Power Question: How Much Power Does a 120-V Light Bulb Use?

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Homework Help Overview

The discussion revolves around calculating the power consumption of a light bulb connected to a 120-V outlet that draws 0.5 A of current. The subject area includes electrical power calculations, particularly in the context of alternating current (AC) versus direct current (DC).

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the formula P = IV for calculating power, with some questioning the context of alternating current and the relevance of RMS values. There is discussion about phase shifts in AC circuits and their impact on power calculations.

Discussion Status

The discussion is active, with participants providing insights on the implications of using RMS values and the conditions under which the formula applies. There is acknowledgment of the assumptions regarding phase shifts in resistive loads like light bulbs.

Contextual Notes

Some participants note the lack of explicit mention of alternating current in the original question, while others highlight the common use of RMS values in household electrical systems.

Aprilshowers
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Question:
How much power does a light bulb connected to a 120-V outlet use if it draws .5A of current?
My answer is:
P=1.V
=.5 x 120
=60Watts
Does that look correct?
 
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Aprilshowers said:
Question:
How much power does a light bulb connected to a 120-V outlet use if it draws .5A of current?
My answer is:
P=1.V
=.5 x 120
=60Watts
Does that look correct?
Yes. I think you meant P = IV

AM
 
As your output uses Alternating Current. Just make sure that the values for voltage and current you have there are RMS (root mean square). The definition for real power is the integral of the dot product of voltage and current over time. RMS simplifies this however. By dividing the peak values by square root two, you can do simple multiplication and the equation P = IV still applies.

Nonetheless, I am happy to say that the 120-V rating in most European/North American homes is the RMS value.
 
Last edited:
It doesn't say about alternating current.

Daniel.
 
dextercioby said:
It doesn't say about alternating current.

Daniel.
I can't say I know of many 120VDC outlets around...
 
If you are dealing with alternating currents the equation becomes:

P = I.V.cos(h)

Where h is the phase shift between the graph of voltage and of current.

-NewScientist
 
NewScientist said:
If you are dealing with alternating currents the equation becomes:

P = I.V.cos(h)

Where h is the phase shift between the graph of voltage and of current.

-NewScientist
There is a 0 phase shift between voltage and the current passing through a light bulb, which is resistance with virtually 0 reactance.

AM
 
Exactly, but there is not always 0 phase shift, that is why in that case cos (h)=1 as h = 0. Therefore the result can be simplified to IV.

In some cases cos(h) is not 1 as the phase shift is not 0 and so this ter mis useful.

-NewScientist
 
NewScientist said:
Exactly, but there is not always 0 phase shift, that is why in that case cos (h)=1 as h = 0. Therefore the result can be simplified to IV.

In some cases cos(h) is not 1 as the phase shift is not 0 and so this ter mis useful.

-NewScientist
If the light bulb, which is a pure resistor, is drawing .5 amps (RMS) with 120 volts (RMS) across it, it is consuming 60 watts of power (RMS). There is always a 0 phase shift if the load, like a light bulb, is a pure resistor.

AM
 
  • #10
I didn't read the specific first post and I saw a couple of bumbling post on P = IV in regards to AC, and so I posted the formula. I was speaking of other examples when I said that the cos(phase shift) was an important term.

Oh and if it were a flourescent lamp it wouldn't be in phase.

-NewScientist
 
Last edited:

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