Question

In an LC circuit, the angular frequency is ω = √1/LC . Explain why an LC...

In an LC circuit, the angular frequency is ω = √1/LC . Explain why an LC circuit with a larger inductance or a larger capacitance will oscillate more slowly (NOT more rapidly) . Make your explanation based on physics, not mathematics.

Please do not give me the answer already posted.

Homework Answers

Answer #1

in LC circuit
w = 1/sqrt(LC)
so increasing L or C values ( inductance or capacitance) will decrease w and hence decrease the frequency with whcich the system oscilated and hence increase the time period of osscilations
hence the wywtem osscilates more slowly

in terms of physics
greater value of inductance implies that all the charge stored on the capacitor, when has to move across inductor as current
now, greater the value of inductance, greater is the resistance faced by the charge to move as current through the inductor. this increased resistance causes the charge to jump from one plate of the capacitor to another slowly and hence we have slower osscilations

if C (Capacitance ) is increase, there is more charge for the capacitance to move from one plate to another which will take more time and hence slower osscilations

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