Numericals on Hall Effect - Semiconductor - Engineering Physics 1

TL;DR

Solving numericals on Hall Effect, including finding resistivity, current, voltage, mobility, Hall coefficient, and Hall angle.

Transcript

elephants in today's class will be solving numericals on hall-effect well numericals on hall-effect again are very important for your exam perspective the first question says that mobility of holes is 0.025 meter square per volt second what would be the resistivity of p-type silicon if the hall coefficient of the sample is 2.25 10 to the power minu... Read More

Key Insights

• ⚡ Solving numerical problems related to Hall Effect involves using formulas such as resistivity, conductivity, resistance, current, voltage, mobility, and carrier density.
• ❓ The Hall Effect can be used to measure various properties of materials, including resistivity and carrier density.
• ⚡ Understanding the relationship between the applied voltage, magnetic field, current, and dimensions of the sample is crucial in determining the Hall voltage and Hall angle.
• ❓ Hall Effect experiments require careful analysis and calculations to obtain accurate results.

Questions & Answers

Q: How do you calculate the resistivity of p-type silicon based on the Hall coefficient and mobility of holes?

To find the resistivity, you can use the formula Rho = RH * muH, where RH is the Hall coefficient and muH is the mobility of holes. By plugging in the given values, you can calculate the resistivity.

Q: How do you determine the current and voltage through a bar placed in a magnetic field using the Hall Effect?

To find the current, you can use Ohm's law formula I = V/R, where V is the voltage applied across the bar and R is the resistance. By calculating the resistance using the formula R = Rho * L/A and plugging in the values, you can determine the current through the bar. The voltage between the Hall electrodes can be found using V = RH * B * J * D formula.

Q: How do you calculate the mobility and carrier density based on resistivity and Hall coefficient?

To find the mobility, you can use the formula mu = 1/(n * e * Rho), where n is the carrier density, e is the charge of an electron, and Rho is the resistivity. By plugging in the given values, you can calculate the mobility. The carrier density can be determined using the formula n = 1/(RH * e) with the given values.

Q: How do you find the Hall voltage, Hall coefficient, and Hall angle in a Hall Effect experiment?

The Hall voltage can be calculated using the formula VH = B * I / (n * e * W), where B is the magnetic field, I is the current, n is the carrier density, e is the charge of an electron, and W is the width of the sample. The Hall coefficient can be determined using the formula RH = (VH * W) / (B * I). The Hall angle can be found using the formula ThetaH = invtan(muH * B * I / n * e * W).

Summary & Key Takeaways

• The content covers solving numerical problems related to the Hall Effect, including finding resistivity and conductivity using Hall coefficients.

• It also includes calculating current and voltage through a sample bar and determining the Hall voltage and Hall angle.

• The content emphasizes the importance of understanding and applying formulas in Hall Effect experiments and provides step-by-step solutions.