Equivalent Resistance of Infinite Number of Resistors

Electricity and Magnetism Level 1

Is there any way to combine an infinite number of resistors each with 1 Ω 1\Omega resistance such that the equivalent resistance of the combination is 2 Ω 2\Omega ?

Yes No

Muhammad Rasel Parvej by Muhammad Rasel Parvej , 27, Bangladesh

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Steven Chase
Jan 1, 2018

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Another possible way, 1 + 1 + 1 / i n f i n i t y 1+1+1/infinity

Muhammad Rasel Parvej - 3 years, 5 months ago

Log in to reply

Indeed, that's true

Steven Chase - 3 years, 5 months ago

Which software did you use to draw, please?

Muhammad Rasel Parvej - 3 years, 5 months ago

Log in to reply

Microsoft Paint

Steven Chase - 3 years, 5 months ago

Hint :

1 + 1 2 + 1 4 + … … … = 2 1+\frac{1}{2}+\frac{1}{4}+ \ldots \ldots \ldots = 2 .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...