jangyasinniTeacher
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To find the rms value of the fundamental load current in a single-phase full bridge inverter, we can use the formula for the maximum output current, which is given by:
[ I_{text{max}} = frac{V_s}{R} ]
where:
– ( V_s ) is the DC voltage source,
– ( R ) is the load resistance.
Given:
– ( V_s = 230 , V )
– ( R = 2 , Omega )
First, we calculate ( I_{text{max}} ):
[
I_{text{max}} = frac{230 , V}{2 , Omega} = 115 , A
]
The rms value of the fundamental load current for a full bridge inverter is given by:
[
I_{rms} = frac{I_{text{max}}}{sqrt{2}} approx frac{115 , A}{sqrt{2}} approx 81.02 , A
]
Thus, the rms value of the fundamental load current is approximately:
81.02 A
c
Explanation: The fundamental component of voltage = (4Vs/π) sinωt.
Peak value Vm = 4Vs/π
Rms voltage = 4Vs/π√2 = 207 V
Current = 207/2 = 103.5 A.