Question:
In the following circuits shown in figure, power produced in the resistor or combination of resistors connected to a 12V battery will be
(a) same in all cases
(b) minimum in case (i)
(c) maximum in case (ii)
(d) maximum in case (iii)
Solution:
(d).
Explanation: Power produced in case $(i)$
$=\frac{\mathrm{V}^{2}}{\mathrm{R}}=\frac{144}{2}=77 \mathrm{~J} \mathrm{~s}^{-1}$
Power produced in case $(i i)=\frac{\mathrm{V}^{2}}{\mathrm{R}}=\frac{144}{4}=36 \mathrm{Js}^{-1}$
Power produced in case (iii) $=\frac{\mathrm{V}^{2}}{\mathrm{R}}=\frac{144}{1}=144 \mathrm{Js}^{-1}$