In a transformer the transformation ratio is 0.3. If 220 V ac is fed to the primary, then the voltage across the secondary is

Options

A. 44 V
B. 55 V
C. 60 V
D. 66 V

Explanation

To solve the problem step by step, we will use the formula related to the transformation ratio of a transformer.

### Step 1: Understand the Transformation Ratio
The transformation ratio (K) of a transformer is defined as the ratio of the voltage across the secondary coil (Vs) to the voltage across the primary coil (Vp). It can also be expressed in terms of the number of turns in the coils:
\[ K = \frac{Vs}{Vp} = \frac{Ns}{Np} \]
where:
- \( K \) is the transformation ratio,
- \( Vs \) is the voltage across the secondary,
- \( Vp \) is the voltage across the primary,
- \( Ns \) is the number of turns in the secondary coil,
- \( Np \) is the number of turns in the primary coil.

### Step 2: Substitute the Given Values
From the problem, we know:
- \( K = 0.3 \)
- \( Vp = 220 \, V \)

We need to find \( Vs \).

### Step 3: Rearrange the Formula to Solve for Vs
Using the transformation ratio formula:
\[ Vs = K \times Vp \]

### Step 4: Plug in the Values
Now, substituting the known values into the equation:
\[ Vs = 0.3 \times 220 \]

### Step 5: Calculate Vs
Now, perform the multiplication:
\[ Vs = 0.3 \times 220 = 66 \, V \]

### Final Answer
The voltage across the secondary (Vs) is:
\[ Vs = 66 \, V \]

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