An ideal transformer steps 8V up to 2000V and the 4000 turn secondary coil carries 2 A.
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An ideal transformer steps 8V up to 2000V and the 4000 turn secondary coil carries 2 A.

[From: ] [author: ] [Date: 12-08-09] [Hit: ]
FInd the current value in the primary.c. What is the power of this transformer?For A and B, I am just checking my work. I do not know how to do C,......
a. Find the number of turns on the primary.
b. FInd the current value in the primary.
c. What is the power of this transformer?
For A and B, I am just checking my work. I do not know how to do C, though.
Thanks!

-
1- Vs = voltage in secondary coil
Vp= voltage in primary

Ns = number of turns in secondary coil
Np= number of turns in primary coil


using the formula : Vs/Vp = Ns/Np , Np = 4000/(2000/8) , so, Np=16 turns.


2- here, Is = current in the secondary,
Ip= current in the primary

using the formula, Vs * Is = Vp * Ip, Ip = (2000*2)/ 8, So, Ip = 500 A


3- to find the power, power input and output is calculated , power input= Vp * Ip , that is, P-in = 8* 500, so, power in = 4000 W or 4 kW

power output= Vs * Is , P-out = 2000 * 2 , so, power out= 4000 W, or 4 kW.

so,since power in and power out are equal, the transformer is an ideal one

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Vp / Vs = Np / Ns = is / ip

8 / 2000 = Np / 4000 = 2 / ip

a.) ..... Np = 8(4000) / 2000 = 16

b.) ..... ip = 2(2000) / 8 = 500 A

c.) ..... Power = (Vp) (ip) = (Vs) (is)
...................... (8) (500) = (2000) (2) = 4000 W rating

An ideal transformer consumes zero power; it only transforms it's voltage
to current ratio.
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