2000V- 200V, 20kVA transformer has 66 turns in the secondary. Calculate the primary and secondary full-load current, neglect power losses in transformer.

Answer

To solve the problem of finding the primary and secondary full-load current of a transformer, we can follow these steps:

### Step 1: Identify the given values
- Primary voltage (\(V_p\)) = 2000 V
- Secondary voltage (\(V_s\)) = 200 V
- Power rating of the transformer (\(S\)) = 20 kVA = 20,000 VA
- Number of turns in the secondary (\(N_s\)) = 66 turns

### Step 2: Calculate the primary current (\(I_p\))
Using the formula for power in terms of voltage and current:
\[ S = V_p \cdot I_p \]
We can rearrange this formula to find the primary current:
\[ I_p = \frac{S}{V_p} \]
Substituting the known values:
\[ I_p = \frac{20,000 \text{ VA}}{2000 \text{ V}} = 10 \text{ A} \]

### Step 3: Calculate the secondary current (\(I_s\))
Similarly, we can use the same power formula for the secondary side:
\[ S = V_s \cdot I_s \]
Rearranging gives us:
\[ I_s = \frac{S}{V_s} \]
Substituting the known values:
\[ I_s = \frac{20,000 \text{ VA}}{200 \text{ V}} = 100 \text{ A} \]

### Final Results
- Primary full-load current (\(I_p\)) = 10 A
- Secondary full-load current (\(I_s\)) = 100 A