Problem: Consider a series RLC circuit. The applied voltage has amaximum value of 120 V and oscillates at a frequency of 81Hz.
Part a: assume the circuit contains a variable capacitor, an 820ohm resistor, and a 3.7 H inductor. Determine the value of thecapacitor such that the voltage across the capacitor is out ofphase with the applied voltage by 54 degree.
Part b: assume the circuit contains a variable inductor, an 820 ohmresistor, and a 1.5 microfarad capacitor. Determine the value ofthe inductance such that the voltage across the capacitor is out ofphase with the applied voltage by 48 degree, which V(max) leadingV(c).
Since they are kind of similar, I will just put what I thought Iwas supposed to do for part a:
using tan(theta) = (Xc - Xl)/R; I solved for the capacitance. Thisdidn't come out correctly, and I tried it many ways, so I amassuming this is the wrong formula. Can you help me please?
Problem: Consider a series RLC circuit. The applied voltage has amaximum value of 120 V and oscillates at a frequency of 81Hz.
Part a: assume the circuit contains a variable capacitor, an 820ohm resistor, and a 3.7 H inductor. Determine the value of thecapacitor such that the voltage across the capacitor is out ofphase with the applied voltage by 54 degree.
Part b: assume the circuit contains a variable inductor, an 820 ohmresistor, and a 1.5 microfarad capacitor. Determine the value ofthe inductance such that the voltage across the capacitor is out ofphase with the applied voltage by 48 degree, which V(max) leadingV(c).
Since they are kind of similar, I will just put what I thought Iwas supposed to do for part a:
using tan(theta) = (Xc - Xl)/R; I solved for the capacitance. Thisdidn't come out correctly, and I tried it many ways, so I amassuming this is the wrong formula. Can you help me please?
