Determining Tension Drop Over a Capacitor with AC Components

In summary, the original question is about determining the tension drop over a capacitor in a circuit with AC, where R-C components are used. The solution provided uses components of V in sin and cos for the voltage of the capacitor, but the question is raised as to why it is not squared and then square rooted using Pythagoras. The link to the solution is provided, and it is mentioned that the use of squared and square root may depend on the specific circuit and component values. It is also clarified that Tex cannot be used in this forum, but alternatives such as LaTeX and MathJax can be used to display equations.
  • #1
georg gill
153
6

Homework Statement



ac with R-C coponents. Determine the tensiondrop over a capacitor in a circuit with ac.

Homework Equations






The Attempt at a Solution


In the solution they use components of the V in sin and cos for the V of the capacitor but should it not be squared and then the root of this with pytagoras (why not). That is my first question. The answermanual is here: Assignment 1c. It is in norwegian but all the equations are written in a box at the right side:

https://acrobat.com/app.html#d=W3h1pqqmXEl5PVT80Y5RGg

And is it possible to use tex here?
 
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  • #2


Dear fellow scientist,

Thank you for your question and for sharing the link to your assignment. I am happy to help clarify the solution for you.

Firstly, regarding your question about using squared and square root in the solution, it depends on the specific circuit and the values of the components involved. In some cases, using squared and square root may be necessary, but in others, it may not be needed. It ultimately depends on the mathematical relationships and equations involved in the circuit analysis.

Regarding your second question about using Tex, unfortunately, it is not possible to use Tex in this forum. However, you can use LaTeX to type your equations and then take a screenshot or use a tool like MathJax to convert them into a format that can be displayed here.

I hope this helps clarify your doubts. If you have any further questions, please don't hesitate to ask.
 

Related to Determining Tension Drop Over a Capacitor with AC Components

1. How do you determine the tension drop over a capacitor with AC components?

To determine the tension drop over a capacitor with AC components, you can use the formula V = I * Xc, where V is the voltage drop, I is the current, and Xc is the capacitive reactance. Xc can be calculated using the formula Xc = 1/(2πfC), where f is the frequency and C is the capacitance.

2. What is the purpose of determining tension drop over a capacitor with AC components?

The purpose of determining the tension drop over a capacitor with AC components is to understand how the capacitor behaves in an AC circuit. This can help in designing and analyzing circuits involving capacitors, such as filters and power supplies.

3. What factors affect the tension drop over a capacitor with AC components?

The tension drop over a capacitor with AC components is affected by the frequency of the AC signal, the capacitance of the capacitor, and the current flowing through the circuit. The type of material used for the capacitor and the temperature can also have an impact.

4. How does the tension drop over a capacitor with AC components differ from that of a DC circuit?

In a DC circuit, the tension drop over a capacitor is determined by the voltage source and the capacitance value. In an AC circuit, the tension drop also depends on the frequency of the AC signal and the capacitive reactance, which is inversely proportional to the frequency. This means that the tension drop over a capacitor in an AC circuit can vary with the frequency.

5. Can the tension drop over a capacitor with AC components be measured directly?

No, the tension drop over a capacitor with AC components cannot be measured directly. It can be calculated using the aforementioned formulas. However, the voltage drop across the capacitor can be measured using a voltmeter, and the current can be measured using an ammeter, which can then be used to calculate the tension drop over the capacitor.

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