When a current of 4 A through primary give rise to a flux of magnitude 1.35 Wb through secondary. What is the coefficient of mutual induction (M)?

Options

A. 2.96 H
B. 5.4 H
C. 0.34 H
D. Zero

Answer

To find the coefficient of mutual induction (M), we can use the formula that relates the mutual induction to the magnetic flux and the current in the primary coil. The formula is given by:

\[ M = \frac{\Phi}{I} \]

where:
- \( M \) is the coefficient of mutual induction,
- \( \Phi \) is the magnetic flux through the secondary coil,
- \( I \) is the current through the primary coil.

**Step-by-step solution:**

1. **Identify the given values:**
- Current \( I = 4 \, \text{A} \)
- Magnetic flux \( \Phi = 1.35 \, \text{Wb} \)

2. **Substitute the values into the formula:**
\[ M = \frac{\Phi}{I} = \frac{1.35 \, \text{Wb}}{4 \, \text{A}} \]

3. **Perform the calculation:**
\[ M = \frac{1.35}{4} = 0.3375 \, \text{H} \]

4. **Round off the result:**
- The coefficient of mutual induction is approximately \( 0.34 \, \text{H} \).

5. **Conclusion:**
- The coefficient of mutual induction \( M \) is \( 0.34 \, \text{H} \).