1.

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»

SOLUTION :(a) As per graph for a frequency v = 100 Hz the capacitive reactance `X_(C )=6Omega`.
`because X_(C )=(1)/(C omega)=(1)/(C.2pi v)`
`RARR C=(1)/(2pi v. X_(C ))=(1)/(2xx3.14xx100xx6)=2.65xx10^(-4)F or 265 muF`
(b) As for v = 100 Hz,
`X_(L)=X_(C )=6Omega`
`rArr L.2pi xx 100=6 rArr L=(6)/(2pi xx 100)=9.55xx10^(-3)H or 9.55 MH`
(c )`X_(L)-v` graph is shown here:


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