- #1
ch5497
- 2
- 0
1. It is required to pass a current of between 6.0A and 6.5A through an impedance of (1.6 + 1.2i) ohms. With only a 230V supply available, it is proposed to use a transformer for impedance matching. A transformer is available with a turns ratio of 16:1. A laboratory test showed that with the secondary winding short-circuited, the input to the primary winding was 1A and 102.4W for an excitation voltage of 128V.
Determine whether the transformer would be suitable for this application
2. None specified
3. So I've got the following so far;
P = I2R
102.4W = 12R
R = 102.4 ohms
V = IZ
128V = 1 . Z
Z = 128 ohms
X2= Z2-R2
X2= 1282-102.42
X = 384/5 = 76.8 ohms
Now, do I need to refer this impedance over to the secondary by multiplying by the turns ratio squared, and then add on the impedance given in the question? I could then find the current being drawn from the 230V and see if it's in the range required? I've done this, and gotten an answer, but without knowing if my method is correct, I don't know whether my decision on whether the transformer is suitable or not is accurate.
Thanks in advance.
Determine whether the transformer would be suitable for this application
2. None specified
3. So I've got the following so far;
P = I2R
102.4W = 12R
R = 102.4 ohms
V = IZ
128V = 1 . Z
Z = 128 ohms
X2= Z2-R2
X2= 1282-102.42
X = 384/5 = 76.8 ohms
Now, do I need to refer this impedance over to the secondary by multiplying by the turns ratio squared, and then add on the impedance given in the question? I could then find the current being drawn from the 230V and see if it's in the range required? I've done this, and gotten an answer, but without knowing if my method is correct, I don't know whether my decision on whether the transformer is suitable or not is accurate.
Thanks in advance.