a) The voltage applied across the secondary circuit is 1.8 kV
b) The current in the primary circuit is 30 A
c) The power input and output of the transformer are 3.6 kW and 3.6 kW.
What is transformer?
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 primary coil = 80 turns, N₂ = number of turns of secondary coil = 1200 turns, V₁ = voltage in primary circuit = 120 V
Substitute the values and we get the voltage in secondary circuit is
V₂ = N₂V₁/N₁
V₂ = 1200 × 120 V/80
V₂ = 1800 V
V₂ = 1.8 kV
Thus, the voltage applied across the secondary circuit is 1.8 kV
b) Turn ratio also represented as N₁/N₂ = I₂/I₁ where I₂ is the current in secondary circuit = 2.0 A
Put the values, we have current in primary circuit is
I₁ = N₂I₂/N₁
I₁ = 1200 × 2.0 A/80
I₁ = 30 A
Thus, the current in the primary circuit is 30 A
c) The power input of the transformer P₁ = I₁V₁
P₁ = 30 A × 120 V
P₁ = 3600 W
P₁ = 3.6 kW
The power output of the transformer P₂ = I₂V₂
P₂= 2 A × 1800 V
P₂= 3600 W
P₂= 3.6 kW
The power input and output of the transformer are 3.6 kW and 3.6 kW.
Learn more about transformer.
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