The power dissipation in a resistor can be calculated using Ohm's Law and the formula for power:
Ohm's Law: V = I * R
Where:
V is the voltage across the resistor (in volts, V),
I is the current flowing through the resistor (in amperes, A), and
R is the resistance of the resistor (in ohms, Ω).
Power Formula: P = V * I
Where:
P is the power dissipated by the resistor (in watts, W),
V is the voltage across the resistor (in volts, V), and
I is the current flowing through the resistor (in amperes, A).
Combining the two formulas, you get:
P = I^2 * R
or
P = V^2 / R
These formulas allow you to calculate the power dissipation in a resistor using either the current and resistance or the voltage across the resistor and its resistance. Make sure to use the appropriate units (volts, amperes, and ohms) in the calculations to get the result in watts (W). Additionally, ensure that the resistor is operating within its power rating to avoid damage or overheating.