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A series circuit contains a resistor of 20Omega, a capacitor and an ammeter of negligible resistance. It is connected to a source of 200 V, 50 Hz. If the reading of ammeter is 2.5 A, calculate the reactance of the capacitor. |
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Answer» SOLUTION :Here `R=20Omega, E_("rms")=200V, v=50Hz, I_("rms")=2.5A` The circuit is CR circuit. Impedance of circuit `Z_(CR)=(E_("rms"))/(I_("rms"))=(200)/(2.5)=80OMEGA` But, `Z_(CR)=SQRT(R^(2)+X_(C)^(2)) or Z_(CR)^(2)=R^(2)+X_(C)^(2)` `or X_(C)^(2)=Z_(CR)^(2)-R^(2)` `or X_(C)=sqrt(Z_(CR)^(2)-R^(2))=sqrt((80)^(2)-(20)^(2))=77.46ohm` |
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