A wire is bent in the form of a triangle now the equivalent resistance between its one end and the mid point of the side is

Options

A. `(5R)/12`
B. `(7R)/12`
C. `(3R)/12`
D. `R/12`

Answer

A

Explanation

Resistance R,R and `R/2` are in series, their resultant resistance,
`R'=R+R+R/2 =(5R)/2`
Resistance R' and `R/2` are in parallel. Their resultant resistance
`1/(R_(eq))=2/(5R)+2/R=(2+10)/(5R) rArr R_(eq)=(5R)/12`