The ratio of primary voltage to secondary voltage in a transformer is 'n'. The ratio of the primary current to secondary current in the transformer is

Options

A. n
B. `1//n`
C. `n^(2)`
D. `1//n^(2)`

Answer

To solve the problem, we need to find the ratio of primary current (Ip) to secondary current (Is) in a transformer, given that the ratio of primary voltage (Vp) to secondary voltage (Vs) is 'n'.

### Step-by-Step Solution:

1. **Understanding the Transformer Relationship**:
In a transformer, the power input to the primary side is equal to the power output from the secondary side, assuming an ideal transformer (no losses). This can be expressed mathematically as:
\[ V_p \cdot I_p = V_s \cdot I_s \]
where \( V_p \) is the primary voltage, \( I_p \) is the primary current, \( V_s \) is the secondary voltage, and \( I_s \) is the secondary current.

2. **Given Ratio of Voltages**:
We are given that the ratio of primary voltage to secondary voltage is:
\[ \frac{V_p}{V_s} = n \]
This can be rearranged to express \( V_p \) in terms of \( V_s \):
\[ V_p = n \cdot V_s \]

3. **Substituting into the Power Equation**:
Substitute \( V_p \) in the power equation:
\[ (n \cdot V_s) \cdot I_p = V_s \cdot I_s \]

4. **Cancelling \( V_s \)**:
Assuming \( V_s \neq 0 \), we can divide both sides of the equation by \( V_s \):
\[ n \cdot I_p = I_s \]

5. **Finding the Ratio of Currents**:
Rearranging the equation gives us the ratio of primary current to secondary current:
\[ \frac{I_p}{I_s} = \frac{1}{n} \]

### Final Answer:
The ratio of primary current to secondary current in the transformer is:
\[ \frac{I_p}{I_s} = \frac{1}{n} \]