Electrical Resistance Exercise, .

AI Thread Summary
To determine the electrical resistance needed for a light bulb to consume 60W at 220V, the formula used is Power = Voltage^2 / Resistance. By rearranging this equation, the resistance is calculated to be 807 ohms, which is confirmed as correct. The discussion emphasizes the importance of understanding the relationship between power, voltage, and resistance in electrical circuits. It also highlights the benefit of writing out relevant equations to reinforce comprehension of the underlying physics. This approach aids in accurately solving similar electrical resistance problems.
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Please help with the following exercise:

How much should the electrical resistance of a light bulb be in order to consume a power of 60W if a voltage of 220V is applied?

This is how I solved it:

Power= Voltage^2 / Resistance

60W = 220V^2 / R

R = 807 ohms

Is it correct? Thank you.
 
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Yes - the answer is correct.

for DC, Power = Voltage * Current, or P = V*I, but I = V/R, so

P = V2/R.

In this application, V is the potential difference driving the current I through resistance R.

When solving problems, it is best to write out the applicable equations so as to check one's understanding of the physics.
 
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