AC Circuit (0528)

AC Circuit

We derived the formula of V_rms= sqrt (V_max)

This is our set up

The sinusoidal wave function of potential and current with respect to time.

AC Circuit

In the circuit that only has the capacitance in series with the voltage source. I=C*dV/dt. Since V equals to sinusoidal function, we expect I to have cosine function with bigger amplitude (assuming wt>1)

Here is a simple problem we were assigned to do. Our job is to find X_c= 1/(wc). X_c, interestingly, has the unit ohm as resistance

We set up the resistor is 100 omh and voltage is 2V, and use the graph to find the V_max and I _max and use the equation V_max=square root 2 *V_rms, and I_max= square root 2*I_rms. to find the V_rms and I_rms.  and use 2V and 100omh to find the theoretical V_rms and I_rms and find the error of them.

After several trials. We found I_rms and V_rms for both theoretical and experimental

We were given a practice exercise. For this problem, we had to find reactant and I_rms. 

Here is our calculation for activity inductors in AC currents.