In the circuit given `E = 6.0 V, R_(1) = 100 ohms, R_(2) = R_(3) = 50 ohms, R_(4) = 75 ohms`. The equivalent resistance of the circuit, in ohms, is

Options

A. 11.875
B. 26.31
C. 118.75
D. None of these

Answer

C

Explanation

(c ) In given circuit three resistance `R_(2), R_(4)` and `R_(3)` are parallel
`(1)/(R ) = (1)/(R_(2)) + (1)/(R_(4)) + (1)/(R_(3))`
`= (1)/(50) + (1)/(50) + (1)/(75)`
`= (75 + 75 + 50)/(50 xx 75)`
`R = (50 xx 75)/(75 + 75 + 50) = (50 xx 75)/(200) = (75)/(4) Omega = 18.75 Omega`
This resistance is in series with `R_(1)`
`:. R_(resultant) = R_(1) + R = 100 + 18.75 Omega`