NEETPhysicsCurrent Electricity
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If the resistance of every individual resistor in an infinite ladder network is doubled, the overall equivalent resistance of the network is also doubled. Reason (R): The equivalent resistance of an infinite ladder network is determined by solving a quadratic equation. In the light of the above sta
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
B. Both (A) and (R) are correct but (R) is not the correct explanation of (A)
Step-by-step solution
Assertion (A) is correct. In any purely linear resistive network, scaling all constituent resistors by a factor k scales the overall equivalent resistance by the same factor k . Thus, doubling all individual resistances doubles the equivalent resistance. Reason (R) is also correct. The standard method to find the equivalent resistance of an infinite ladder is to assume the resistance of the infinite network is R_ eq , and then set up an equation by adding one repeating unit to R_ eq , which results in a quadratic e