Series or Parallel??

Electricity and Magnetism Level 2

If all the resistors in the circuit are of $2Ω$ , find the value of the equivalent resistance(in Ohms).

2 solutions

Saya Suka
Mar 23, 2021

1/R = 1/(2 + 2) + 1/2 + 1/(2 + 2)
= 1/4 + 1/2 + 1/4
= 1/1
R = 1 Ω

@Saya Suka How did you do that? My method was by potentials and the only unknown node at average voltage by symmetry.

Jason Gomez - 2 months, 3 weeks ago

I also did the same

Omek K - 2 months, 3 weeks ago

Shubhrajit Sadhukhan
Mar 24, 2021

Let the nodes be named as:

This is equivalent to:

So,

$\dfrac1{R_{AB}} = \textcolor{#3D99F6}{\dfrac14}+ \textcolor{#D61F06}{\dfrac12} + \color{#20A900}{\dfrac14}$

$R_{AB} = \boxed{1 Ω}$

_ (Sorry for the raster graphics) _