Final answer:
Two-value capacitor motors are known as capacitor-start capacitor-run or dual capacitor motors. To calculate the RC time constants for given capacitors and resistors, the equivalent capacitance and resistance for series and parallel connections need to be found first, then multiplied together (RC) for each configuration.
Step-by-step explanation:
Two-value capacitor motors are also commonly known as capacitor-start capacitor-run motors or dual capacitor motors. These motors utilize both a start and run capacitor to improve motor performance for starting and running respectively. The start capacitor provides a high starting torque, and the run capacitor provides better efficiency and power factor once the motor is running. The RC time constant is the product of resistance (R) and capacitance (C) and determines the charging and discharging rate of a capacitor in an RC circuit. To calculate the RC time constants for the provided capacitors and resistors connected in series, we need to first find the equivalent capacitance and resistance for both series and parallel connections. For the capacitors connected in series, the total capacitance (Cseries) is given by the formula: 1/Cseries = 1/C1 + 1/C2 Where C1 is 2.00 µF and C2 is 7.50 µF. For the capacitors connected in parallel, the total capacitance (Cparallel) is simply: Cparallel = C1 + C2 For the resistors: The total resistance (Rseries) for resistors in series is: Rseries = R1 + R2 Where R1 is 25.0 kΩ and R2 is 100 kΩ. The total resistance (Rparallel) for resistors in parallel is found using: 1/Rparallel = 1/R1 + 1/R2 From these, we can calculate the four possible RC time constants resulting from these connections. They give us an idea of how quickly a capacitor in the circuit can charge or discharge through the resistor it's series connected with.