# Homework Help: Network Theory Problem do help !

1. Feb 16, 2012

1. The problem statement, all variables and given/known data
Va - Vb = 6 Volts
Calculate Vc - Vd = ?
The circuit diagram is shown below :-

All resistances are equal to "R" as shown in fig. except for 1 ohm and 2 ohm resisters.
Two voltage sources 10V and 5V are given and a current source in parallel to 1 ohm resistor.

2. Relevant equations

3. The attempt at a solution:
I thought of using KCl and nodal analysis method but the equations became quite complex.
Though i thought that the current flowing through 2 ohm resistor will be equal to current flowing in branch connecting Vc and Vd that will be 3 ampere using KCL.
Thus using kcl at node "M" current through 1 ohm resistor will be 5 ampere and thus voltage drop equals "5 volts = Vd - Vc". Therefore Vc - Vd equals -5 volts.

Am i doing it right and is there any other method to solve this question ?

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2. Feb 16, 2012

### Staff: Mentor

Your reasoning and results are both correct. Well done.

3. Feb 16, 2012