Electric circuit analysis problem help?

[Questions999]

We have the circuit that I have attached in the figure.I have to find i1 i2 and V.
SO I firt find i1.
I find the equivalent resistance ( I am not writing it all here because it takes too long) and Re=10 Ohm.So i1 =V/Re=10 A.
I thought that to find i2 and V I had to use the current division principle and tension division principle hence :
V=[2/(4+2)]*100 V
and i2=[4/(4+24)]*10 A... what am I doing wrong?

 

[CWatters]

V=[2/(4+2)]*100 v

Thats wrong. The 2/(4+2) is the right idea but the voltage at the top of the 12 Ohm resistor isn't 100v. There are several potential dividers in a row. You have skipped a few.

First you have to work out the voltage at the top of the 24 Ohm resistor. From your earlier working out of Ii you will know that the Re at that point is 6 Ohms. eg...

(((2+4)//12)+4)//24 = 6

So the voltage on the 24Ohm is...

100 * 6/(6+4) = 60V

Repeat the process to find the voltage on the 12 Ohm Resistor.

Then repeat the process again to find the voltage on the 2 Ohm Resistor.

 

[CWatters]

Once you have calculated the voltage on the 24 ohm resistor the current i2 is easy.

 

[Questions999]

I love you.

 

[Nickie]

Hello,

Thank you for providing the circuit and your attempt at solving the problem. I can see that you have correctly found the equivalent resistance and the value of i1. However, your approach for finding i2 and V using the current division and voltage division principles is not entirely accurate.

To find i2, we can use Ohm's Law, which states that current is equal to voltage divided by resistance. In this case, the resistance in the branch containing i2 is 24 ohms, so we can write i2 = V/24. To find V, we can use Kirchhoff's Voltage Law, which states that the sum of all voltages in a closed loop is equal to zero. Starting from the top left corner and moving clockwise, we have V - 100V - i2*24 = 0. Substituting the value of i2, we get V - 100V - (V/24)*24 = 0. Solving this equation, we get V = 80V.

Therefore, we have i1 = 10A, i2 = 80/24 = 3.33A, and V = 80V.

I hope this helps. Remember to always check your equations and use the appropriate laws and principles when solving circuit analysis problems. Good luck!