MHT CET · Physics · Alternating Current
A transformer is used to set up an alternating e.m.f. of 220 V to 4.4 kV to transmit 6.6 kW of power. The primary coil has 1000 turns. The current rating of the secondary coil is (Transformer is ideal)
- A 0.8 A
- B 1.2 A
- C 1.5 A
- D 1.8 A
Answer & Solution
Correct Answer
(C) 1.5 A
Step-by-step Solution
Detailed explanation
Number of turns of in primary and secondary coil be \(\mathrm{N}_{\mathrm{p}}\) and \(\mathrm{N}_{\mathrm{s}}\),
For ideal transformer,
\(\begin{aligned}
& \frac{N_s}{N_p}=\frac{V_s}{V_p} \\
& N_s=\frac{4.4 \times 10^3}{220} \times 1000=2 \times 1.0^4
\end{aligned}\)
Power supply at primary coil is given as,
\(\begin{aligned}
& \mathrm{P}=\mathrm{I}_{\mathrm{p}} \mathrm{~V}_{\mathrm{p}}=6.6 \times 10^3 \mathrm{~V} \\
& \mathrm{I}_{\mathrm{p}}=\frac{6.6 \times 10^3 \mathrm{~V}}{220}=30 \mathrm{~A}
\end{aligned}\)
For ideal transformer,
\(\frac{I_s}{I_p}=\frac{N_p}{N_s}\)
\(\mathrm{I}_{\mathrm{s}}=\frac{10^3}{2 \times 10^4} \times 30=1.5 \mathrm{~A}\)
For ideal transformer,
\(\begin{aligned}
& \frac{N_s}{N_p}=\frac{V_s}{V_p} \\
& N_s=\frac{4.4 \times 10^3}{220} \times 1000=2 \times 1.0^4
\end{aligned}\)
Power supply at primary coil is given as,
\(\begin{aligned}
& \mathrm{P}=\mathrm{I}_{\mathrm{p}} \mathrm{~V}_{\mathrm{p}}=6.6 \times 10^3 \mathrm{~V} \\
& \mathrm{I}_{\mathrm{p}}=\frac{6.6 \times 10^3 \mathrm{~V}}{220}=30 \mathrm{~A}
\end{aligned}\)
For ideal transformer,
\(\frac{I_s}{I_p}=\frac{N_p}{N_s}\)
\(\mathrm{I}_{\mathrm{s}}=\frac{10^3}{2 \times 10^4} \times 30=1.5 \mathrm{~A}\)
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