[[File:media/image1.emf|180x252px]]'''(a) Calculate the maximum EMF E''<sub>m</sub>'' and the maximum current ''I<sub>m</sub>'' in the RLC circuit described at right.'''

The “rms” = root-mean-square value of anything oscillating sinusoidally is its peak value divided by √2.

'''(b) Find the magnitude and sign of the phase '''' by which the driving EMF leads the current.'''

A negative phase means that the driving EMF ''lags'' the current … which is the case here? Does your answer make sense given the reactances you calculated earlier?

'''(c) Draw the <span class="underline">phasor diagram</span> for this circuit, giving <span class="underline">numerical values</span> for the lengths of each phasor (E, ''V<sub>R</sub>'', ''V<sub>C</sub>'', ''V<sub>L</sub>''). '''

Be sure to draw your diagram carefully: use longer phasors for larger peak voltages.

[[File:media/image1.emf|180x252px]]'''(d) What is the resonant frequency <sub>0</sub> of this circuit?'''

'''(e) Calculate the maximum energies ''U<sub>L</sub>''<sub>,max</sub> and ''U<sub>C</sub>''<sub>,max</sub> stored in the inductor and capacitor.'''

'''(f) Assume that the angular frequency  of the generator is variable. For what  is the total impedance ''Z'' equal to 2''R''?''' ''Hint- you will get a quadratic equation.''