Self-lnductance of a Solenoid Part A Learning Goal: Suppose that the current in the solenoid is「t). Within the solenoid, but far from its ends, what is the magnetic field B(t) due to this current? To learn about self-inductance from the example of a long solenoid, Express your answer in terms of I(t), quantities given in the introduction, and relevant constants (such as μ0) To explain self-inductance, it is helpful to consider the specific example of a long solenoid, as shown in the figure. This solenoid has only one winding, and so the EMF induced by its changing current appears across the solenoid itself. This contrasts with mutual inductance, where this voltage appears across a second coil wound on the same cyvlinder as the first. Figure 1 Assume that the solenoid has radius R, length Z along the z axis, and is wound with n turns per unit length so that the total number of turns is eaual to n.7. Assume Submit My Answers Give Up Figure 1 4 of 1 Incorrect Try Again; 5 attempts remaining Part B What is the magnetic flux φ1 (t) through a single turn of the solenoid? Express your answer in terms of the magnetic field B(t), quantities given in the introduction, and any needed constants. Air-Core Solenoid Schematic Symbol Φ, (t) = Submit My Answers Give Up

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