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A parallel LRC circuit connected across a variable AC voltage source $V = V_0\sin(\omega t)$ is drawn above. Find (in terms of $L, R, C, V_0, \omega$ and any quantities you define in terms of these such as $\chi_L$ or $\chi_c$):

a) The current $I_{L,R,C}(t)$ in each element of the circuit. Don't forget the phase shifts (if any), and note that we are getting current from voltage - be careful!

b) Now find the current $I(t)$ in the primary supply wire (as shown in the figure above) with all terms, e.g. any required phase $\delta$, and the impedance $Z$ defined and (at the end) numerically evaluated. You will probably need to draw the appropriate phasor diagram to help you figure this out unless you managed to memorize the entire $LRC$ circuit chapter results.