A) 5500 V,50 A,11 kW
B) 500 V, 25 A, 22 kW
C) 2400 V, 40 A, 5.5 kW
D) None of the above
Correct Answer: A
Solution :
The transformation ratio for a transformer is given by \[\frac{{{I}_{p}}}{{{I}_{s}}}=\frac{{{e}_{s}}}{{{e}_{p}}}=\frac{{{N}_{s}}}{{{N}_{p}}}=K\] where \[{{I}_{p}},{{N}_{p}},{{e}_{p}}\] are current, number of turns and voltage across primary and \[{{I}_{s}},{{N}_{s}},{{e}_{s}}\] across secondary, respectively. Given, \[{{e}_{p}}=220\,\,V,\,\,{{I}_{s}}=2A\] \[k=\frac{{{N}_{p}}}{{{N}_{s}}}=25\] \[\Rightarrow \] \[{{e}_{s}}=\frac{{{N}_{s}}}{{{N}_{p}}}\times {{e}_{p}}\] \[=25\times 220=5500\,\,V\] and \[{{I}_{p}}=\frac{{{N}_{s}}}{{{N}_{p}}}\times {{I}_{s}}\] \[=25\times 2=50\,\,A\] Power output \[={{e}_{s}}{{I}_{s}}\] \[=5500\times 2=11000\,\,W\] \[1\,\,kW={{10}^{3}}W\] \[\therefore \] Power output = 11 kW
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