Calculating power of one of two resistors

In summary, the formula for calculating the power of one of two resistors is P = V^2 / R, and the resistor with a lower resistance value will have more power. This calculation is significant for determining efficiency and selecting appropriate resistors in a circuit. It is important to use the correct units in calculations to ensure accuracy and avoid potential errors. There is a limit to the power output of a resistor, and it is important to select resistors with appropriate power ratings to prevent overheating and failure.
  • #1
carpelumen
10
0

Homework Statement


Two resistors R1 and R2 are connected in series to a battery supplying a voltage of ∆V as shown. How much power is dissipated by the resistor R2 in the form of heat? Use the following data: R1 = 10 Ω, R2 = 5 Ω, ∆V = 3 V
http://tinypic.com/r/153tr91/8

2. Homework Equations

Rtotal = R1 + R2
P=V^2/R
P= I^2 x R

The Attempt at a Solution


Rtot = 10 + 15 = 15 ohms
I = 3/15 = .2 A
P = (.2^2) x 10 = .4 WWhy is this the wrong answer??
 
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  • #2
Because R2 = 5 Ohms, not 10 Ohms
 

Related to Calculating power of one of two resistors

What is the formula for calculating the power of one of two resistors?

The formula for calculating the power of one of two resistors is P = V^2 / R, where P is power in watts, V is voltage in volts, and R is resistance in ohms.

How do I determine which resistor has more power?

The resistor with a lower resistance value will have more power. This is because a lower resistance allows for more current to flow through the circuit, resulting in a higher power output.

What is the significance of calculating the power of one of two resistors?

Calculating the power of one of two resistors helps to determine the efficiency of an electrical circuit. It also allows for proper sizing and selection of resistors in a circuit to prevent potential damage or overload.

Why is it important to use the correct units when calculating power?

Using the correct units, such as watts for power, volts for voltage, and ohms for resistance, is important because it ensures accuracy and consistency in calculations. Using incorrect units can lead to incorrect results and potential errors in the circuit.

Is there a limit to the power output of a resistor?

Yes, there is a limit to the power output of a resistor. Exceeding this limit can cause the resistor to overheat and potentially fail. It is important to select resistors with appropriate power ratings for the specific circuit to avoid exceeding this limit.

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