Generally, efficiency is defined as the ratio of output power to the input power. In

Very often in Electrical systems, we come across the cascaded systems. Like the one shown below:

In such cases, the efficiencies should be multiplied to obtain the overall efficiency of the system.

Here in the present case:

Solution: Input power = Loss + Output power

Solution:

*efficiency is defined in terms of power or energy. Here,***Electrical Engineering****Efficiency (𝞰) = (P**_{out}./P_{in}) * 100%Very often in Electrical systems, we come across the cascaded systems. Like the one shown below:

In such cases, the efficiencies should be multiplied to obtain the overall efficiency of the system.

Here in the present case:

**𝞰**_{t }**=****𝞰**_{1 }*******𝞰**_{2 }*******𝞰**_{3 }*******𝞰**_{4 }**Example # 1:**An electrical tool takes 1000 watt input and provides some output with a loss of 100 watts. Determine the efficiency of the system.Solution: Input power = Loss + Output power

**Output power = 1000 watt - 100 watt = 900 watt**

**Now efficiency = 900 watt / 1000 watt * 100 = 90%****Example # 2:**A power station has three portions. Portion A, Portion B, and Portion C. The efficiencies of portions are 89%, 93%, and 92% respectively. Find the overall efficiency of system.Solution:

**𝞰**_{t }**=****𝞰**_{1 }*******𝞰**_{2 }*******𝞰**= 0.89 * 0.93 * 0.92 = 0.7614 = 76.14%_{3 }
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