Explain the observations and conclusions about induced currents from magnetic field changes, and predict galvanometer deflection directions in figures (v) and (vi).

Here are the answers to your questions based on the provided diagrams:

Briefly explain your observations:

• Figures (i) and (ii): When the magnet is stationary relative to the coil (i), the galvanometer shows no deflection, indicating no induced current. When the magnet moves relative to the coil (ii), the galvanometer deflects, indicating that an electric current is induced in the coil.
• Figures (iii) and (iv): The direction of the induced current (and thus the galvanometer deflection) depends on the direction of the magnet's motion. When the North pole of the magnet moves towards the coil (iii), the galvanometer deflects in one direction (e.g., right). When the North pole of the magnet moves away from the coil (iv), the galvanometer deflects in the opposite direction (e.g., left).

What is your conclusion on the observations above?
An electric current is induced in a coil only when there is a change in magnetic flux through the coil, which occurs due to relative motion between a magnet and the coil. The direction of this induced current is such that it opposes the change in magnetic flux that produced it (Lenz's Law).

What is the direction of deflection of the Galvanometer in figure (v) and (vi)?

• In figure (v), the galvanometer deflects to the right.
• In figure (vi), the galvanometer deflects to the left.

What is the polarity of the A end of the coil?

• In figure (v): Current flows from the positive terminal of the battery, through the galvanometer (deflecting right), into end B of the coil, and out of end A. Using the right-hand grip rule for a solenoid, if current flows from B to A, end A becomes a North pole.
• In figure (vi): The galvanometer deflects to the left, indicating current flow in the opposite direction compared to (v). This means current flows from A to B. Using the right-hand grip rule, end A becomes a South pole.

Did the A end repel or attract the magnetic compass needle? Explain why.

• For figure (v): The A end of the coil becomes a North pole. Therefore, it would repel the North pole of a magnetic compass needle and attract the South pole of the compass needle. This is because like poles repel, and opposite poles attract.
• For figure (vi): The A end of the coil becomes a South pole. Therefore, it would attract the North pole of a magnetic compass needle and repel the South pole of the compass needle. This is because opposite poles attract, and like poles repel.