Answer:
![V_{p} = 15 V](https://tex.z-dn.net/?f=%20V_%7Bp%7D%20%3D%2015%20V%20)
Explanation:
<u>Given the following data;</u>
Number of loops in primary coil, Np = 1 loop.
Number of loops in secondary coil, Ns = 8 loops
Voltage in secondary coil, Vs = 120V
To find the voltage in the primary coil, Vp;
Transformer ratio is given by the formula;
![\frac{V_{p}}{V_{s}} = \frac{N_{p}}{N_{s}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BV_%7Bp%7D%7D%7BV_%7Bs%7D%7D%20%3D%20%5Cfrac%7BN_%7Bp%7D%7D%7BN_%7Bs%7D%7D)
Making Vp the subject of formula;
![V_{p} = \frac{N_{p}}{N_{s}} * V_{s}](https://tex.z-dn.net/?f=%20V_%7Bp%7D%20%3D%20%5Cfrac%7BN_%7Bp%7D%7D%7BN_%7Bs%7D%7D%20%2A%20V_%7Bs%7D%20)
Substituting into the equation, we have;
![V_{p} = \frac{1}{8} * 120](https://tex.z-dn.net/?f=%20V_%7Bp%7D%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20%2A%20120%20)
![V_{p} = \frac{120}{8}](https://tex.z-dn.net/?f=%20V_%7Bp%7D%20%3D%20%5Cfrac%7B120%7D%7B8%7D%20)
![V_{p} = 15 V](https://tex.z-dn.net/?f=%20V_%7Bp%7D%20%3D%2015%20V%20)
Therefore, the voltage in the primary coil, Vp is 15 Volts.