Power in electronics is the rate of doing work. Resistance is the opposition offered against the flow of electrons. The relation between power and resistance is proportional. In physics, power and resistance can be related using two formulas. In this article, we will study both the relations between power and resistance.
Power and Resistance
The relation between Power and Resistance can be mathematically expressed in two ways, as follows-
| P = I2R |
Where,
- P is the Power measured in watt
- R is the resistance measured in ohms
- I is the electric current measured in coulombs
\(\begin{array}{l}P=\frac{V^{2}}{R}\end{array} \) |
Where,
- P is the Power measured in watt
- R is the resistance measured in ohms
- V is the electric potential measured in volts
Power and Resistance Relation
Both the formula mentioned above gives the relation between power and resistance. Consider P = I2R the electric power is directly proportional to resistance keeping I constant. Which implies-
- When power increases, the resistance will also increase keeping current I constant.
- When Resistance decreases, Power also reduces keeping current I constant.
Consider
For any constant Potential difference
- When power is high, resistance will be low.
- When power is low, the resistance will be high.
Power and Resistance Formula
Deriving Power and Resistance formula will concrete the understanding of the concept. Electric power(P) is the measure of the electric current I with Q coulombs of charge passing through a potential difference of V volts in time t seconds. Mathematically given by-
From Ohm’s law, we know that V=IR
Rearranging it for I we get,
Thus, substituting it in equation (1) we get-
Hope you have understood the relation between Power and Resistance, formulas along with the units of electricity and derivation. Also, power and resistance conversion in physics and electronics.
Physics Related Topics:
| Relation Between Electric Field And Electric Potential |
| Relation Between KVA and KW |
| Relation Between eV And Joule |
| Relation Between Line Voltage And Phase Voltage |
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