The efficiency of the charge controller is ?

Hint: In this question, we have asked to mention the efficiency of the charge controller. We have to define what a charge controller is, what is its efficiency and by taking an example we will calculate the efficiency of the charge controller.

Complete step by step answer:
Let us define charge controller first, a Charge controller, also called charge regulator, is a device which limits the rate of electric current which is to be added or drawn from the electric batteries. It prevents the battery from overcharging and protects against overvoltage which can reduce battery performance and lifespan of the battery.

Charge controller devices stop charging a battery when they exceed a high voltage limit set and restart charging when battery voltage drops below that raised level. This device is used in mobile phones, laptops, PC’s and almost all charging devices.Efficiency of a charge controller is defined as the ratio of useful power output to total power input consumed by the charge controller.

Now, let us know how to calculate the efficiency of the charge controller. Suppose, a charge controller has maximum input $24V$ and $5A$ . Its maximum output is $12V$ and $9A$.
Then, ${I_1} = 5A$ (input current) , \[{V_1} = 24V\] (input voltage)
And ${I_2} = 9A$ (input current) , \[{V_2} = 12V\] (input voltage)
So, efficiency of charge controller is given by
$\eta \% = \dfrac{{{V_2}{I_2}}}{{{V_1}{I_1}}} \times 100$
$\Rightarrow \eta \% = \dfrac{{12 \times 9}}{{24 \times 5}} \times 100$
Solving,
$\Rightarrow \eta \% = \dfrac{9}{{10}} \times 100$
$\therefore \eta \% = 90\% $

Hence,the efficiency of the charge controller is 90 %.

Note:Here, we are taking the values of input and output as per our requirement. They may be different in every case. And hence, the efficiency of charge controllers may vary. But, Generally, the efficiency of charge controllers is about $90 - 98\% $ .