A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output pow

Question

A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2 kW . If the current in the secondary coil is 10 A , then the input voltage and current in the primary coil are\

Professor PC Thomas Classes · Answer

(b) : Given: $N_{i}=300, N_{0}=150$\ $P_{0}=2.2 \mathrm{~kW}=2.2 	imes 10^{3} \mathrm{~W}=2200 \mathrm{~W}$,\ $I_{0}=10 \mathrm{~A} \quad \because P_{0}=V_{0} I_{0}$\ $\Rightarrow \quad 2200=V_{0} 	imes 10 \Rightarrow V_{0}=220 \mathrm{~V}$\ $\because \quad \frac{V_{i}}{V_{0}}=\frac{N_{i}}{N_{0}} \Rightarrow V_{i}=\frac{N_{i}}{N_{0}} 	imes V_{0}=440 \mathrm{~V}$\ Also, $P_{0}=V_{i} I_{i} ; I_{i}=\frac{P_{0}}{V_{i}}=\frac{2200}{440}=5 \mathrm{~A}$