Circuit: current value in generator

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SUMMARY

The discussion centers on calculating the current magnitude in an AC circuit with a given rms voltage of 158V, resistance of 106Ω, inductive reactance of 205Ω, and capacitive reactance of 110Ω. The impedance (Z) is derived from the formula Z = √(R² + (X(L) - X(C))²). The phase angle affects the current, indicating that the current will be less than the maximum value due to the non-phase alignment of voltage and current. The minimum impedance is equal to the resistance when the load is purely resistive.

PREREQUISITES
  • Understanding of AC circuit fundamentals
  • Knowledge of impedance calculation in RLC circuits
  • Familiarity with Ohm's Law (V=IR)
  • Ability to calculate rms and maximum values of voltage and current
NEXT STEPS
  • Calculate the total impedance (Z) using the formula Z = √(R² + (X(L) - X(C))²)
  • Learn about phase angles in AC circuits and their impact on current and voltage
  • Explore the effects of inductive and capacitive loads on circuit behavior
  • Study the relationship between maximum and rms values in AC circuits
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Electrical engineering students, circuit designers, and anyone involved in analyzing AC circuits and their components.

saritche
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Homework Statement


AC voltage source rms voltage of 158. Circuit has Resistance 106 X(L) is 205 and X(C) is 110
At the instant the voltage across the generator is at its maximum value, what is the magnitude of the current in the circuit?

Homework Equations


V=IR, Vmax=ImaxZ
I found Z, Irms


The Attempt at a Solution


voltage across generator is not in phase with the current so it will be less than the max value but I don't know by what factor it will be less
 
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The load can be inductive or capacitive to make phase angle = 0. So the minimum |Z| = R.
 

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