Maximum Voltage Across Inductor in Series RLC Circuit Occurs at Which Frequency?

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Homework Help Overview

The discussion revolves around determining the frequency at which the maximum voltage occurs across the inductor in a series RLC circuit. Participants are exploring the relationship between resonance frequency and voltage behavior in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning whether the maximum voltage across the inductor occurs at resonance frequency or at frequencies slightly above or below it. There are attempts to clarify the role of relevant equations in understanding this relationship.

Discussion Status

Some participants are providing guidance on structuring the problem by emphasizing the importance of listing relevant equations. Others are seeking clarification on the implications of phase relationships between the voltages across the inductor and capacitor.

Contextual Notes

There is mention of needing an equation for current in terms of frequency and how to calculate the current when connected to a variable frequency AC generator. The discussion also highlights the challenge of deriving the maximum voltage across the inductor from the current flowing through it.

anand raj
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Homework Statement


in series rlc circuit maximum voltage across inductor occurs at which frequency?

Homework Equations


The Attempt at a Solution


In the series rlc circuit current through the inductor is maximum at the resonance frequency.
But I don't know whether at resonance frequency maximum voltage occurs or not or it occurs at below or above resonance frequeny
 
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The equations you will fill in under 2 will actually help you give the right answer.
 
@BvU,
Can you explain in a better way
hate_zps42e29581.jpg

what did you mean by putting in 2?
 
You make a list of relevant equations under "2. Homework Equations ".
The you show what you do with them under 3. Attempt at a solution.

That way you enable people who want to help you to give you the right assistance.
 
RLC circuit

@BvU
Since the voltage across inductor is equal to the voltage across the capacitor in magnitude, but out of phase by 180 degrees,
jwl*i = -(j/(wc))*i
Here i = current, w = frequency, c = capacitor and l = inductor
Does the maximum voltage across inductor occurs slightly below resonant frequency or or slightly above resonant frequency or at resonant frequency?
From my equation, I am unable to get the answer.
 
anand raj said:
@BvU
Since the voltage across inductor is equal to the voltage across the capacitor in magnitude, but out of phase by 180 degrees,
jwl*i = -(j/(wc))*i
Here i = current, w = frequency, c = capacitor and l = inductor
Does the maximum voltage across inductor occurs slightly below resonant frequency or or slightly above resonant frequency or at resonant frequency?
From my equation, I am unable to get the answer.

You need an equation for the current in terms of frequency.

If you connect a variable frequency AC generator to a series RLC circuit of emf Ug how do you calculate the current, and at what frequency is the current maximum?

How do you get the voltage across the inductor if you know the current flowing through it? ehild
 
Last edited:

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