The number of primary winding turns is 100 turns.
The full load primary & secondary currents are 66.66 A and 53.33 A.
The maximum value of flux in the core is 23.88 Weber.
<h3>What is transformer?</h3>
A transformer transfers electric energy from one AC circuit to one or more other circuits, either stepping up or stepping down the voltage.
a) Turns ratio N₁/N₂ = V₁/V₂ where N₁ = number of turns of secondary coil = 80 turns, N₂ = number of turns of secondary coil , V₁ = voltage in primary circuit = 300 V and , V₂ = voltage in secondary circuit = 240 V
Substitute the values and we get
N₁ =V₁/V₂ x N₂
N₁= 300/240 x 80
N₁= 100 turns
Thus, the number of primary winding turns is 100 turns.
b) Power = V₁ I₁
20 x1000 = 300 x I₁
I₁ = 66.66 A
Turn ratio also represented as N₁/N₂ = I₂/I₁
Put the values, we have current in secondary circuit is
I₂ = N₂/N₁ x I₁
I₂= 80/100 x 66.66
I₂= 53.33 A
Thus, the current in the primary and secondary circuit is 66.66 A and 53.33 A.
c) Maximum flux equals (√2Vrms) / (N₁ x ω).
The rms voltage is Vrms = V₁ /√2
Vrms = 300/√2 = 212.1 V
The angular frequency ω = 2π /f
ω = 2π /50= 0.1256 rad/s
Substitute the values into the expression, we get
Φmax = (√2Vrms) / (N₁ x ω).
= (√2 x 212.1) / (100 x 0.1256)
=23.88 Weber
Thus, the maximum flux is 23.88 Weber.
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