How Do You Calculate Resistance, Current, and Power in Parallel Circuits?

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SUMMARY

The discussion focuses on calculating resistance, current, and power in parallel circuits using ten 110-ohm lamps connected to a 110-V house line. The combined resistance of the lamps is determined to be 11 ohms using the formula for total resistance in parallel circuits: 1/Rt = 1/r1 + 1/r2 + ... The current flowing through the line is calculated to be 10 amps using Ohm's Law (V = IR). Consequently, the power supplied to the circuit is confirmed to be 1100 watts, calculated using the formula P = VI.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of power calculations (P = VI)
  • Familiarity with parallel circuit resistance calculations (1/Rt = 1/r1 + 1/r2 + ...)
  • Basic electrical concepts such as voltage, current, and resistance
NEXT STEPS
  • Study advanced parallel circuit analysis techniques
  • Learn about series vs. parallel circuits and their applications
  • Explore power factor and its impact on electrical systems
  • Investigate the effects of load variations on circuit performance
USEFUL FOR

Electrical engineering students, hobbyists working with circuits, and professionals involved in electrical design and analysis will benefit from this discussion.

demode
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1. Ten 110-ohm lamps are connected in parallel to a 110-V house line. A) What is the combined resistance of the ten lamps? B) What current flows in the line when all ten lamps are operating? C) What power is then being supplied to the circuit by the line?

I just wanted to have someone check my work and see if I attacked this problem the right way.




2. 1 / Rt = 1 / r1 + 1 / r2... (total resistance for resistors in parallel)
V = IR
P = VI




3. A) This is simple: add (1/110) ten times, giving (1/11).. Then cross multiplication can be used to find that Total resistance is equal to 11 ohms

B) To find the current that flows in the line, we can use ohms law and substitute 110 volts = 11 ohms * I, and I will evaluate to 10 amps

C) P = (110 volts)(10 amps) = 1100 right?
 
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