Half Wave Rectifier Diodes

why we use a diode in half wave rectifier?

Assuming that your question is, "Why do we use a diode in a half wave rectifier?"
A diode is like a one way valve for electrical current.
We use a diode in a half wave rectifier to block the current from flowing in one of the two directions supplied.
A rectifier is used to rectify ac into dc. and a half wave rectifier only permits half of the wave to pass through it . e.g. it may permit the positive half through and block the negative half.

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Wave Base $82.85 High Quality Content by WIKIPEDIA articles The wave base is the maximum depth at which a water waves passage causes significant water motion. For water depths larger than the wave base, bottom sediments are no longer stirred by the wave motion above. In deep water, the water particles are moved in a circular orbital motion when a wave passes. The radius of the circle of motion for any given water molecule decreases exponentially with increasing depth. The wave base, which is the depth of influence of a water wave, is about half the wavelength. At depths greater than half the wavelength, the water motion is less than 4 of its value at the water surface, and may be neglected. For instance, in a pool of water 1 foot deep, a wave with a 2foot wavelength would barely be moving the water at the bottom. In the same pool, a wave with a wavelength of 1 foot would not be able to cause water movement on the bottom. Author: Surhone, Lambert M./ Timpledon, Miriam T./ Marseken, Susan F. Binding Type: Paperback Number of Pages: 126 Publication Date: 2010/08/10 Language: English Dimensions: 6.00 x 9.02 x 0.30 inches

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what is the efficiency of a 3 Phase full wave rectifier using Diodes?

1 Phase half wave rectifier = 40.6%
1 Phase full wave rectifier = 81.2%

Very near to maximum.