Basic Electrical Engineering
Unit 3 Single Phase A.C. Series Circuits Derive the expression of current drawn & power consumed by a circuit consisting of L connected across v=Vm sin wt supply. Draw waveforms. (6M) Derive the expression of current drawn & power consumed by a circuit consisting of C connected across v=Vm sin wt supply. Draw waveforms. (6M) Derive the expression of current drawn & power consumed by a circuit consisting of ‘R’&C’ connected in series across v=Vm sin wt supply. (6M) Derive the expression of current drawn & power dissipated by a circuit consisting of ‘R’&‘L’ connected in series across v=Vm sin wt supply. (6M) Sketch Impedance triangle and Admittance triangle. Define admittance, susceptance and conductance as related to a.c. circuit. How admittance is expressed in rectangular form? (6M) 6. Define series resonance in RLC series circuit. State various effect of resonance. Draw graphical representation of X, Z, I and P wih respect to frequency and show resonant frequency . Write expression for Resonant frequency. (6M)7. Find the expression for current which will flow when a pure inductor of 0.2 H is connected across 230 V, 50 Hz AC supply . Draw phasor diagram(6M) 8. An emf given by v=100 Sin 100πt is impressed across a circuit consisting of resistance of 40Ω in series with 100 µF capacitor and 0.25 H inductor. Determine: i) rms value of the current ii) power consumed. iii) power factor. (6M)9. The series RL circuit having resistance of 5 Ω is connected across 200 V, 50Hz 1- phase a.c. supply. The voltage across the resistance is 50V. calculate:voltage across inductance value of inductance Power power factor (6M) A 50μF capacitor is connected across a single phase 230V,50Hz supply Calculate 1) reactance offered by capacitor 2)maximum current 3)the r.m.s value of current drawn by the capacitor(6M) A pure inductance L= 0.1H is connected across voltage of v = 200 sin 314t. Find the rms value of current, instantaneous and average power. Write down expression for current (3M) Three identical coils, each having resistance of 15 Ω and inductance of 0.03 H, are connected in delta across a 3 phase ,400 V,50 Hz supply. Calculate : (i) the phase current, (ii) the line current, (iii) the power consumed. (6M) An emf given by v=100 sin 100πt is impressed across a circuit consisting of resistance of 40 Ω in series with 100 μF capacitor and 0.25 H inductor. Determine: (i) rms value of the current, (ii) power consumed, (iii) power factor . (6M) The resistance of 20ohm and coil of inductance 31.8 mH and by a circuit consisting of ‘R’ and ‘C’ connected in series across v = Vm sin wt supply. (6M) Voltage and current, in simple series circuit are given by V = 150 ∠30 ̊ and I = 2∠− 15 ̊If the supply frequency is 50Hz, determine, impedance, resistance, reactance and power consumed by the circuit. (6M) Ciruit consisting of resistance of 20 Ω and inductance of 0.1 H is in series connected across single phase,220V,50Hz.calculate.1]Current drawn 2]Power Factor 3]power consumed by circuit. (6M) A series R-L circuit consist of resistance of 3ohm and inductance of 0.0106H connected across v = 141 sin wt, 60Hz supply .Write down expression for inst. Current drawn by circuit. Calculate average power dissipated and p.f. of the circuit. (6M) A resistance of 20ohm and coil of inductance 31.8 mH and negligible resistance, are connected in parallel across 230V,50 Hz supply. Find : (i) currents drawn, (ii) p.f. and (iii) power consumed by the circuit. (6M) A series circuit, consist of resistance of 10 ohm and inductance of 0.1 Henry, connected across one phase 50 Hz A.C. supply. If the voltage across resistance is 50 volt. Calculate i) Voltage drop across inductance and ii) Supply voltage. (6M) A coil having resistance of 50 ohm and inductance of 0.02 H is connected in parallel with a capacitor of 35 μF across a single phase 200 V, 50 Hz supply .Calculate branch currents and total current drawn by the circuit. (6M)
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