Voltage and current calculation for this circuit are based on Ohms Law. Our basic expressions are:

    ;      ;      ;

Since this is a series circuit, the value of "i" in each expression is the same. That is

and we can use i as our reference value for our calculations. We will also need to know the value of ω (= 2πf) to determine X_L and X_C.             For f = 10 Hz,

Now we can complete our calculations, starting with X_L, X_C, and Z:

Allowing for calculator round-off errors through all these calculations, the total voltage V is exactly 100 volts, which is what we initially specified. Therefore our calculations check out and our results are valid.