Determining the maximum or minimum impedance of a special parallel RLC circuit without calculus

We show that the maximum or minimum impedance of a special parallel RLC studied in a previous paper can be found analytically, without using calculus. In fact, we show that the maximum or minimum value occurs when the driving frequency is equal to o 1/ LC , a fact that was determined graphically in that previous paper. Furthermore, we show that either the maximum or minimum value is given by R 2 2 1 3 , where L C R / / . Also, for the minimum impedance Z R R min 1 2 /3 3 /3, 2 whereas for the maximum impedanceZ R R max 1 2 / .