Question

A four-resistor circuit is shown in the figure. The values of the resistors are as follows: R2=4 Ohms, R2=R3=R4-3 Ohms. What is the equivalent resistance Req for this circuit? RA my Ris R2 R3 ş O 0.8 ohms 1.33 ohms O 3.5 ohms O 2.5 ohms O 0.67 ohms

Answer 1

In the given circuit, R₄ and R₃ are in series and the series combination of R₄ and R₃ , resistor R₁ , and   resistor R₂ are in parallel. Thus, the equivalent resistance R_eq of the circuit is given by :

$\frac{1}{R_{eq}} = \frac{1}{R_1} +\frac{1}{R_2} +\frac{1}{(R_3 + R_4)} =[\frac{1}{4} +\frac{1}{3} +\frac{1}{(3 + 3)}] =\frac {3} {4 } \mho \newline \Rightarrow R_{eq} = \frac{4}{3} \ \Omega = 1.333 \ \Omega$

Correct choice: Option (ii)