Question

The net resistance between points P and Q in the circuit shown in fig. is

• A. R/2
• B. 2R/5
• C. 3R/5
• D. R/3

Answer 1

Answer: (B)

The correct option is B 2R/5
Answer is B.

Components connected in parallel are connected so the same voltage is applied to each component. In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents through each component.
To find the total resistance of all components, the reciprocals of the resistances of each component is added and the reciprocal of the sum is taken. Hence, the Total resistance will always be less than the value of the smallest resistance. That is, $\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}thatis,R={R_{total}}^{-1}$.