You can
put this solution on YOUR website!Vp over VS = Np over Ns this
transposes to Vs= Vp x Ns over Np
Let's do it with plain letters first.
A C
——— = ———
B D
Multiply both sides by B*D/1
B*D A B*D C
——— * ——— = ——— * ———
1 B 1 D
Cancel the B's on the left and the D's on the right
B*D A B*D C
——— * ——— = ——— * ———
1 B 1 D
D*A = B*C
Divide both sides by C
D*A B*C
——— = ———
C C
Cancel the C's on the right:
D*A B*C
——— = ———
C C
D*A
——— = B
C
or if you prefer
D*A
B = ———
C
Now put Vp where I have A, VS where I have B,
Np where I have C, and Ns where I have D.
Edwin
You can
put this solution on YOUR website!Vp over VS = Np over Ns this transposes to Vs= Vp x Ns over Np
The general rule for solving equations is "whatever you do to
one side of the equation you must do to the other side".
You have Vp/Vs = Np/Ns
You want to solve this for Vs so you need to get Vs into the numerator.
Multiply both sides by Vs to get:
Vs(Vp/Vs)=Vs(Np/Ns)
Cancel the Vs's on the left side to get:
Vp = Vs(Np/Ns)
Now multiply both sides by (Ns/Np) to get:
Vp(Ns/Np)= Vs(Np/Ns)(Ns/Np)
Cancel the Np's and the Ns's on the right side to get
Vp(Ns/Np)=Vs
This is the "transformed" equation you want.
You may think this is very cumbersome. I assure you
there are quicker ways to reach this final goal but
you wanted to see all the steps.
Cheers,
Stan H.
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