A step up transformer has turn ratio 10:1 . A cell of e.m.f 2 volts is fed to the primary . Secondary voltage developed is :

Options

A. 20 V
B. 10 V
C. 2V
D. Zero

Answer

To solve the problem of finding the secondary voltage developed in a step-up transformer with a turns ratio of 10:1 when a cell of e.m.f. 2 volts is fed to the primary, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Transformer Basics**:
- A transformer operates on the principle of electromagnetic induction and consists of two coils: the primary and the secondary. The voltage across the primary and secondary coils is related to the number of turns in each coil.

2. **Identify the Turns Ratio**:
- The given turns ratio is 10:1. This means that for every 10 turns in the primary coil, there is 1 turn in the secondary coil.

3. **Use the Transformer Voltage Ratio Formula**:
- The relationship between the primary voltage (Vp) and the secondary voltage (Vs) in a transformer can be expressed as:
\[ \frac{V_s}{V_p} = \frac{N_s}{N_p} \]
- Where \(N_s\) is the number of turns in the secondary coil and \(N_p\) is the number of turns in the primary coil.

4. **Substitute the Known Values**:
- Here, \(V_p = 2\) volts (the voltage applied to the primary) and the turns ratio is 10:1. Therefore, \(N_s = 1\) and \(N_p = 10\).
- Substitute these values into the formula:
\[ \frac{V_s}{2} = \frac{1}{10} \]

5. **Solve for Vs**:
- Rearranging the equation gives:
\[ V_s = 2 \times \frac{1}{10} \]
- Thus:
\[ V_s = \frac{2}{10} = 0.2 \text{ volts} \]

6. **Conclusion**:
- The secondary voltage developed is \(0.2\) volts.

### Final Answer:
The secondary voltage developed is **0.2 volts**.

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