What Is the Frequency of Oscillation in a Series RLC Circuit?

AI Thread Summary
The discussion focuses on calculating the frequency of oscillation in a series RLC circuit with a resistance of 100 ohms, a capacitor of 0.1 microfarads, and an inductance of 10 millihenries. The formula for frequency is correctly identified as f = 1 / (2 * pi * sqrt(LC)). To find the current at resonance, it is noted that at resonance, the inductive and capacitive reactances cancel each other out, leaving only resistance. However, the current cannot be calculated without knowing the voltage (V) applied to the circuit. The conversation emphasizes the need for the voltage value to determine the current at resonance accurately.
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Homework Statement


A resistance of 100 ohm is connected in series with capacitor 0.1 microF and an inductance 10 mH. find the frequency of oscillation and value of current at resonance?


Homework Equations



f= 1 / 2*pi*sqrt(LC)

The Attempt at a Solution


i think the formula i use for frequency of oscillation is correct. but how do i find the value of current at resonance. will it be I= V/R. because it resonance Xl=Xc so they cancel each other so the circuit will be purely resistance. kindly suggest.
 
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You are correct in your thinking, however the problem as you stated it doesn't say what V is, so you cannot find the current.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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