# Thermal Voltage Calculator, Formula, Thermal Voltage Calculation

## Thermal Voltage Calculator:

Enter the values of Boltzmann constant, k(J/K), temperature, T(K) and charge, Q(C) to determine the value of thermal voltage, Vth(V).

 Enter Boltzmann Constant: J/K Enter Temperature: K Enter Charge: C Result – Thermal Voltage: V

## Thermal Voltage Formula:

Thermal voltage is a fundamental concept in semiconductor physics and electronics, particularly relevant to the behaviour of diodes and transistors at various temperatures.

It represents the voltage developed across a semiconductor junction due to thermal energy at a given temperature.

Understanding and calculating thermal voltage is crucial for analyzing and designing electronic circuits that operate under different thermal conditions.

Thermal voltage, Vth(V) in volts equals the product of Boltzmann constant, k(J/K)­ in joules per kelvin, temperature, T(K) in kelvin and then divided by charge, Q(C) in coulombs.

Thermal voltage, Vth(V) = k(J/K)­ * T(K) / Q(C)

Vth(V) = thermal voltage in volts, V.

k(J/K) = ­Boltzmann constant in joules per kelvin, J/K.

T(K) = temperature in Kelvin, K.

Q(C) = charge in coulombs, C.

### Thermal Voltage Calculation:

1. Calculate the thermal voltage at a temperature of 300 Kelvin:

Given: k(J/K) = 1.38 * 10-23, Q(C) = 1.6 * 10-19, T(K) = 300K.

Thermal voltage, Vth(V) = k(J/K)­ * T(K) / Q(C)

Vth(V) = 1.38 * 10-23 * 300 / 1.6 * 10-19

Vth(V) =2.5875e-40V.

1. Determine the temperature with the voltage of 0.0345V:

Given: k(J/K) = 1.38 * 10-23, Q(C) = 1.6 * 10-19, Vth(V) = 0.0345V.

Thermal voltage, Vth(V) = k(J/K)­ * T(K) / Q(C)

T(K) = Vth(V) * Q(C) / k(J/K)­

T(K) = 0.0345 * 1.6 * 10-19 / 1.38 * 10-23

T(K) = 400K.

### Applications and Considerations:

• Semiconductor Device Analysis: Thermal voltage calculations are essential for the proper design and analysis of semiconductor devices.
• Thermal Sensors: It helps in the calibration and operation of thermal sensors that utilize semiconductor properties.
• Circuit Design: Engineers consider thermal voltage to ensure electronic components operate reliably across various temperatures.