Question

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

2000 W

Step-by-step explanation:

First of all, we need to find the output voltage in the transformer, by using the transformer equation:

`(V_1)/(N_1)=(V_2)/(N_2)`

where here we have

V1 = 200 V is the voltage in the primary coil

V2 is the voltage in the secondary coil

N1 = 250 is the number of turns in the primary coil

N2 = 500 is the number of turns in the secondary coil

Solving for V2,

`V_2 = N_2 (V_1)/(N_1)=(500) (200 V)/(250)=400 V`

Now we can find the power output, which is given by

P = VI

where

V = 400 V is the output voltage

I = 5 A is the output current

Substituting,

P = (400 V)(5 A) = 2,000 W