Confusion regarding electrical power

[nokia8650]

From P=(V^2)/R, it suggests that as you increase the resistance, you decrease the electrical power.

Conversely, from P= (I^2)R, it suggests taht if you increase the resistance, you increase the electrical power.

Please can someone explain the above.

Thanks alot

 

[LowlyPion]

From P=(V^2)/R, it suggests that as you increase the resistance, you decrease the electrical power.

Conversely, from P= (I^2)R, it suggests taht if you increase the resistance, you increase the electrical power.

Please can someone explain the above.

Thanks alot

Both of the presumptions are based on holding either V or I constant in determining power.

The real relationship is P = V * I.

R is a passive element that relates V and I.

 

[baba89]

It is understandable that there may be confusion regarding electrical power when looking at these two equations. However, the key factor to note is that the two equations are describing different scenarios.

The first equation, P=(V^2)/R, is known as Ohm's Law and describes the relationship between voltage, current, and resistance in a simple circuit. In this equation, we can see that as resistance increases, the power decreases. This is because as resistance increases, there is less current flowing through the circuit, resulting in less power being transferred.

On the other hand, the second equation, P=(I^2)R, is known as Joule's Law and describes the relationship between current, resistance, and power in a circuit that has a fixed resistance. In this equation, we can see that as resistance increases, the power also increases. This is because as resistance increases, the current must also increase in order to maintain the same amount of power being transferred.

In summary, the two equations are describing different scenarios and should not be directly compared. Ohm's Law is applicable in simple circuits where the resistance can be varied, while Joule's Law is applicable in circuits with a fixed resistance. It is important to understand the context and conditions under which these equations are being used in order to properly interpret their results.