Help, RLC Circuit Problem - Peak Current At Resonance

AI Thread Summary
The resonant frequency of the RLC circuit is calculated to be 883 Hertz. The peak current at resonance, given a peak voltage of 100V, is determined to be 10 Amps. The peak current is derived using the formula I_peak = V_peak / Z_total, where Z_total represents the total impedance of the circuit. The impedance in this case is influenced by the values of the capacitor, inductor, and resistor. Understanding these calculations is crucial for analyzing RLC circuits effectively.
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Homework Statement



A 5 Micro-F Capacitor, a 65mH Inductor, and a 10 Ohm resistor are connected in series
Find the resonant frequency of this circuit.
Determine the peak current at resonance, if the peak voltage is 100V


Homework Equations



Fr = (1/2Pi) Square Root(1/LC)
I don't know the equation for Peak Current ... HELP!

The Attempt at a Solution



Resonant Frequency = 883 Hertz
Maximum Current = 10 Amps
 
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You should have calculated the peak current by doing:
I_{peak} = \frac{V_{peak}}{Z_{total}}
Where Z_total is the total impedance of the circuit.
 
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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