Choose the correct options

Options

A. SI unit of magnetic flux is henry ampere
B. SI unit of coefficient of self inductance is J/A
C. SI unit of coefficient of self inductance is `("volt second")/("ampere")`
D. SI unit of magnetic induction is weber

Explanation

To solve the question regarding the correct options related to electromagnetic induction, we will analyze each statement carefully.

### Step-by-Step Solution:

1. **Understanding Magnetic Flux:**
- Magnetic flux (Φ) is defined as the product of the magnetic field (B) and the area (A) through which the field lines pass, and it is given by the formula:
\[ \Phi = B \cdot A \cdot \cos(\theta) \]
- The SI unit of magnetic flux is the Weber (Wb).

2. **Analyzing the First Option:**
- The first option states that the SI unit of magnetic flux is Henry ampere.
- The unit of inductance (L) is Henry (H), and current (I) is measured in amperes (A). However, magnetic flux is not measured in Henry ampere. Therefore, this option is incorrect.

3. **Understanding Self-Inductance:**
- The coefficient of self-inductance (L) is defined as the ratio of the induced EMF (ε) to the rate of change of current (di/dt):
\[ L = \frac{\varepsilon}{\frac{di}{dt}} \]
- The induced EMF is measured in volts (V), and the rate of change of current is measured in amperes per second (A/s). Thus, the unit of self-inductance is:
\[ L = \frac{V}{A/s} = V \cdot \frac{s}{A} = \text{Volt-second per Ampere} \]

4. **Analyzing the Second Option:**
- The second option states that the coefficient of self-inductance is Joule per Ampere.
- Since we established that the unit of self-inductance is Volt-second per Ampere, this option is incorrect.

5. **Understanding Magnetic Induction:**
- The SI unit of magnetic induction (magnetic field strength) is Tesla (T), not Weber.
- 1 Tesla is defined as 1 Weber per square meter (Wb/m²).

6. **Analyzing the Third Option:**
- The third option states that the SI unit of magnetic induction is Tesla.
- This statement is correct.

### Conclusion:
- The correct options are:
- **A:** Incorrect (the SI unit of magnetic flux is not Henry ampere)
- **B:** Incorrect (the coefficient of self-inductance is not Joule per Ampere)
- **C:** Correct (the SI unit of magnetic induction is Tesla)

### Final Answer:
- The correct options are **C**.