| The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the configurations I, II and III are \[{{P}_{1}},{{P}_{2}}\] and \[{{P}_{3}}\] respectively, then - [JEE Online 09-04-2017] |
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A) \[{{P}_{2}}>{{P}_{1}}>{{P}_{3}}\]
B) \[{{P}_{1}}>{{P}_{2}}>{{P}_{3}}\]
C) \[{{P}_{3}}>{{P}_{2}}>{{P}_{1}}\]
D) \[{{P}_{1}}>{{P}_{3}}>{{P}_{2}}\]
Correct Answer: A
Solution :
| [a] \[P=\frac{{{V}^{2}}}{R}\] |
| \[P\propto \frac{1}{R}\] |
| \[{{R}_{1}}=1\] |
| \[{{R}_{2}}=1/2\] |
| \[{{R}_{3}}=2\] |
| \[{{P}_{2}}>{{P}_{1}}>{{P}_{3}}\] |
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