Problem (1) The half-wave rectifier circuit of the shown figure has $v_s(t) = 170 sin(377t)$ V and a load resistance R = 15?. Determine: (a) the average load current, (b) the rms load current, (c) the power absorbed by the load, (d) the apparent power supplied by the source, (e) the power factor of the circuit. (f) draw the input voltage, output voltage and diode voltage on one figure. Problem (2) A half-wave rectifier as shown has a source of 120 $V_{rms}$ at 60 Hz and an RL load with R = 12? and L = 12mH. Determine (a) an expression for load current, (b) the average current, (c) the power absorbed by the resistor, (d) the power factor, (e) draw the waveforms of $v_s$, $i_o$, $V_R$, $V_L$, $V_o$, $V_d$ on the same graph. Problem (3) A half-wave rectifier as shown has a 240$V_{rms}$, 60 Hz ac source. The load is a series inductance, resistance, and dc source, with L = 75mH, R = 10?, and $V_{dc}$ = 100 V. Determine: (a) the power absorbed by the dc voltage source, (b) the power absorbed by the resistance, and (c) the power factor. Problem (4) The half-wave rectifier with a freewheeling diode as shown has R = 12? and L = 60 mH. The source is 120 $V_{rms}$ at 60 Hz. (a) From the Fourier series of the half-wave rectified sine wave that appears across the load, determine the dc component of the current. (b) Determine the amplitudes of the first four nonzero ac terms in the Fourier series. Comment on the results.
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a) To find the average load current, we need to find the average value of the current through the load. Since it is a half-wave rectifier, the current flows only during the positive half-cycle of the input voltage. The average value of the current can be found Show more…
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