Consider the ladder network shown in figure. What should be the value of resistance R, so that effective resistance between A B becomes independent of number of elements in the combination?

Question

Consider the ladder network shown in figure. What should be the value of resistance R, so that effective resistance between A B becomes independent of number of elements in the combination? (A) 2 Ω (B) 4 Ω (C) 8 Ω (D) 16 Ω

Tardigrade Admin · Accepted Answer

For R = 4r, the sequence repeats itself.

Q. Consider the ladder network shown in figure. What should be the value of resistance $R$ , so that effective resistance between $A & B$ becomes independent of number of elements in the combination?

$2 Ω$

$4 Ω$

$8 Ω$

$16 Ω$

For $R = 4 r$ , the sequence repeats itself.

Q. Consider the ladder network shown in figure. What should be the value of resistance R, so that effective resistance between A&B becomes independent of number of elements in the combination?

2Ω

4Ω

8Ω

16Ω