A PV module is used to charge a 12[V] battery.

Pmpp=160 Watts
The battery is partially charged. Assuming that the battery is ideal and 200[Wh] are required to completely charge it.
How long would it take to fully charge the battery if it is directly connected to the module?

To find out how long it would take to fully charge the battery, we need to calculate the charging time based on the power output of the PV module and the energy required to charge the battery.

First, we need to convert the power output of the PV module from Watts (W) to Watt-hours (Wh), as the energy unit is consistent with the battery requirement. The power output of the PV module (Pmpp) is given as 160 Watts.

Next, we need to calculate the energy output of the PV module per unit of time. This can be determined by dividing the power output by the number of hours. Since the battery is directly connected to the module, we can assume that the power output remains constant. Thus, the energy output per unit of time is equal to the power output.

Now, we can calculate the time required to fully charge the battery. We divide the total energy required to charge the battery (200 Wh) by the energy output per unit of time.

Let's calculate the energy output per unit of time:
Energy output per unit of time = Power output of PV module = 160 Wh

Now, let's calculate the time required to fully charge the battery:
Time (in hours) = Total energy required / Energy output per unit of time
Time = 200 Wh / 160 Wh = 1.25 hours

Therefore, it would take approximately 1.25 hours to fully charge the battery if it is directly connected to the PV module.