Question

To investigate the relation between the ratio of (i) output and input voltage and (ii) number of turns in the secondary coil and primary coil of a self designed transformer project for 12th

Answer 1

Relationship between voltage & number of turns in a transformer:

Explanation:

• When a transformer is set to a self-designed transformer then the ratio of output voltage in the secondary coil and the input voltage in the primary coil is equal to the ratio of output current in the secondary coil to the input current in the primary coil.

        $\displaystyle \frac{V_o}{V_i}=\frac{I_o}{I_i}$                           ...(1)

        where

         Vo = output voltage

          $V_i$ = input voltage

          Io = output current

          $I_i$ = input current

• The ratio of the number of turns in the secondary coil and the number of turns primary coil is equal to the ratio of output current in the secondary coil to the input current in primary coil.

       $\displaystyle \frac{N_o}{N_i}=\frac{I_o}{I_i}$                             ...(2)

       where

       No = number of turns of the secondary coil

       Ni = number of turns of primary coil

       Io = output current

       $I_i$ = input current

• from equation (1) & (2)

        $\displaystyle \mathbf{\frac{N_o}{N_i}=\frac{V_o}{V_i}}$

• Hence, the ratio of the number of turns in the secondary coil and the number of turns primary coil is equal to the ratio of output current in the secondary coil to the input current in the primary coil.