Question

So I am trying to find the currents 1 2 and 3... but I am kind of unsure if I am doing this right.

I am using Kirchhoff's Current and Loop Laws to find the current across each resistor.

The laws are:

(1) \(\sf EMF_1\) - \(\sf I_1R_1 +I_2R_2 -EMF_2 =0\)

(II) \(\sf EMF_2 - I_2R_2 -I_3R_3 = 0\)

(III) \(\sf EMF_1 -I_1R_1 -I_3R_3 =0\)

Answer 1

physics question

Answer 2

I am trying to find the current through each wire, and so far I have

\[\sf EMF_2 -I_2R_2 -I_3R_3 = 0\]\[\sf I_2 = \frac{-I_3R_3+EMF_2}{R_2}\]

Answer 3

More math related.

Answer 4

And \(\sf EMF_1 -I_1R_1+I_2R_2 -EMF_2 = 0\) therefore

\[\sf I_1 = \frac{I_2R_2 - EMF_2 +EMF_1}{R_1}\]

Answer 5

Now I know current 3, \(\sf I_3\) is found by....
\[\sf I_1 +I_2 = I_3\]\[\sf I_3 = \frac{-I_3R_3+EMF_2}{R_2} +\frac{I_2R_2-EMF_2 +EMF_1}{R_1}\]

Answer 6

I'm just having problems simplifying this fraction :(

Answer 7

any circuit diagram??

Answer 8

Oh yeah, I will draw it. One minute.

Answer 9

Given values: \(\sf R_1: 220 ~ohm ~,~ R_2 = 330~ ohm~,~ R_3 = 390 ~ ohm \)

\(\sf V_1 = 9 ~V ~,~ V_2 = 12 ~V\)

Answer 10

there are two ways to do this ques..one is long..i.e. circuit loop and the other one.. is assume a zero volt battery with R3 and combine them all

Answer 11

Please here are the equations:
\[\begin{gathered}
{V_1} - {V_2} = {R_1}{I_1} - {R_2}{I_2} \hfill \\
{V_2} = {R_2}{I_2} + {R_3}{I_3} \hfill \\
\end{gathered} \]