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Question:

inductor capacitor series circuit?

Cant seem to get my head around this question so any advice would be greatA circuit with an inductor(with both resistance and inductance) Vrl (200+j300)V connected in series to a capacitor c150 micraF across a power supply with a 50Hz supply voltage. The supply current is 25lt;0 degreesCalculatea) impedance of the inductor expressed in complex formb) the values of R and L of the inductorc) the value of the supply voltage, expressed in polar formd) the phase angle of the circuite) the apparent and active powers of the circuitf) draw a scaled argand diagram showing the supply current and all voltages

Answer:

you better to see the transmission lines and waveguide book
Vrl 200 + j 300 Vrl √[200? + j300]? 360.56 Vrms 56.31 degrees R Zr 200 V / 25A 8 Ohm Is 25A 0 degrees Zrl 360.56 Vrms 56.31 degrees / 25 A 0 degrees Zrl 14.42 Ohm 56.31 degrees Zrl 8 Ohm + j12 Ohm f 50Hz C 150 μF Zc -1/2πfC Zc -1/(100π(.00015)) Zc -j21.22 Ohm Zr + Zc Zrc Zr 8 + j00.00 Ohm Zc 0 - j21.22 Ohm Zrc 8 - j21.22 Ohm Zrl - Zrc Zl Zrl 8 + j12.00 Ohm Zrc 8 - j21.22 Ohm Zl 0 + j33.22 Ohm Zl 33.22 Ohm Zl 2 π f L L Zl/ 2 π f 33.22 Ohm /(100 x π) .105743 L 105.743 mH Zt Zr + Zl + Zc Zr 8 + j00.00 Ohm Zc 0 - j21.22 Ohm Zl 0 + j33.22 Ohm Zt 8 + j12.00 Ohm Zt 14.42 56.31 degrees Is 25A 0 degrees Vt (14.42 56.31) x (25A 0) 360.5 Vrms 56.31 degrees Pt 360.5 Vrms 56.31 degrees x 25A 0 degrees 9012.5 56.31 W Is? 25A? 0 degrees 625 A? 0 Pr 8 Ohm x 625A? 5000 W Pc - j21.22 Ohm x 625A? -13262.5 VAR Pl j33.22 Ohm x 625A? 20762.5 VAR Pt 5000 W + 7500 VAR Pt 9013.9 VA 56.31 degrees a) impedance of the inductor expressed in complex form Zl 0 Ohm + 33.22 j Ohm b) the values of R and L of the inductor R Zr 200 V / 25A 8 Ohm L 105.743 mH c) the value of the supply voltage, expressed in polar form Vt (14.42 56.31) x (25A 0) 360.5 Vrms 56.31 degrees d) the phase angle of the circuit φ 56.31 degrees e) the apparent and active powers of the circuit Pr 8 x 625A? 5000 W Pt 5000 W + 7500 VAR Pt 9013.9 VA 56.31 degrees f) draw a scaled argand diagram showing the supply current and all voltages Let me goI won't make itYou go on ahead without me :)

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