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

AI Thread Summary
In a series RLC circuit, the maximum voltage across the inductor occurs at the resonance frequency, where the current is also at its peak. The voltage across the inductor and capacitor are equal in magnitude but 180 degrees out of phase. To determine the exact frequency for maximum voltage, one must derive the current equation in relation to frequency. The discussion emphasizes the need for relevant equations to clarify the relationship between current, voltage, and frequency in the circuit. Understanding these relationships is crucial for solving the problem effectively.
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
 
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