What is the Voltage Across the Capacitor in an RLC Circuit with Zero Inductance?

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SUMMARY

The voltage across the capacitor in an RLC circuit with zero inductance can be calculated using Kirchhoff's voltage law. Given the rms voltage across the generator is 45V and the resistor is 24V, the current through the circuit is determined to be 8/15A. The voltage across the capacitor can be derived from the equation V = I * Xc, where Xc is the capacitive reactance. Since the sum of voltages in the loop must equal zero, the voltage across the capacitor is -21V.

PREREQUISITES
  • Understanding of Kirchhoff's voltage law
  • Familiarity with RLC circuit components
  • Knowledge of capacitive reactance (Xc)
  • Basic electrical engineering principles
NEXT STEPS
  • Study the calculation of capacitive reactance (Xc) in AC circuits
  • Learn about the implications of zero inductance in RLC circuits
  • Explore advanced applications of Kirchhoff's laws in circuit analysis
  • Investigate the relationship between rms voltage and peak voltage in AC circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying AC circuit analysis will benefit from this discussion.

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Homework Statement



The inductance is 0 in the RLC Circuit. the rms voltage across the genreator and the resistor are 45, and 24V. Wats the voltage across the capacitor?

Homework Equations



Vrms= Vmax/ Sq rt 2
V c = IX c ,

The Attempt at a Solution



V= I/R
I= V/R 24/45= 8/15A

C can be calculated since there's no F or L
 
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Recall the Kirchoff's voltage law. The voltage across all elements in a loop added is zero. Here there are only three elements ( generator, resistor and capacitor). The sum of voltages across them should be zero. You know voltage across two elements. Hence it is easily to calculate the voltage across C directly.
 

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