Voltage effects on power dissipated

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SUMMARY

The relationship between voltage and power across a resistive element, such as a light bulb, is governed by Ohm's Law, expressed as P = VI. If a light bulb rated at 100W operates at 140V, doubling the voltage to 280V results in a power output of 200W, assuming the resistance remains constant. The current increases from 0.71A to 1.42A under these conditions. However, exceeding the rated voltage can lead to overheating and potential failure of the bulb, emphasizing the importance of using bulbs rated for higher wattage when increased power is necessary.

PREREQUISITES
  • Understanding of Ohm's Law (V=IR, P=VI)
  • Knowledge of electrical resistance and its temperature coefficient
  • Familiarity with light bulb specifications and ratings
  • Basic concepts of power dissipation in resistive elements
NEXT STEPS
  • Research the temperature coefficient of resistance (TCR) for different materials used in light bulbs
  • Learn about the effects of voltage on power dissipation in non-resistive elements like capacitors and inductors
  • Explore the implications of using higher wattage bulbs for increased power needs
  • Study the relationship between voltage, current, and power in AC circuits
USEFUL FOR

Electrical engineers, physics students, lighting designers, and anyone interested in the principles of electrical power and resistance in light bulbs.

fresno89
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Trying to find the relationship between voltage and power across a resistive something.

Using a lightbulb if the bulb was rated at 100W when 140 Volts is used, what would happen to the power if the voltage was doubled? (assuming the light bulb doesn't explode)
 
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If the light bulb doesn't explode, it obeys V=IR and P=VI.
 
Light bulbs aren't aware of Ohm's law.
The current would probably go up between 5% and 100%. Current would depend on rating of light bulb.
Unless of course the light bulb used a carbon filament, then the current would more than double.
 
Other then electronics 101...Watts = V^2/R ... but lightbulbs are specifcally made to give off light - not be resistors.

What C-P is alluding to is that the element of the light bulb is a resistor - but the resistance varies greatly with temperature. Tungsten has a Positive Temp coefficient - as the temp goes up the resistance goes up. A carbon element has a negative TC (as do Diodes ) so as the temp goes up the resistance goes down -

Precision resistors usually have a specific rating for this TCR.

Soooo - the better question would be - how doe the resistance of a light bulb vary over voltage - that totally depends on the lightbulb!
 


The relationship between voltage and power across a resistive element is described by Ohm's Law, which states that power (P) is equal to the product of voltage (V) and current (I), or P = VI. Therefore, if the voltage is doubled, the power will also double, assuming the resistance of the element remains constant.

In the case of the lightbulb, if it is rated at 100W when 140V is used, the current flowing through it can be calculated using Ohm's Law as I = P/V = 100/140 = 0.71A. If the voltage is doubled to 280V, the current will also double to 1.42A, resulting in a power of 200W (P = VI = 280 x 1.42 = 200W).

It is important to note that this relationship only holds true for resistive elements, as the power dissipated in other types of elements (such as capacitors or inductors) can be affected by factors such as frequency and phase difference between voltage and current.

Additionally, it is important to consider the limitations of the lightbulb and not exceed its rated voltage, as this can lead to overheating and potentially cause the bulb to explode. In cases where higher power is needed, it is recommended to use a higher wattage bulb rather than increasing the voltage.
 

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