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Chapter 4: Q2E (page 1044)

A sinusoidal current i=lcosωthas an rms valuelrms=2.10A. (a) what is the current amplitude? (b) The current is passed through a full-wave rectifier circuit. What is the rectified average current? (c) Which is larger:lrmsorlavg? Explain, using graphs ofand of the rectified current.

Short Answer

Expert verified

The maximum value of the current is 2.97 A. The rectified average current is 1.89 A and the rms current is more than the rectified average current.

Step by step solution

01

Step-1: Formulas used  

The maximum value of the currentlmaxis the amplitude of the current wave

lmax=2lrms,where is the root mean square current.

The rectified average currentlavgrepresents the constant current that produced from using diodes to make the total charges flow similar.

lavg=2ττlmax

02

Step-2: Calculations for the current amplitude

lmax=22.1A=2.97A

03

Step-3: Calculations for rectified average current

lavg=2π2.1A=1.89A

04

Step-4: Analysing graphs of i2 and of the rectified current.

The root mean square current is larger than the rectified current lrms>lavg. And it always lrms>lavgbecause the average of i2is more than the average of I.

Therefore the maximum value of the current is 2.97A. The rectified average current is 1.89A and the rms current is more than the rectified average current.

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