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In a circuit, a resistor is only element that has resistance. The inductance = L

ID: 1799069 • Letter: I

Question

In a circuit, a resistor is only element that has resistance. The inductance = L H. The generator voltage varies in time as ?=?max?sin?t , where the amplitude of ?max= V1 volt and ?(emf frequency)= w1 Hz , which the max current is equal to the max current when the frequency of emf = w2 Hz, which is I1 A. In addition, when emf freq. is w3 Hz, the max current = I2 A

-Find the value of resistance and capacitance(R, C)
-Find the resonant frequency
-Find the max voltage across the resistor and capacitor when emf freq. = w3 Hz
-Find rms Power when emf freq. = w1 Hz and w3 Hz
-Find the amount of time passes btw the max energy(Uc) in capacitor and max energy stored in inductor(U L)

***Please show your work!

Explanation / Answer

R=emax+sinwt/I at any frequency C=1/2pifXc At any frequency the Capacitance is calculated b) Resosnant frequency= 1/sqrt. LC at any frequency c) voltage drop across resistor V=I2R and across capacitor Xc=1/2piw3C and V=IXc d) P= VI=V1+sinw1t.I P=VI=emax+sinw3t.I2 e)