# Homework Help: Calculate the resistance in the circuit

1. Dec 22, 2017

### Basel H

1. The problem statement, all variables and given/known data
All resistors are $R = 10 \Omega$

2. Relevant equations
Calculate the total Resistance

3. The attempt at a solution
all resistors are parallel, so
$$\dfrac{1}{R_{AB}} = \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R} + \dfrac{1}{R}$$
$R_{AB} = \dfrac{R}{6}$

2. Dec 22, 2017

### CWatters

Why do you think they are all in parallel? They arent, for example R2 and R3 are in series.

Hint: The circuit has some symmetry. If you applied a voltage to AB what would be the voltage across R6?

3. Dec 22, 2017

### cnh1995

Look up 'balanced Wheatstone bridge'.

4. Dec 22, 2017

### phinds

As has already been pointed out, this is incorrect. I strongly suggest that you review, several times, the definitions of serial and parallel. Until you have those down cold, you will continue to have problems with circuit analysis.

5. Dec 23, 2017