Find the Thevenin impedance at terminals a-b of the circuit on the right.
Find the Thevenin impedance at terminals a-b of the circuit on the right.
Solution
Step 1 Make all sources to be zero so voltage source becomes short circuit
and R is parallel to C and the combination of R and C is in series with L
R parallel to C = R/(RCs+1)
Now this is in series with L
Z th = R/(RCs+1) +Ls
Z th = (R+RLCs 2 +Ls)/(RCs+1)
Putting the values of RLC
Z th = [1+(1*1*1(jw) 2 +1*jw]/(1*1*jw+1
Here w=1 and j 2 =-1
Z th = [1-1+j]/(j+1)
Z th = j/(j+1) or (j+1)/2
.
Find the Thevenin impedance at terminals a-b of the circuit on the rig.docx
1. Find the Thevenin impedance at terminals a-b of the circuit on the right.
Find the Thevenin impedance at terminals a-b of the circuit on the right.
Solution
Step 1 Make all sources to be zero so voltage source becomes short circuit
and R is parallel to C and the combination of R and C is in series with L
R parallel to C = R/(RCs+1)
Now this is in series with L
Z th = R/(RCs+1) +Ls
Z th = (R+RLCs 2
+Ls)/(RCs+1)
Putting the values of RLC
Z th = [1+(1*1*1(jw) 2
+1*jw]/(1*1*jw+1
Here w=1 and j 2
=-1
Z th = [1-1+j]/(j+1)
Z th = j/(j+1) or (j+1)/2
![Find the Thevenin impedance at terminals a-b of the circuit on the right.
Find the Thevenin impedance at terminals a-b of the circuit on the right.
Solution
Step 1 Make all sources to be zero so voltage source becomes short circuit
and R is parallel to C and the combination of R and C is in series with L
R parallel to C = R/(RCs+1)
Now this is in series with L
Z th = R/(RCs+1) +Ls
Z th = (R+RLCs 2
+Ls)/(RCs+1)
Putting the values of RLC
Z th = [1+(1*1*1(jw) 2
+1*jw]/(1*1*jw+1
Here w=1 and j 2
=-1
Z th = [1-1+j]/(j+1)
Z th = j/(j+1) or (j+1)/2](https://image.slidesharecdn.com/findthetheveninimpedanceatterminalsa-bofthecircuitontherig-230127055922-0a35282f/85/Find-the-Thevenin-impedance-at-terminals-a-b-of-the-circuit-on-the-rig-docx-1-320.jpg)
