Each resistance shown in the circuit is of 10 Ω . The equivalent resistance between the points X and Y is

Question

Each resistance shown in the circuit is of 10 Ω . The equivalent resistance between the points X and Y is (A)  10 Ω  (B)  20 Ω  (C)  25 Ω  (D)  30 Ω

Tardigrade Admin · Accepted Answer

In arm ABC , resultant resistance R=R1+R2=10+10=20Ω In arm ADC , resultant resistance R =R3+R4=10+10=20Ω Resistances R and R are in parallel, ∴ (1/R)=(1/R)+(1/R )=(1/20)+(1/20) R=10Ω .

Q. Each resistance shown in the circuit is of $10 Ω$ . The equivalent resistance between the points X and Y is

$10 Ω$

$20 Ω$

$25 Ω$

$30 Ω$

In arm $A BC$ , resultant resistance $R = R_{1} + R_{2} = 10 + 10 = 20Ω$ In arm $A D C$ , resultant resistance $R = R_{3} + R_{4} = 10 + 10 = 20Ω$ Resistances $R$ and $R$ are in parallel, $∴$ $\frac{1}{R} = \frac{1}{R} + \frac{1}{R} = \frac{1}{20} + \frac{1}{20}$ $R = 10Ω$ .

Q. Each resistance shown in the circuit is of 10Ω . The equivalent resistance between the points X and Y is

10Ω

20Ω

25Ω

30Ω