The number of turns in the primary circuit is 1000 and the number of turns in the secondary circuit is 2000. If the input voltage is 220V. Then what is the output voltage?

Options

A. 110
B. 220
C. 440
D. 880

Explanation

To solve the problem, we will use the formula for an ideal transformer, which relates the primary and secondary voltages to 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 circuit (Np) = 1000
- Number of turns in the secondary circuit (Ns) = 2000
- Input voltage (Vp) = 220V

2. **Write the Transformer Equation:**
The relationship between the primary voltage (Vp), secondary voltage (Vs), number of turns in the primary (Np), and number of turns in the secondary (Ns) is given by the formula:
\[ \frac{Vs}{Vp} = \frac{Ns}{Np} \]

3. **Rearrange the Formula to Find Vs:**
We can rearrange the formula to solve for the secondary voltage (Vs):
\[ Vs = \frac{Ns}{Np} \times Vp \]

4. **Substitute the Known Values:**
Now, substitute the values of Ns, Np, and Vp into the equation:
\[ Vs = \frac{2000}{1000} \times 220 \]

5. **Calculate the Output Voltage (Vs):**
Simplifying the fraction:
\[ Vs = 2 \times 220 = 440V \]

6. **Conclusion:**
The output voltage (Vs) is 440 volts.

### Final Answer:
The output voltage is **440V**.

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