Step-by-step explanation:
It is given that,
Input voltage,
![V_i=12\ V](https://img.qammunity.org/2021/formulas/physics/middle-school/zjm4sd62mv948phgoowwwcln7bw7py1og5.png)
Input current,
![I_i=4\ A](https://img.qammunity.org/2021/formulas/physics/middle-school/iblby8d9w43uwrja3yi8mfbe0wbxeek1lo.png)
Output current,
![I_o=0.8\ A](https://img.qammunity.org/2021/formulas/physics/middle-school/v8no0z7yaktowk9rvtj0qkvhqv9drlwmpr.png)
Number of turns in the secondary side of transformer,
![N_s=1177](https://img.qammunity.org/2021/formulas/physics/middle-school/u5o57vjn7kf222qx21qsa8zdawe30qtav5.png)
We need to find the number of turns in the primary side of the transformer. The current to the number of turns in the input and output is given by :
![(N_s)/(N_p)=(I_p)/(I_s)](https://img.qammunity.org/2021/formulas/physics/middle-school/c1enrz36n11pfvef30fxc1gmrdcqrlg7k8.png)
Substituting all the above values
So,
![N_p=(N_sI_s)/(I_p)\\\\N_p=(1177* 4)/(0.8)\\\\N_p=5885](https://img.qammunity.org/2021/formulas/physics/middle-school/nq2enl6nht2dg9zgh69foo7amioy2m1l47.png)
So, the number of turns in primary side of the transformer is 5885.