Question

How many minimum number of $2\Omega$ resistance can connected to have an effective resistance of $1.5\Omega$

• A. 3
• B. 2
• C. 6
• D. 4

Answer 1

Answer: (C)

6

Effective resistance between A and B $R_{AB}=(2\parallel 2)+(2\parallel 2\parallel 2\parallel 2)$

$⟹$ $R_{AB}=\frac{2}{2}+\frac{2}{4}=1+0.5=1.5\Omega$

Thus atleast 6 resistors are required to give an effective resistance equal to $1.5\Omega$.