A) H
B) nH
C) \[{{n}^{2}}H\]
D) \[\frac{H}{{{n}^{2}}}\]
Correct Answer: C
Solution :
As, \[H=\frac{{{V}^{2}}}{R}\] (for 1 s) Resistance of each part \[=\,\,\frac{R}{n}\] When all parts are connected in parallel, net resistance \[R'=\frac{R}{{{n}^{2}}}\] So, heat produced \[H'=\frac{{{V}^{2}}}{R'}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{H'}{H}=\frac{R}{R'}=\frac{R}{\left( \frac{R}{{{n}^{2}}} \right)}={{n}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,H'={{n}^{2}}H\]You need to login to perform this action.
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