Question

Experimental:

Freq (Hz)	VL+RL (V)	VR(V)	VC(V)
600	0.167	0.249	1.09
700	0.228	0.229	1.123
800	0.302	0.352	1.158
900	0.398	0.417	1.217
1000	0.504	0.481	1.263
1100	0.626	0.547	1.305
1200	0.763	0.613	1.342
1300	0.905	0.674	1.361
1400	1.042	0.723	1.356
1500	1.163	0.754	1.322
1600	1.261	0.768	1.246
1700	1.326	0.761	1.177
1800	1.363	0.741	1.081
1900	1.375	0.71	0.982
2000	1.375	0.675	0.887
2100	1.364	0.639	0.799
2200	1.348	0.603	0.721
2300	1.33	0.569	0.65
2400	1.311	0.538	0.589
2500	1.29	0.509	0.536
2600	1.271	0.483	0.488
2700	1.253	0.458	0.446
2800	1.237	0.437	0.41
2900	1.221	0.416	0.377
3000	1.207	0.398	0.349

Find maximum output voltage:

Vmax=Vo=VR= 0.768 V

To find VR at which the half power frequencies (f1,2) occur:

Vmax/2= 0.768/2= 0.543 V

Half power frequencies:

f1= 1,100 Hz

f2= 2,400 Hz

We know:

RL= 0.180 ohms

R=620 ohms

L=100mH

C=0.1 uF (.1*10^-6)

Use eqs. 1 &3 to determine the theoretical resonant frequency, the -3 dB frequencies, and the bandwidth. Compare with the experimental ones Since i-VR/R, the current i can be studied by studying the voltage across the resistor The current i has the expression where OC (2A) and (2B) The bandwidth of the series circuit is defined as the range of frequencies in which the amplitude of the current is equal to or greater than (1/^2-2/2 times its maximum amplitude, as shown in fig. 2. This yields the bandwidth PEEII-11I-4/11 Where O21 are called the half power frequencies or the 3 dB frequencies, i.e the frequencies at which the value of Im equals the maximum possible value divided by V2 1414

Answer 1

To tind 1) 3de foeauencies and Gien data hat Roceb seauencies fer &uoo H3 and aldo, R 680ル LC

13, 56a Ha 680 620 み369 Ha