Figure showns a network of eight resistors numbered 1 to 8, each equal to `2 Omega`, connected to a `3 V` battery of negligible internal resistance. The current `l` in the circuit is

Options

A. `0.25A`
B. `0.50A`
C. `0.75A`
D. `1.0A`

Answer

D

Explanation

Because of symmetry, BE and CF are inefective
`:.AB,BC` and CD are in series. Total resistance
`R_(1)=6Omega`
AE,EF and FD are in series. Total resistance `R_(2)=6Omega`
When they are in parallel total resistance `=3Omega`
`:." "` Current `=(3V)/(3Omega)=1.0A`