Calculating Resistance in RLC Series Circuit

Explanation:

Ohm's Law: V = I * R

Impedance Formula in RLC Circuit: Z = sqrt(R^2 + (Xl - Xc)^2)

To calculate the resistance needed to draw 0.40 Amp from a 120-V, 60-Hz line in the RLC series circuit consisting of a 10-H coil and a 0.75-uF capacitor, we can use Ohm's Law (V = I * R) and the formula for impedance in an RLC circuit (Z = sqrt(R^2 + (Xl - Xc)^2)).

First, we need to calculate the reactances of the inductor (Xl) and the capacitor (Xc) using the formulas Xl = 2 * pi * f * L and Xc = 1 / (2 * pi * f * C), where f is the frequency, L is the inductance, and C is the capacitance.

Then, we can substitute the values of the reactances, the voltage (V = 120 V), and the desired current (I = 0.40 A) into the equation V = I * Z to solve for the resistance (R).