Question

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.

Answer 1

The output power is 2 kW

Step-by-step explanation:

It is given that,

Number of turns in primary coil,
`N_p=250`

Number of turns in secondary coil,
`N_s=500`

Voltage of primary coil,
`V_p=200\ V`

Current drawn from secondary coil,
`I_s=5\ A`

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 :

`(N_p)/(N_s)=(V_p)/(V_s)`

`(250)/(500)=(200)/(V_s)`

`V_s=400\ V`

So, the power output is :

`P_s=V_s* I_s`

`P_s=400\ V* 5\ A`

`P_s=2000\ watts`

or

`P_s=2\ kW`

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