To illustrate the magnetic field lines for the horseshoe magnet, we start by identifying the poles of the magnet. The poles are usually labeled as ‘North’ and ‘South.’ In a horseshoe magnet, the field lines emerge from the North pole and curve around to enter the South pole, establishing a closed loop.
Since there is a current-carrying wire placed perpendicular to the page, with the current coming out of the page, we apply the right-hand rule to determine the direction of the magnetic field created by the wire. When we point the thumb of the right hand in the direction of the current (out of the page), the fingers curl around the wire indicating the direction of the magnetic field circles that are generated around it.
As a result, when drawing the magnetic field lines, we show the lines emanating from the North pole of the horseshoe magnet towards the South pole, reflecting the established field from the magnet, while also incorporating circular field lines around the wire that are directed in the direction provided by the right-hand rule. It’s important to show that these field lines will interact with one another; the current-carrying wire’s field will combine with the magnet’s field, producing a resulting pattern that reflects both sources of magnetic influence.
This method of drawing magnetic field lines not only helps visualize the magnetic fields but also illustrates how they interact. By presenting them clearly, we aid in understanding fundamental concepts of electromagnetism.