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In an alternaitng current circuit, resistor, inductor and capacitor are connected in series in diagram shown in Fig. Find the value of current and power foctor of the circuit |
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Answer» Here, `R = 50 Omega, L = 10 H` `C = 2 mu F = 2 xx 10^(-6) F, E_(v) = 250 V, v = 50 Hz` `X_(L) = omega L = 2 pi L = 2 xx 3.14 xx 50 xx 10 = 3140 Omega`. `X_(C ) = (1)/(omega C) = (1)/(2 pi v C)` `= (1)/(2 xx 3.14 xx 50 xx 2 xx 10^(-6)) = (10^(4))/(6.28)` `Z = sqrt(R^(2) + (X_(L) - X_(C ))^(2))` ` = sqrt(50^(2) + (3140 - 1.6 xx 10^(3))) = 1540 Omega` `I_(v) = (E_(v))/(Z) = (250)/(1540.8) = 0.162 A` Power factor, `cos phi = (R )/(Z) = (50)/(1540.8) = 0.032` |
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