6-14. Figure P6-1 shows a simple circuit consisting of a voltage source, two resistors, an...

6-14. Figure P6-1 shows a simple circuit consisting of a voltage source, two resistors, and two reactances in parallel with each other. If the resistor R₁ is allowed to vary but all the other components are constant, at what value of R₁ will the maximum possible power be supplied to it? Prove your answer. (Hint: Derive an expression for load power in terms of V, R_S, X_S, R_L and X_L and take the partial derivative of that expression with respect to R_L.) Use this result to derive the expression for the pullout torque [Equation (6-54)].