A) \[\frac{E_{0}^{2}}{R}\]
B) \[\frac{E_{0}^{2}}{2\,R}\]
C) \[\frac{E_{0}^{2}}{4\,R}\]
D) \[\frac{E_{0}^{2}}{8\,R}\]
Correct Answer: C
Solution :
\[P={{E}_{rms}}{{i}_{rms}}\cos \,\phi =\frac{{{E}_{0}}}{\sqrt{2}}\times \frac{{{i}_{0}}}{\sqrt{2}}\times \frac{R}{Z}\] \[\Rightarrow \,\,\,\,\,\,\frac{{{E}_{0}}}{\sqrt{2}}\times \frac{{{E}_{0}}}{Z\sqrt{2}}\times \frac{R}{Z}\,\,\,\,\Rightarrow \,\,\,P=\frac{E_{0}^{2}R}{2{{Z}^{2}}}\] Given \[{{X}_{L}}=R\], so, \[Z=\sqrt{2}\,R\,\,\,\Rightarrow \,\,P=\frac{E_{0}^{2}}{4\,R}\]
You need to login to perform this action.
You will be redirected in
3 sec
