A) 198 V
B) 220 V
C) 240 V
D) 220 \[\sqrt{2}\] V
Correct Answer: A
Solution :
The average emf during positive half cycle is given by \[{{E}_{av}}=\frac{2\,{{E}_{0}}}{\pi }\] ?. (i) Also, \[{{E}_{rms}}=\frac{{{E}_{0}}}{\sqrt{2}}\] ?. (ii) From Eqs. (i) and (ii), we get \[{{E}_{av}}=\frac{2}{\pi }\times {{E}_{rms}}\times \sqrt{2}\] Given, \[{{E}_{rms}}=220\,V\], \[\therefore \] \[{{E}_{rms}}=\frac{2\times 220\times \sqrt{2}}{3.14}=198\,\,V\]
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