The electric motor in a toy train requires a voltage of 3.0 V. Find the ratio of loops on the p

step 1 Hi, here in this given problem, voltage required by the electric motor of toy train, that is VO,

The electric motor in a toy train requires a voltage of 3.0...

The electric motor in a toy train requires a voltage of $3.0 \mathrm{~V}$. Find the ratio of loops on the primary coil to loops on the secondary coil in a transformer that will step down the 110 -V household voltage to $3.0 \mathrm{~V}$.

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Key Concepts

Transformer

A transformer is an electrical device that transfers energy between circuits through electromagnetic induction. It typically consists of primary and secondary coils and is used to change voltage levels in AC electrical systems.

Turns Ratio

The turns ratio is the ratio of the number of windings in the primary coil to that in the secondary coil. This ratio directly determines how input voltage is transformed into output voltage, based on the principle that the voltage ratio equals the turns ratio.

Voltage Ratio

The voltage ratio in a transformer relates the input and output voltages to the corresponding number of turns in the coils. Mathematically, it is expressed as V_primary/V_secondary = N_primary/N_secondary, indicating that a higher number of loops results in a higher voltage on that side of the transformer.

Step-down Transformer

A step-down transformer is designed to reduce a higher input AC voltage to a lower output voltage. It achieves this by having fewer turns in the secondary coil compared to the primary coil, following the relationship set by the turns ratio.

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