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To find the power delivered to the load in a three-phase full converter charging a battery, we can use the formula for power delivered to the load, which can be expressed as:
[ P = V_{load} cdot I_{load} ]
Where:
– ( P ) is the power delivered to the load.
– ( V_{load} ) is the voltage across the load (in this case, the battery).
– ( I_{load} ) is the load current.
### Step 1: Calculate the voltage across the load (battery)
The voltage across the battery can be derived from the emf of the battery and the voltage drop across the internal resistance.
1. Calculate the voltage drop across the internal resistance:
[ V_{drop} = I cdot r ]
Where:
– ( I = 20 , A ) (current through the battery)
– ( r = 0.5 , Omega ) (internal resistance)
[
V_{drop} = 20 , A cdot 0.5 , Omega = 10 , V
]
2. Calculate the voltage across the battery (V_load):
[ V_{load} = E – V_{drop} ]
Where:
– ( E = 200 , V ) (emf of the battery)
[
V_{