How to find the turns ratio between the primary and secondary coils.

[nontradstuden]

Homework Statement

Find the turns ratio across the transformer such that a spark is given off at the points AB. The distance from point A to point B is 5.00 mm.

AB is the distance across the secondary coil.

The frequency and voltage of the primary coil is given.

Homework Equations

N_p /N_s = V_p / V_s = I_s /I_p

The Attempt at a Solution

I don't know where to start. I got it wrong. I was given the answer, but not the solution to the problem. Could I get some help on where to start?

 

[gneill]

What potential must exist between points A and B in order for a spark to jump the gap?

 

[nontradstuden]

gneill,

Thanks for helping. I honestly don't know what I was thinking. I knew the potential of the secondary coil had to be the dielectric constant of air multiplied by the distance AB.

 

[gneill]

gneill,

Thanks for helping. I honestly don't know what I was thinking. I knew the potential of the secondary coil had to be the dielectric constant of air multiplied by the distance AB.

I think you mean the dielectric breakdown strength of air

 

[Nickie]

As a scientist, the first step in solving this problem would be to gather all the necessary information. This includes the distance between points A and B, the frequency and voltage of the primary coil, and any other relevant data.

Next, I would use the equation N_p /N_s = V_p / V_s to find the turns ratio between the primary and secondary coils. This equation states that the ratio of the number of turns in the primary coil to the number of turns in the secondary coil is equal to the ratio of the primary voltage to the secondary voltage.

To find the number of turns in the secondary coil, we can use the distance AB and the known frequency of the primary coil. The formula for calculating the number of turns in a coil is N = (L * f)/c, where N is the number of turns, L is the length of the coil, f is the frequency, and c is the speed of light. In this case, L is equal to 5.00 mm and c is a constant value.

Once we have the number of turns in the secondary coil, we can use the turns ratio equation to find the number of turns in the primary coil. This will give us the turns ratio between the two coils.

In conclusion, to find the turns ratio between the primary and secondary coils, we need to gather all the necessary information, use the turns ratio equation, and calculate the number of turns in the secondary and primary coils.