When current passes through a resistor, the heat produced by Joule’s heating effect is given by-

where,

I =current

R = resistance of the resistor

t = time for which current is flowing

Joule heat is directly proportional to the square of the current passing through the resistor.

We know,

Peltier heat is defined as the change in the temperature at the junction due to the flow of current in a circuit consists of two different kinds of conductor which lead to a heating or cooling effect is observed at the junction between the two material.

Peltier heat is directly proportional to the current passing through the junction.

Thomson heat is defined as the evolution or absorption of heat when electric current passes through a circuit composed of a single material that has a temperature difference along its length

Also, in case of Thomson heat is also directly proportional to the current passing through the section of the wire.