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The north pole of a long bar magnet was ...

The north pole of a long bar magnet was pushed slowly into a short solenoid connected to a galvanmeter. The magnet was held stationary for a few seconds with the north pole in the middle of the solenoid and then withdrawn repidly. The maximum deflection of the galvanometer was observed when the magnet was

A

moving toward the solenoid

B

moving into the solenoid

C

at rest inside the solenoid

D

moving out of the solenoid

Text Solution

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The correct Answer is:
To solve the problem, we need to analyze the behavior of the galvanometer when the north pole of a bar magnet is moved in relation to a solenoid. Here’s a step-by-step breakdown of the solution: ### Step 1: Understanding the Setup We have a long bar magnet and a short solenoid connected to a galvanometer. The north pole of the magnet is pushed into the solenoid, held stationary, and then withdrawn rapidly. ### Step 2: Identifying the Conditions for Induced EMF According to Faraday's law of electromagnetic induction, an electromotive force (EMF) is induced in the solenoid when there is a change in magnetic flux through it. The induced EMF is proportional to the rate of change of magnetic flux. ### Step 3: Analyzing the Movement of the Magnet 1. **Moving Towards the Solenoid**: As the north pole of the magnet approaches the solenoid, the magnetic flux through the solenoid increases. This will induce a current in the solenoid and cause a deflection in the galvanometer. 2. **At Rest Inside the Solenoid**: When the magnet is held stationary inside the solenoid, there is no change in magnetic flux. Therefore, there is no induced EMF and no deflection in the galvanometer. 3. **Moving Out of the Solenoid**: When the magnet is withdrawn rapidly from the solenoid, the magnetic flux through the solenoid decreases rapidly. This rapid change in flux induces a current in the opposite direction, leading to a maximum deflection in the galvanometer. ### Step 4: Conclusion The maximum deflection of the galvanometer occurs when the magnet is withdrawn rapidly from the solenoid. Thus, the correct answer is that the maximum deflection is observed when the magnet is moving out of the solenoid. ### Final Answer: The maximum deflection of the galvanometer was observed when the magnet was moving out of the solenoid. ---
To solve the problem, we need to analyze the behavior of the galvanometer when the north pole of a bar magnet is moved in relation to a solenoid. Here’s a step-by-step breakdown of the solution: ### Step 1: Understanding the Setup We have a long bar magnet and a short solenoid connected to a galvanometer. The north pole of the magnet is pushed into the solenoid, held stationary, and then withdrawn rapidly. ### Step 2: Identifying the Conditions for Induced EMF According to Faraday's law of electromagnetic induction, an electromotive force (EMF) is induced in the solenoid when there is a change in magnetic flux through it. The induced EMF is proportional to the rate of change of magnetic flux. ...
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