Calculating turns in a primary coil of a transformer

[Bobazoide]

Homework Statement

A 100 W transformer (Ns = 1500) has an input voltage of 9.0V and an output current of 0.65 A

Homework Equations

P = IV
Np/Ns = Is/Ip = Vp/Vs

The Attempt at a Solution

The problem is that I'm not sure what a 100 watt transformer means. Assuming it means that it outputs, not inputs, 100 watts of power, then:

P = IV
100 = 0.65 V
V = 154 V

Np/Ns = Vp/Vs

Np/1500 = 9/154
Np = 87.66 turns.

I feel that mathematically I am doing everything correctly, but I thought that because voltage was being increased then the amount of coils in the primary coil should be more than in the secondary.

Thanks.

 

[gneill]

Homework Statement

A 100 W transformer (Ns = 1500) has an input voltage of 9.0V and an output current of 0.65 A

Homework Equations

P = IV
Np/Ns = Is/Ip = Vp/Vs

The Attempt at a Solution

The problem is that I'm not sure what a 100 watt transformer means. Assuming it means that it outputs, not inputs, 100 watts of power, then:

P = IV
100 = 0.65 V
V = 154 V

Np/Ns = Vp/Vs

Np/1500 = 9/154
Np = 87.66 turns.

I feel that mathematically I am doing everything correctly, but I thought that because voltage was being increased then the amount of coils in the primary coil should be more than in the secondary.

Thanks.

Looks like you've done just fine. A step-up transformer has more turns on the secondary than on the primary. It's the ratio of turns that sets the "magnification" factor for the voltage.

 

[Bobazoide]

Oh okay, I wasn't clear on that. Thank you very much!