The secondary coil of a step-up transformer provides the voltage that operates an electrostatic air filter. The turns ratio of the transformer is 42:1. The primary coil is plugged into a standard 120-V outlet. The current in the secondary coil is 2.0 x 10-3 A. Find the power consumed by the air filter.

Respuesta :

Answer:

The power consumed by air filter is 10.08 W

Explanation:

Given:

Primary voltage [tex]V_{p} = 120[/tex] V

Current in secondary coil [tex]I_{s} = 2 \times 10^{-3}[/tex] A

Turn ratio [tex]\frac{N_{s} }{N_{p} } = \frac{42}{1}[/tex]

For finding power consumed by filter,

   [tex]P = V_{p} I_{p}[/tex]

We know that the relation between current and number of turns,

    [tex]\frac{I_{s} }{I_{p} } = \frac{N_{p} }{N_{s} }[/tex]

    [tex]P = V_{p} I_{s} \frac{N_{s} }{N_{p} }[/tex]

    [tex]P = 120 \times 2 \times 10^{-3} \times 42[/tex]

    [tex]P = 10.08[/tex] W

Therefore, the power consumed by air filter is 10.08 W