Capacitor and Inductor?
Find the frequency at which a 35 uf capacitor has the same reactance as a 34 mH inductor in Hz.
What is the resonance frequency of an LC circuit made with this inductor and capacitor?
Find the frequency at which a 35 uf capacitor has the same reactance as a 34 mH inductor in Hz.
What is the resonance frequency of an LC circuit made with this inductor and capacitor?
Pearlsawme
Favorite Answer
Xc = 1/ 2πfC
XL= 2πfL
1/ 2πfC = 2πfL
f=1/ 2π√ LC
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f=1/ 2π√ 35e-6*34e-3 = 146 Hz.
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The resonance effect occurs when inductive and capacitive reactances are equal in absolute value. (Notice that the LC circuit does not, by itself, resonate. The word resonance refers to a class of phenomena in which a small driving perturbation gives rise to a large effect in the system. The LC circuit must be driven, for example by an AC power supply, for resonance to occur (below).) The frequency at which this equality holds for the particular circuit is called the resonant frequency. The resonant frequency of the LC circuit is
f=1/ 2π√ LC
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i think that the substitution is actual, yet no longer literal - as an occasion in op amp filters a comments inductor is the comparable as a feed in capacitor, etc. in keeping with risk at a undeniable frequency a capacitor will seem the comparable as an inductor in a circuit, besides the fact that if it variety of feels impossible to for a capacitor to replace an inductor for the duration of all frequencies. nonetheless, i'm nevertheless an undergrad, and in keeping with risk in some thing like a dc oscillator, it might desire to be performed.
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33 Mh Inductor