Question

a resistance r and a 4.7 h inductance are in series across a 60-hz ac voltage. the voltage across the resistor is 34 v and the voltage across the inductor is 36 v. assume that all voltages in this problem are rms voltages. (a) what is the resistance r?

Answer 1

The resistance in the circuit can be calculated using the impedance formula and the given voltages.

Step-by-step explanation:

The impedance (Z) of a series circuit can be calculated using the formula:

Z = sqrt(R^2 + (Xl - Xc)^2)

Given that the voltage across the resistor (VR) is 34V and the voltage across the inductor (VL) is 36V, we can determine the impedance as follows:

34 = sqrt(R^2 + (Xl - Xc)^2)

36^2 = R^2 + (Xl - Xc)^2

Solving these equations will give us the value of R, which represents the resistance in the circuit.