A step-down transformer has 50 turns on secondary and 1000 turns on primary winding. If a transformer is connected to 220 V, 1A C AC source, then what is output current of the transformer ?

Options

A. `1/20 A`
B. 20 A
C. 100 A
D. 0.083333333333333

Explanation

To solve the problem step by step, we will use the properties of transformers and the relationships between voltage, current, and the number of turns in the primary and secondary coils.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Number of turns in the primary coil (N_p) = 1000 turns
- Number of turns in the secondary coil (N_s) = 50 turns
- Voltage in the primary coil (V_p) = 220 V
- Current in the primary coil (I_p) = 1 A

2. **Use the Transformer Equation for Voltage:**
The relationship between the primary and secondary voltages and the number of turns is given by:
\[ \frac{V_s}{V_p} = \frac{N_s}{N_p} \]
Substituting the known values:
\[ \frac{V_s}{220} = \frac{50}{1000} \]

3. **Calculate the Secondary Voltage (V_s):**
Rearranging the equation to find \(V_s\):
\[ V_s = 220 \times \frac{50}{1000} \]
\[ V_s = 220 \times 0.05 = 11 \text{ V} \]

4. **Use the Power Conservation Principle:**
The power in the primary coil is equal to the power in the secondary coil:
\[ V_p \times I_p = V_s \times I_s \]
Substituting the known values:
\[ 220 \times 1 = 11 \times I_s \]

5. **Calculate the Secondary Current (I_s):**
Rearranging the equation to find \(I_s\):
\[ I_s = \frac{220}{11} \]
\[ I_s = 20 \text{ A} \]

### Final Answer:
The output current of the transformer is **20 A**.

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