Question

The 3.5-mv ac electricity from a power transmission line is fed into the primary coil of a transformer. The ratio of the number of turns in the secondary coil to the number in the primary is ns/np = 85. What is the voltage in the secondary coil if the voltage in the primary coil is 3.5 V?

Answer 1

The voltage in the secondary coil of a transformer with a primary coil voltage of 3.5 V and a turn ratio of 85 is 297.5 volts as per the transformer equation.

Step-by-step explanation:

The student's question involves calculating the output voltage of a transformer, given the voltage of the primary coil and the ratio of turns between the secondary and primary coils. To find the voltage in the secondary coil (Vs), we use the transformer equation which states that the ratio of the secondary voltage to the primary voltage (Vp) is equal to the ratio of the number of turns in the secondary coil (Ns) to the number of turns in the primary coil (Np), or Vs/Vp = Ns/Np.

In this case, the primary voltage is 3.5 V and the secondary to primary turn ratio is ns/np = 85. Therefore, the induced voltage in the secondary can be calculated as follows:

Vs = Vp * (Ns/Np)

Vs = 3.5 V * 85

Vs = 297.5 V

The voltage in the secondary coil is 297.5 volts.