**15. State the direction of the induced current for each case shown below, observing from the side of the magnet.**The diagram illustrates various scenarios involving a loop and a magnet. In each case, a magnet is positioned near a circular loop, with arrows indicating either linear motion (velocity vector \(\vec{v}\)) or rotational motion (\(\omega\)).- **(a)** - The magnet is moving towards the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop. - **(b)** - The magnet is moving away from the loop with the south pole (\(S\)) leading. The velocity vector (\(\vec{v}\)) is directed away from the loop. - **(c)** - The magnet is moving towards the loop with the south pole (\(S\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop. - **(d)** - The magnet is moving away from the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed away from the loop. - **(e)** - The magnet is moving towards the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop, from a position that is more perpendicular compared to case (a). - **(f)** - The loop is rotating about its axis with angular velocity \(\omega\). The magnet remains stationary.Each diagram shows the interaction between the motion of the magnet (or loop) and the resulting electromagnetic induction, where the principle of Lenz's Law can be applied to determine the direction of the induced current in the loop.

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15. State the direction of the induced current for each case shown below, observing from the side of the magnet. (a) (b) (c) (d) (e) (f) 1>

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

**15. State the direction of the induced current for each case shown below, observing from the side of the magnet.**

The diagram illustrates various scenarios involving a loop and a magnet. In each case, a magnet is positioned near a circular loop, with arrows indicating either linear motion (velocity vector \(\vec{v}\)) or rotational motion (\(\omega\)).

- **(a)**
- The magnet is moving towards the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop.

- **(b)**
- The magnet is moving away from the loop with the south pole (\(S\)) leading. The velocity vector (\(\vec{v}\)) is directed away from the loop.

- **(c)**
- The magnet is moving towards the loop with the south pole (\(S\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop.

- **(d)**
- The magnet is moving away from the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed away from the loop.

- **(e)**
- The magnet is moving towards the loop with the north pole (\(N\)) leading. The velocity vector (\(\vec{v}\)) is directed towards the loop, from a position that is more perpendicular compared to case (a).

- **(f)**
- The loop is rotating about its axis with angular velocity \(\omega\). The magnet remains stationary.

Each diagram shows the interaction between the motion of the magnet (or loop) and the resulting electromagnetic induction, where the principle of Lenz's Law can be applied to determine the direction of the induced current in the loop.

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