If a change in current of `0.01 A` in one coil produces change in magnetic flux of `1.2xx10^(-2)Wb` in the other coil, then the mutual inductance of the two coils in henries

Options

A. (a)0
B. (b)`0.5`
C. (c)`1.2`
D. (d)3

Answer

To solve the problem of finding the mutual inductance of two coils given a change in current and a change in magnetic flux, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**:
The mutual inductance \( M \) between two coils is defined by the formula:
\[ \Phi = M \cdot I \]
where \( \Phi \) is the change in magnetic flux through the second coil and \( I \) is the change in current in the first coil.

2. **Rearranging the Formula**:
We can rearrange the formula to solve for mutual inductance \( M \):
\[ M = \frac{\Phi}{I} \]

3. **Substituting the Given Values**:
We are given:
- Change in current \( I = 0.01 \, \text{A} \)
- Change in magnetic flux \( \Phi = 1.2 \times 10^{-2} \, \text{Wb} \)

Now, substituting these values into the equation:
\[ M = \frac{1.2 \times 10^{-2} \, \text{Wb}}{0.01 \, \text{A}} \]

4. **Calculating the Mutual Inductance**:
Performing the division:
\[ M = \frac{1.2 \times 10^{-2}}{0.01} = 1.2 \times 10^{0} = 1.2 \, \text{H} \]

5. **Final Answer**:
Therefore, the mutual inductance \( M \) of the two coils is:
\[ M = 1.2 \, \text{H} \]