Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31, Problem 41AP
To determine

The ratio ba for a toroidal inductor.

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You are working on an LC circuit for an experiment you are performing in your basement. You have an appropriate capacitor, but you need to build your own inductor. You wish to cut a wooden ring with a rectangular cross section, as shown, from wood with thickness h = 1.00 cm. You want to wrap 500 turns of wire around it to form a toroidal inductor. For your experiment, you need to have 1.82 × 10–4 J of energy stored in the inductor when it carries a current of 2.00 A. In order to cut the appropriate wooden ring, you need to determine the ratio b/a. Ignore any effect of the wood core on the magnetic field.
You are working on an LC circuit for an experiment you are performing in your basement. You have an appropriate capacitor, but you need to build your own inductor. You wish to cut a wooden ring with a rectangular cross section, as shown below, from wood with thickness  h.You want to wrap N turns of wire around it to form a toroidal inductor. For your experiment, you need to have energy  UB stored in the inductor when it carries a current of i. In order to cut the appropriate wooden ring, you need to determine the ratio   Ignore any effect of the wood core on the magnetic field. (Use any variable or symbol stated above along with the following as necessary: μ0.)
You are working on an LC circuit for an experiment you are performing in your basement. You have an appropriate capacitor, but you need to build your own inductor. You wish to cut a wooden ring with a rectangular cross section, as shown, from wood with thickness h. You want to wrap N turns of wire around it to form a toroidal inductor. For your experiment, you need to have energy UB stored in the inductor when it carries a current i. In order to cut the appropriate wooden ring, you need to determine the ratio b/a. Ignore any effect of the wood core on the magnetic field.

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Physics for Scientists and Engineers with Modern Physics

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