In the following circuit, 18,Omega resistor develops 2,J/sec due to current flowing through it. The power developed across 10,Omega resistance is .............. W

Q: In the following circuit, $18\,\Omega $ resistor develops $2\,J/sec$ due to current flowing through it. The power developed across $10\,\Omega $ resistance is .............. $W$

b The given circuit can be redrawn as follows $\frac{{{i_1}}}{{{i_2}}} = \frac{9}{{18}} = \frac{1}{2}$ and $i = {i_1} + {i_2}$ $ \Rightarrow \frac{i}{{{i_1}}} = 1 + \frac{{{i_2}}}{{{i_1}}} = 1 + 2 = 3$ From $P = {i^2}R \Rightarrow \frac{{{P_{10\,\Omega }}}}{{{P_{18\,\Omega }}}} = {\left( {\frac{i}{{{i_1}}}} \right)^2} \times \frac{{10}}{{18}}$ $ \Rightarrow {P_{10\,\Omega }}\, = 10\,W$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

In the following circuit, $18\,\Omega $ resistor develops $2\,J/sec$ due to current flowing through it. The power developed across $10\,\Omega $ resistance is .............. $W$

A$125$
B$10$
C$0.8$
D$25$

Medium

STD 11 Science
JEE
STD 12 - 3. current electricity
Physics

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