# 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?

##### 1 Answer
Mar 14, 2017

The power output is $= 2 k W$

#### Explanation:

The equation of the transformer is

${n}_{p} / {n}_{s} = {U}_{p} / {U}_{s}$

${n}_{p} = 250 t$

${n}_{s} = 500 t$

${U}_{p} = 200 V$

${U}_{s} = {n}_{s} / {n}_{p} \cdot {U}_{p}$

$= \frac{500}{250} \cdot 200 = 400 V$

The power output is

${P}_{s} = {U}_{s} \cdot {I}_{s} = 400 \cdot 5 = 2000 W = 2 k W$