Question
The primary of a winding transformer has $$400$$ turns while the secondary has $$2000$$ turns. If the power output from the secondary at $$1000\,V$$ is $$12\,kW,$$ what is the primary voltage?
A.
$$200\,V$$
B.
$$300\,V$$
C.
$$400\,V$$
D.
$$500\,V$$
Answer :
$$200\,V$$
Solution :
$$\eqalign{
& {N_P} = 400,{N_S} = 2000\,\,{\text{and}}\,\,{V_S} = 1000\,V. \cr
& \frac{{{V_P}}}{{{V_S}}} = \frac{{{N_P}}}{{{N_S}}}\,\,{\text{of,}}\,\,{V_P} = \frac{{{V_S} \times {N_P}}}{{{N_S}}} = \frac{{1000 \times 400}}{{2000}} = 200\,V. \cr} $$