A load, ZL=RL+jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS=RS+jXS . The turns ration of the transformer required is

A load, ZL=RL+jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS=RS+jXS . The turns ration of the transformer required is

(a) √|𝑍𝐿/𝑍𝑆 |
(b) √|𝑅𝐿/𝑅𝑆 |
(c) √|𝑅𝐿/𝑍𝑆 |
(d) √|𝑍𝐿/𝑅𝑆 |

Ans.  (a)  √|𝑍𝐿/𝑍𝑆 |

  𝒁𝑳/𝒁𝑺 = ( 𝒏𝟐/𝒏𝟏 )^2  

or 

𝒏𝟐/𝒏𝟏 = √ 𝒁𝑳/𝒁𝑺