A model electric train requires 12 V to operate. When connected to a household voltage of 120 V, a transformer is needed. If the primary coil has 500 turns, how many turns must the secondary coil have?
(12/120) * 500
To determine the number of turns the secondary coil must have, we can use the turns ratio equation:
N₁/N₂ = V₁/V₂
Where:
N₁ = number of turns in the primary coil
N₂ = number of turns in the secondary coil
V₁ = voltage across the primary coil
V₂ = voltage across the secondary coil
We know:
V₁ = 120 V (household voltage)
V₂ = 12 V (required voltage for the train)
Substituting the known values into the equation:
500/N₂ = 120/12
Next, we can simplify and solve for N₂:
500/N₂ = 10
To isolate N₂, we can cross-multiply:
N₂ * 10 = 500
Dividing both sides by 10:
N₂ = 500/10
N₂ = 50
Therefore, the secondary coil must have 50 turns in order to operate the model electric train with a household voltage of 120 V.