Question

In the circuit shown in figure, the current through the given resistor is 

• A. the 3Ω resistor is 0.50A.
• B. the 3Ω resistor is 0.25A.
• C. the 4Ω resistor is 0.50A.
• D. the 4Ω resistor is 0.25A.

Hint:

In ladder circuits, reduce the network step-by-step using series and parallel combinations before applying Ohm’s law.

Answer 1

The Correct Option is B

Step 1: The circuit is a ladder network with identical vertical resistors connected at equal intervals. 

Step 2: Using symmetry and series–parallel reduction, equivalent resistances of successive sections can be evaluated. 

Step 3: Applying Ohm’s law after reduction of the network gives the current through the 3Ω resistor as: I = 0.25A