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The figure shows the graphical variation of the rectance of a capacitor with frequency of acsource. (a) Find the capacitance of the capacitor. (b) An ideal inductor has the same reactance at 100 Hz frequency as the capacitor has at the same frequency. Find the value of inductance of the inductor. (c ) Draw the graph showing the variation of the rectance of this inductor with frequency.

Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :(a) As per graph for a frequency v = 100 Hz the capacitive reactance `X_(<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a> )=6Omega`. <br/> `because X_(C )=(1)/(C omega)=(1)/(C.2pi v)` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a> C=(1)/(2pi v. X_(C ))=(1)/(2xx3.14xx100xx6)=2.65xx10^(-4)F or 265 muF` <br/> (b) As for v = 100 Hz, <br/> `X_(L)=X_(C )=6Omega` <br/> `rArr L.2pi xx 100=<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a> rArr L=(6)/(2pi xx 100)=9.55xx10^(-3)H or 9.55 <a href="https://interviewquestions.tuteehub.com/tag/mh-1082136" style="font-weight:bold;" target="_blank" title="Click to know more about MH">MH</a>` <br/> (c )`X_(L)-v` graph is shown here: <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/U_LIK_SP_PHY_XII_EP_20_02_E01_028_S01.png" width="80%"/></body></html>


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