Solving Energy Dissipation in Lightbulbs Connected to a Power Line

In summary, the conversation discusses the problem of determining the rate at which energy is dissipated in lightbulbs connected to a 120 V/60 Hz power line. The suggested approach is to find the resistance of each lamp, the equivalent resistance of the circuit, and the current in each branch to calculate the energy dissipated in each lamp.
  • #1
Mitchtwitchita
190
0

Homework Statement



Lightbulbs labeled 40 W, 60W, and 100 W are connected to a 120 V/60 Hz power line as shown in the diagram. What is the rate at which energy is dissipated in each bulb?



Homework Equations



Pr = (Vrms)^2/R

The Attempt at a Solution



I'm not exactly sure how to get this one started. Do I have to make some sort of equivalency lightbulb? Can somebody please point me in the right direction?
 

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  • #2
Voltage across each branch is the same. Using the relevant equation find the resistance of each lamp.

Find the equivalent resistance of the circuit and the current in each branch.

Energy dissipated in each lamp is given by I^2*R.

Now proceed.
 
  • #3
Thanks a bunch rl.bhat!
 

Related to Solving Energy Dissipation in Lightbulbs Connected to a Power Line

1. How does energy dissipation occur in lightbulbs connected to a power line?

Energy dissipation in lightbulbs occurs due to the resistance in the filament of the bulb. As electricity flows through the filament, it encounters resistance, which causes some of the electrical energy to be converted into heat energy. This heat energy is then released into the surrounding environment, resulting in energy dissipation.

2. Why is energy dissipation a problem in lightbulbs?

Energy dissipation in lightbulbs leads to inefficient use of electricity and can result in higher energy bills. It also causes the lightbulb to heat up, which can potentially lead to overheating and even short circuits in some cases.

3. How can energy dissipation be reduced in lightbulbs connected to a power line?

One way to reduce energy dissipation in lightbulbs is to use energy-saving bulbs, such as LED or CFL bulbs, which have lower resistance and therefore dissipate less energy. Another way is to use a voltage regulator or a surge protector to regulate the amount of electricity flowing to the lightbulb.

4. Can energy dissipation be completely eliminated in lightbulbs?

No, energy dissipation cannot be completely eliminated in lightbulbs. However, it can be minimized by using energy-efficient bulbs and regulating the voltage. Some energy will always be lost due to resistance in the filament, but it can be reduced to a minimum.

5. Are there any safety concerns related to energy dissipation in lightbulbs?

Yes, energy dissipation in lightbulbs can potentially lead to overheating, which can be a fire hazard. It is important to use the correct type and wattage of lightbulb for your fixtures to avoid overheating. It is also recommended to turn off lights when not in use to prevent excess energy dissipation and potential safety hazards.

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