The maximum efficiency of full-wave rectifier is
Step 1: Given
A full-wave rectifier is given. Its efficiency is .
Step 2: Formula Used
A full wave rectifier converts AC (alternating current) voltage into DC voltage (direct current). The efficiency of the full wave rectifier can be calculated by finding the percentage of the ratio of DC power to AC power . Thus, the efficiency is given by .
The power of the DC circuit is , where is voltage in the DC circuit, is peak voltage and is load resistance.
The power of the AC circuit is , where is root mean square voltage in the AC circuit, is peak voltage and is load resistance.
Step 3: Calculate the Efficiency
Substitute all the expressions in the efficiency formula.
Further substitute and .
Hence, the maximum efficiency of a full-wave rectifier is .