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Identify the expression for transformation ratio from the following.

(a) k = \(\frac {V_s}{V_p}=\frac {I_s}{I_p}=\frac {N_s}{N_p}\)

(b) k = \(\frac {V_s}{V_p}=\frac {I_s}{I_p}=\frac {N_p}{N_s}\)

(c) k = \(\frac {V_s}{V_p}=\frac {I_p}{I_s}=\frac {N_s}{N_p}\)

(d) k = \(\frac {V_p}{V_s}=\frac {I_s}{I_p}=\frac {N_s}{N_p}\)

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The correct answer is (c) k = \(\frac {V_s}{V_p}=\frac {I_p}{I_s}=\frac {N_s}{N_p}\)

Easiest explanation: Transformation ratio (k) is defined as the ratio of number of turns in the secondary winding to the number of turns in the primary winding and the ratio of the current in the primary coil to the current in the secondary coil. It also defined as the ratio of voltage at the secondary terminal to the voltage at the primary terminals. The expression is given as:

k = \(\frac {V_s}{V_p}=\frac {I_p}{I_s}=\frac {N_s}{N_p}\)

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