In the full$-$bridge rectifier circuit given below, the peak value of the Vk source is $41,$ and its peak$-$to$-$peak value is $82.$ The diodes are silicon diodes. The frequency of the Vk source is $50$ Hz$.$ Analyze the circuit by drawing equivalent circuits separately for the positive and negative half$-$cycles of the Vk source.

Draw the waveform of the Vk source voltage, the diode voltages, and the output voltage, placing them one below the other and indicating their peak values. Simulate the circuit using silicon diodes.

Display the waveforms of the Vk source voltage, the output voltage, and the voltages across the D$3$ and D$4$ diodes on an oscilloscope. Include these waveforms in your report. Provide a table summarizing the peak values of the diode and output voltages obtained from the analysis and simulation results.