What is the voltage across the resistor?

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    Resistor Voltage
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Homework Help Overview

The problem involves a series circuit with given voltage amplitudes across various components, including a resistor, inductor, and capacitor. The original poster seeks to determine the voltage across the resistor based on these values.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of complex numbers and impedance in their calculations. Some express confusion regarding the instructions and the steps they are following. Questions arise about the reasoning behind the calculations and the interpretation of complex voltage values.

Discussion Status

The discussion is ongoing, with participants attempting to clarify their understanding of the problem and the methods being used. Some guidance has been offered regarding the consideration of complex values in the context of a series RLC circuit.

Contextual Notes

Participants note that the instructions provided for the problem are unclear, which may be impacting their ability to solve it effectively. There is also mention of this being the first encounter with the concepts involved.

JayLewis
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Homework Statement



The amplitude of the voltage across an entire series circuit is 17 V. The inductor alone has an amplitude of 30 V and across the capacitor it is 22 V. To the nearest tenth, what is the voltage across the resistor?


Homework Equations





The Attempt at a Solution



(17+8i)(17-8i)

289+64
square root of 353
18.8
 
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JayLewis said:

Homework Statement



The amplitude of the voltage across an entire series circuit is 17 V. The inductor alone has an amplitude of 30 V and across the capacitor it is 22 V. To the nearest tenth, what is the voltage across the resistor?


Homework Equations





The Attempt at a Solution



(17+8i)(17-8i)

289+64
square root of 353
18.8

Hello JayLewis, Welcome to Physics Forums.

Can you explain the reasoning behind your attempt?
 
I was trying to follow steps from handout

I was trying to follow steps from handout..this is the first time we have worked onthis and I don't understand it.
 
Okay. I see that you're making use of complex numbers, so I assume that you're familiar with (or at least learning about) the concept of complex impedance and voltage and current. Is that right?
 
we are learning about it now

but the instructions aren't very clear

here is the rest of my work:

374-510i
_________
484+900

374-510i
_________
1384

.27-.37i
.07+.14
.21
 
JayLewis said:
but the instructions aren't very clear

here is the rest of my work:

374-510i
_________
484+900

374-510i
_________
1384

.27-.37i
.07+.14
.21
It's difficult to comment on your work since it's not annotated. What is it you're doing here?

If I may make a suggestion, suppose you consider the series RLC circuit being driven by a fixed AC current source. What would be the complex values of the potentials across the capacitor and inductor?
 

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