![]() ![]() Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: ![]() If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the Thus, there is no contribution to the line integral from segment 3. Therefore, there is no enclosed current and no magnetic field according to Ampère’s law. ![]() If you consider an Ampère’s law loop outside of the solenoid, the current flows in opposite directions on different segments of the loop. Along segment 3, B → = 0 B → = 0 because the magnetic field is zero outside the solenoid. Therefore, segments 2 and 4 do not contribute to the line integral in Ampère’s law. Along segments 2 and 4, B → B → is perpendicular to part of the path and vanishes over the rest of it. Along segment 1, B → B → is uniform and parallel to the path as shown in Equation 12.28. Consider the closed path of Figure 12.20. We now use these properties, along with Ampère’s law, to calculate the magnitude of the magnetic field at any location inside the infinite solenoid. You can find the direction of B → B → with a right-hand rule: Curl your fingers in the direction of the current, and your thumb points along the magnetic field in the interior of the solenoid. Where n is the number of turns per unit length. The number of turns per unit length is N/ L therefore, the number of turns in an infinitesimal length dy are ( N/ L) dy turns. A current I is flowing along the wire of the solenoid. A solenoid is generally easy to wind, and near its center, its magnetic field is quite uniform and directly proportional to the current in the wire.įigure 12.19 shows a solenoid consisting of N turns of wire tightly wound over a length L. Solenoids are commonly used in experimental research requiring magnetic fields. SolenoidsĪ long wire wound in the form of a helical coil is known as a solenoid. In this section, we examine the magnetic field typical of these devices. In one form or another, they are part of numerous instruments, both large and small. Two of the most common and useful electromagnetic devices are called solenoids and toroids.
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