrier density \(8.0\times10^{28}\,\mathrm{m^{-3}}\), carrier charge \(1.60\times10^{-19}\,\mathrm{C}\), and thickness \(1.0\,\mathrm{mm}\). Find \(V_H\).

How does Hall voltage change if current doubles and everything else stays fixed?

How does Hall voltage change if the magnetic field reverses direction?

Why is the Hall voltage usually small in metals?

A Hall sensor has \(V_H=2.0\,\mathrm{mV}\), \(I=10\,\mathrm{mA}\), Hall coefficient \(R_H=4.0\times10^{-4}\,\mathrm{m^3\,C^{-1}}\), and thickness \(0.50\,\mathrm{mm}\). Find \(B\).

State the Hall coefficient for a single carrier type.

Derive \(E_H=v_dB\) from force balance.

Derive \(V_H=IB/(nqt)\) using \(I=nqv_dA\).

A material has Hall coefficient \(R_H=-6.25\times10^{-5}\,\mathrm{m^3\,C^{-1}}\). Find carrier density magnitude for single-carrier conduction.

Why does making a Hall strip thinner increase Hall voltage?

A Hall probe is calibrated so \(V_H=5.0\,\mathrm{mV}\) at \(0.20\,\mathrm{T}\). Assuming linear response, what voltage is expected at \(0.80\,\mathrm{T}\)?

A current and magnetic field are both reversed. What happens to the Hall voltage sign?

Why is the Hall effect useful for measuring magnetic fields?

Explain the full cause-and-balance chain that creates a Hall voltage.