Calculate the equivalent resistance

Question

The figure shows a resistor network consisting of four resistors. R₁ = 480 ohms, R₂ = 130 ohms, R₃ = 520 ohms, and R₄ = 216 ohms. Calculate the equivalent resistance that would replace the resistor network connected at point "B" and "C".

 

A - 90.5 ohms

B - 192 ohms

C - 312 ohms

D - 634 ohms

E - 104 ohms

Answer 1

There is no resistance between A and B, so they will be at the same

voltage level, so we can assume that they have been merged.

Then R₂ and R₃ are in parallel, and can be replaced by a single resistance R₂₃

satisfying

1/R₂₃ = 1/R₂ + 1/R₃

Then R₂₃ and R4 are in series, so they can be replace by

R₂₃₄ = R₂₃ + R₄

R₂₃₄ and R1 are in parallel, so they can be replaced by R₁₂₃₄ satisfying

1/R₁₂₃₄ = 1/R₁ + 1/R₂₃₄

Then you can substitute given values to calculate the desired R₁₂₃₄.