Question

Question 18 (1 points) A step-up transformer connected to a 110-V line is used to supply a hydrogen-gas discharge tube with 5.0 kV (rms). The tube dissipates 75 W of power. What is the ratio of the number of turns in the secondary winding to the number of turns in the primary winding?

Answer 1

N₂/N₁ = 45

Step-by-step explanation:

The relation of the number of turns with the voltage is given by the EMF equation of transformer:

`(V_(2))/(V_(1)) = (N_(2))/(N_(1))` (1)

where V₁: voltage of the primary winding, V₂: voltage of the secondary winding, N₁: number of turns in the primary winding, and N₂: number of turns in the secondary winding

Assuming that the primary winding is connected to the input voltage supply, and using equation (1), we can calculate the ratio of N₂ to N₁:

`(N_(2))/(N_(1)) = (V_(2))/(V_(1)) = (5.0 \cdot 10^(3)V)/(110V) = 45`

So, the ratio N₂/N₁ is 45.

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