Question

Equivalent resistance across A and B??? Please give proper explanation also...

Answer 1

Heya friend!!
Rajdeep here....

If you need to find the equivalent resistance across A and B,
first notice that there are two paths by which current can flow from point A to B.

The first path is via AOB.
The second path is via ARB (The path through the quadrant).

Hence, the connection is in parallel (since there are more than one paths).
So, resistances in path AOB = R + R = 2R
Resistances in path ARB = R (only one resistance).

So, equivalent resistance across A to B =

[tex] \frac{x}{R} = \frac{1}{2R} + \frac{1}{R} \\1/R = \frac{1+2}{2R} \\1/R = \frac{3}{2R} \\R = \frac{2R}{3} [/tex]

Hence, the equivalent resistance is 2R/3 Ω

Thanks...