The induced emf produced when a magnet is inserted into a coil does not depend upon the

Options

A. Number of turns in the coil
B. Resistance of coil
C. Magnetic moment of the magnet
D. Speed of approach of the magnet

Answer

To solve the question regarding the factors on which the induced emf produced when a magnet is inserted into a coil does not depend, we can follow these steps:

### Step 1: Understand the Concept of Induced EMF
Induced emf (electromotive force) is generated in a coil when there is a change in magnetic flux through it. According to Faraday's law of electromagnetic induction, the induced emf (ε) is given by:
\[ \epsilon = -\frac{d\Phi}{dt} \]
where \(\Phi\) is the magnetic flux.

### Step 2: Identify the Factors Affecting Induced EMF
The induced emf depends on several factors:
1. The number of turns (N) in the coil.
2. The rate of change of magnetic field (B) through the coil.
3. The area (A) of the coil.
4. The speed at which the magnet is moved towards or away from the coil.

### Step 3: Analyze Each Option
Now, let's analyze the options given in the question to determine which factor the induced emf does not depend upon:

1. **Number of Turns in the Coil (N)**: The induced emf is directly proportional to the number of turns in the coil. Thus, it depends on this factor.

2. **Resistance of the Coil**: The induced emf is independent of the resistance of the coil. While the induced current is affected by resistance (Ohm's law: \(I = \frac{\epsilon}{R}\)), the induced emf itself does not depend on the resistance. Therefore, this is a candidate for the correct answer.

3. **Magnetic Moment of the Magnet**: The magnetic field produced by the magnet is related to its magnetic moment. Since the induced emf is proportional to the magnetic field, it also depends on the magnetic moment of the magnet.

4. **Speed of Approach of the Magnet**: The induced emf is also dependent on the speed at which the magnet approaches the coil. A faster approach results in a greater change in magnetic flux, thus increasing the induced emf.

### Step 4: Conclusion
Based on the analysis, the induced emf does not depend on the **resistance of the coil**. Hence, the correct answer is option 2.

### Final Answer
The induced emf produced when a magnet is inserted into a coil does not depend upon the **resistance of the coil**.

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