Electrical Engineering - Branch, Loop and Node Analyses - Discussion

Discussion Forum : Branch, Loop and Node Analyses - General Questions (Q.No. 1)
Find the node voltage VA.

6 V
12 V
4.25 V
3 V
Answer: Option
No answer description is available. Let's discuss.
39 comments Page 1 of 4.

Sharathkumar said:   1 year ago
((Va-12)/49) + (Va/24) + (Va-6)/80))=0
((24Va-288 + 49Va)/1176) + (Va-6)/80))=0
1920Va-2340 + 3920Va + 1176Va-7056=0
7016Va-30096 =0,
7016Va = 30096,
Va = 30096/7016,
= 4.28.

Vishal P said:   4 years ago
It's simple.

According to the KCL summation of all the currents in the circuit is zero. That only is applied here.

Saurav said:   7 years ago
Can anyone teach me all the network theorem node analysis?

Rj naveed said:   7 years ago
Node analysis can be solved by Kirchhoff's 1st law mean sum of all current toward junction or away from junction is equal to zero.

Neeraj said:   6 years ago
At node vA we can see that Tge current i3 is leaving so the eq must be like,
i1 + i2 - i3 = 0.
(12 - vA)/49 + (6-vA)/80-VA/24 = 0,
Va = 4.2V.

Shanawaz said:   6 years ago
Here, we can apply superposition theorem to get the solution.

Vikas kumar said:   6 years ago
4.289 volt is the right answer.

Tima said:   6 years ago
What are nodes? Please explain me.

Prosper said:   6 years ago
Current flowing through the 49ohms resistor is equal to the sum of current flowing through the 24ohms and 80ohms resistor. eg. I49 = I80 + I24.

Where I49 = (12-VA)/49,
I80 =(VA-6)/80,
I24 = VA/24,
This will give an answer of 2.2945.

PRIYANKA said:   6 years ago
According to Kirchofs current law.

Total incoming currents= total outgoing currents.
((12-VA) /49) + ( (6-VA) /80) = (VA/24).

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