RLC Circuit Oscillations: Understanding the Impact of Capacitance, Inductance, and Attenuation

Capacitance (C) affects the frequency of oscillations in the RLC circuit. As C increases, the frequency of oscillations decreases. This is because a larger capacitor takes longer to charge and discharge, resulting in a slower oscillation.

Inductance (L) also affects the frequency of oscillations in the RLC circuit. As L increases, the frequency of oscillations decreases. This is because a larger inductor resists changes in current, resulting in a slower oscillation.

Attenuation (alpha) affects the amplitude of oscillations in the RLC circuit. As alpha increases, the amplitude of oscillations decreases faster. This is because a higher attenuation means that energy is lost more quickly due to resistance in the circuit.

The MATLAB code provided calculates the natural frequency of oscillations (w0), the damping ratio (zeta), and the damped frequency (w_d) based on the values of capacitance, inductance, and attenuation. It also calculates the voltage across the capacitor (vc) as a function of time (t) and the initial conditions (A1 and A2).

zeta=alpha/w0;
w_d=w0*sqrt(1-zeta^2);
vc=(A1*cos(w_d*t)+A2*sin(w_d*t)).*exp(-alpha*t)+282/97;```