Electrical Resistance Exercise, .

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SUMMARY

The electrical resistance required for a light bulb to consume 60W of power at a voltage of 220V is calculated using the formula R = V^2 / P. Substituting the values, R equals 807 ohms, confirming the solution is correct. The discussion emphasizes the importance of understanding the relationship between power, voltage, and resistance in electrical circuits. It also highlights the utility of writing out applicable equations to enhance comprehension of the underlying physics.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with electrical power formulas
  • Basic knowledge of voltage, current, and resistance
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of Ohm's Law and its applications
  • Learn about AC vs. DC power calculations
  • Explore the concept of electrical resistance in different materials
  • Investigate the effects of temperature on resistance
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding electrical circuits and power consumption calculations.

claudiadeluca
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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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