In electromagnetic induction, the induced emf is independent of

Options

A. change of flux
B. time
C. number of turns in the coil
D. resistance of the coil

Answer

To solve the question regarding the independence of induced emf in electromagnetic induction, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Induced EMF**:
The induced electromotive force (emf) in a coil is determined by the change in magnetic flux through the coil over time. According to Faraday's law of electromagnetic induction, the induced emf (ε) can be expressed as:
\[ \epsilon = -\frac{d\Phi}{dt} \]
where \( \Phi \) is the magnetic flux linked with the coil.

2. **Total Flux Linked with the Coil**:
If a coil has \( n \) turns and the magnetic flux linked with each turn is \( \Phi \), then the total flux \( \Phi_{\text{total}} \) linked with the coil is:
\[ \Phi_{\text{total}} = n \cdot \Phi \]

3. **Applying Faraday's Law**:
Substituting the total flux into Faraday's law gives:
\[ \epsilon = -n \frac{d\Phi}{dt} \]
This shows that the induced emf depends on the number of turns \( n \) and the rate of change of magnetic flux \( \frac{d\Phi}{dt} \).

4. **Identifying Independent Factors**:
From the equation, we can see that:
- The induced emf is dependent on the change of flux \( \frac{d\Phi}{dt} \).
- The induced emf is also dependent on the number of turns \( n \).
- The induced emf does not depend on the resistance of the coil. Resistance affects the current flowing through the coil but not the induced emf itself.

5. **Conclusion**:
Therefore, the induced emf is independent of the resistance of the coil. The correct answer to the question is that the induced emf is independent of resistance.

### Final Answer:
The induced emf is independent of the resistance of the coil.

---