what happens to the power of an electric circuit if the resistance is decreased?? explain?? i know that as the power increases the resistance decreases why is that??

Power = voltage^2 / resistance.

Think again about what you "know". Resistance does not decrease with increased power. For some things, like incandescent light bulbs, it goes up. Usually it stays the same.

P = I*V = V^2/R

Assume the circuit voltage (V) stays the same. What happens to power (P) when R decreases?

When the resistance (R) in an electric circuit decreases while the voltage (V) remains constant, the power (P) in the circuit increases. This can be understood by examining the formula for power:

P = V^2 / R

From this formula, we can observe that power is inversely proportional to the resistance. As the resistance decreases, the denominator in the formula becomes smaller, resulting in an increase in the overall value of power.

To understand this concept intuitively, consider the flow of electric current in a circuit. When resistance decreases, the flow of current becomes easier, as there are fewer obstacles for the electrons to overcome. This increased current results in more work being done by the electrical energy, leading to an increase in power.

It is important to note that the relationship between power and resistance depends on the specific components and their characteristics within the circuit. While decreasing resistance generally increases power in simple circuits, in certain devices such as incandescent light bulbs, resistance may increase with increased power due to factors like increased heat leading to a higher resistance in the filament. Therefore, it is essential to consider the characteristics of the components involved to determine the specific impact of resistance on power in a given circuit.