What is the equivalent resistance between points x and y


Asked by admin @ in Physics viewed by 313 People


The equivalent resistance between points X and Y in the following figure is _____ (A) 4 Ω

(B) 2 Ω
(C) 1 Ω
(D) 3 Ω

Answered by admin @



If you arrange in a proper way , you will get circuit follows WEATSONE BRIDGE as shown in figure.

so, resistor , PQ is removed because it follows R1 × R3 = R2 × R4 .

now, equivalent resistance , Req :

R' = R_1+R_3=4\Omega + 4\Omega=8\Omega
R"=R_2+R_4=4\Omega+4\Omega=8\Omega

so, \frac{1}{R_{eq}}=\frac{1}{R'}+\frac{1}{R"}

Req = 8 × 8/(8 + 8) = 64/16 = 4 ohm

hence, option (A) is correct.


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