How to Calculate Battery Voltage from Resistor Power Dissipation?

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To calculate the battery voltage from the power dissipation of a resistor, use the formula P = I²R, where P is power in watts, I is current in amperes, and R is resistance in ohms. Given a 33-ohm resistor dissipating 0.50 W, first determine the current using I = √(P/R). Once the current is known, apply Ohm's law (V = IR) to find the battery voltage. The discussion highlights the confusion around using power in calculations but clarifies that understanding the relationship between power, current, and resistance is key to solving the problem. Ultimately, the correct approach leads to successfully determining the battery voltage.
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Homework Statement



In the circuit shown, the 33-ohm resistor dissipates 0.50 W. What is the battery voltage?

http://phga.pearsoncmg.com/phga2/web/Giancoli6e/Public_Html/Chapter19/Aadxevw0.gif

Homework Equations



I am pretty sure that I use the equation V=IR, but I am not for sure how to go about using the 0.50W in the equation. At first I thought that I used P=IV for electric power, but I am just confused.

The Attempt at a Solution



I don't even know what equation to exactly use because the watts are throwing me off.
 
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crh said:

Homework Statement



In the circuit shown, the 33-ohm resistor dissipates 0.50 W. What is the battery voltage?

http://phga.pearsoncmg.com/phga2/web/Giancoli6e/Public_Html/Chapter19/Aadxevw0.gif

Homework Equations



I am pretty sure that I use the equation V=IR, but I am not for sure how to go about using the 0.50W in the equation. At first I thought that I used P=IV for electric power, but I am just confused.

The Attempt at a Solution



I don't even know what equation to exactly use because the watts are throwing me off.

You should know from Watts = V*I and V= I*R that Watts = I2R
Watts is your equation for P = Power.

So knowing the watts of a resistor let's you figure out the current.

Knowing the current and figuring the equivalent resistance for the 3 resistors through the V=I*R tells you the voltage of the supply.
 
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thank you, I figured it out with your help.
 
crh said:
thank you, I figured it out with your help.

Good luck then.
 
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