How Does Resonance Affect Voltage Across an Inductor?

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Resonance in an inductor affects voltage by determining the relationship between inductance and capacitance. The resonant frequency can be calculated using the formula w = 1/(LC)^(1/2), which leads to finding capacitance through manipulation of the equation. Understanding impedance and reactance is crucial, as they relate to how resistance varies with frequency. The discussion emphasizes the importance of grasping these concepts to solve related problems effectively. Mastering these principles will aid in tackling coursework questions on resonance and its implications.
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voltage across inductance ??

having real problems with this one, I think i got the 1st pat using w=1/(lc)^1/2


Can someone help me please?
 

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i) That formula gives the resonant frequency in radians per second, how do you get the capacitance out of it?

Have you had a go at ii) and iii)?
 


i got the capacitance by manipulating the equation angular frequency=1/root(inductance x capacitance)
although I am not sure if its the correct equation.

also i couldn't even make a decent effort at (ii)and (iii) i don't even no where to begin.

if you could give me an outline of how to do it ..that would be great
 


In your coursework have you covered either impedance or reactance? What do you know about them?
 


i) That equation looks good. Can you do the algebra and put the numbers into get a value of capacitance?

ii) An inductor or a capacitor can both be considered as having a resistance which changes depending on the frequency of the source. As gneill commented, if you are unfamiliar with either reactance or impedance, this part of the question may be difficult for you.

Also, since the first part was about resonance, can you think of how resonance might help you?
 

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