Frequency of Generator + V of Capacitor

Click For Summary
SUMMARY

The discussion focuses on the relationship between the current and voltage in a capacitor connected to an 8.6 Hz generator. It establishes that if the current reaches its maximum at t=0, the voltage across the capacitor will reach its maximum later due to the phase difference inherent in capacitive circuits. Specifically, for a sinusoidal waveform, the voltage can be expressed as V*cos(2*pi*8.6*t), indicating that the voltage lags the current by 90 degrees in a capacitor. Understanding this phase relationship is crucial for solving problems involving AC circuits.

PREREQUISITES
  • Understanding of sinusoidal waveforms and their mathematical representation
  • Knowledge of capacitive reactance and its impact on AC circuits
  • Familiarity with the concept of phase difference in alternating current
  • Basic principles of LC circuits and oscillations
NEXT STEPS
  • Study the mathematical representation of sinusoidal waveforms in AC circuits
  • Learn about capacitive reactance and its role in phase relationships
  • Research the concept of phase shift in AC circuits, specifically for capacitors
  • Explore the behavior of LC circuits under different frequency conditions
USEFUL FOR

Electrical engineers, physics students, and anyone involved in the analysis of AC circuits, particularly those working with capacitors and generators.

kmj9k
Messages
15
Reaction score
0
1. A 8.6 Hz generator is connected to a capacitor. If the current in the generator has its maximum value at t=0 s, what is the earliest possible time that the voltage magnitude across the capacitor is at a maximum?



2. I'm actually not sure which equations are relevant for this problem!



3. I'm afraid I don't understand the concepts behind this problem. I read in my book about oscillations in an LC circuit with no generator, but then I don't understand how this can be applied when there *is* a generator with its own frequency. Any help would be appreciated!
 
Physics news on Phys.org
It depends on the waveform of the generator. If we assume sinusoidal then the voltage from the generator is V*cos(2*pi*8.6*t) which has its maximum V when t=0 as required. Find the formula that tells you how a capacitor charges and you're halfway there.
 
Mentz114 said:
It depends on the waveform of the generator. If we assume sinusoidal then the voltage from the generator is V*cos(2*pi*8.6*t) which has its maximum V when t=0 as required.

Except the problem statement says that the current is max at t=0, not the voltage. kmj9k, what is the relationship between voltage and current in a capacitor? Assume a sinusoidal waveform along the lines of what Mentz suggested...will the current lead or lag the voltage in a capacitor?
 

Similar threads

Signal Generator, Oscilloscope and Capacitor
  • · Replies 4 ·
Replies
4
Views
2K
Changing capacitance effect on ripple in full rectification circuit
  • · Replies 4 ·
Replies
4
Views
3K
Determining Inductance L in an LC Circuit
  • · Replies 5 ·
Replies
5
Views
2K
Finding charge on a capacitor given potential difference across two points
  • · Replies 4 ·
Replies
4
Views
2K
Solve LC and LRC Circuits Kirchhoff's Rule Problem
  • · Replies 3 ·
Replies
3
Views
2K
Maximum and minimum values of a variable capacitor
  • · Replies 2 ·
Replies
2
Views
5K
How to Determine Values of L and C in a Series RLC Circuit at Resonance?
  • · Replies 8 ·
Replies
8
Views
2K
Material between capacitor plates - viewed as two capacitors in series
  • · Replies 3 ·
Replies
3
Views
2K
Maximum energy stored in a capacitor? RLC circuit
  • · Replies 3 ·
Replies
3
Views
5K
Generate sine wave with signal generator on scope
  • · Replies 1 ·
Replies
1
Views
2K