Question

Four resistances are connected to a DC battery as shown in the figure. Maximum power will be developed across $\underset{–}{}$ ohm resistance.

• A. $3$
• B. $6$
• C. $12$
• D. $36$

Answer 1

The correct option is C $12$

The resistance across the first pair of resistance (parallel combination of 3 and 6 ohms) is less than the second pair of resistance. As the current in both the sections is same so using $i=\frac{V}{R}$, the potential is more across the second section. Hence A and B options are incorrect.
Now as this 12 ohm and 36 ohm resistance are in parallel so the potential across them is same. Using $P=\frac{V^2}{R}$, the power is more for the one whose resistance is less. So 12 ohm is the correct answer.