Determine voltage across and using voltage division rule.

Assume that

, , , and

Solution:

Please note that the voltage division rule cannot be directly applied. This is to say that:

The reason is that some current of is passing through and branch. If the branch was broken at some point, for example as:

we could apply the voltage division rule and say

But for the original circuit, the equation above is not correct. To solve the circuit using the voltage divider, we have to find the Thevenin equivalent of the colored circuit:

and are in series and their equivalent equals

and are parallel and their equivalent equals

So, the circuit is simplified to this level now:

And the voltage division rule can be applied directly:

Please note that is the voltage across and the series combination of and as shown below:

Now, we can use the voltage division rule to find and . We can ignore the rest of the circuit and assume that this portion is as:

and write:

thanks for this site

TANKS

Hi,

Thanks for this site. As this helps me solve Network Theorems circuits easily.

Where current

Erro why

Buz i=1A

Req= 20

Wait, so does this mean to find it would be:

If this were the case the answer would be 15/2?

No, this is not correct.

thank u very much i really enjor dis site.my question goes dos.plz if we hv lyk 10resistor.in.a circuit diagram dt dy are in series nd parallel.wt 10 volt.thats we hv five loop.the question nw say.using circuit diagram above,calculate.the value of current in 10k resistor.using thevenin theorem,norton thorem.kvl nd kcl.principle.replace d branch a,b,c,d.show dat d transfer resistance of d circuit remain d same.are we going to use circuit reductions fo it.thanks.nd i will be happy if u can help me to solved it wt any circuit dt have up to ten resistor.thank uGod bless

so nce