13. A step up transformer has 250 turns on its primary and 500 turns on it secondary. When the primary is connected to a 200 V and the secondary is connected to a floodlight that draws 5A, what is the power output? Please show ALL of your work.

Respuesta :

Answer:

The output power is 2 kW

Explanation:

It is given that,

Number of turns in primary coil, [tex]N_p=250[/tex]

Number of turns in secondary coil, [tex]N_s=500[/tex]

Voltage of primary coil, [tex]V_p=200\ V[/tex]

Current drawn from secondary coil, [tex]I_s=5\ A[/tex]

We need to find the power output. It is equal to the product of voltage and current. Firstly, we will find the voltage of secondary coil as :

[tex]\dfrac{N_p}{N_s}=\dfrac{V_p}{V_s}[/tex]

[tex]\dfrac{250}{500}=\dfrac{200}{V_s}[/tex]

[tex]V_s=400\ V[/tex]

So, the power output is :

[tex]P_s=V_s\times I_s[/tex]

[tex]P_s=400\ V\times 5\ A[/tex]

[tex]P_s=2000\ watts[/tex]

or

[tex]P_s=2\ kW[/tex]

So, the output power is 2 kW. Hence, this is the required solution.