Figure P4.1.8 shows a cross-sectional view of a model for a “capacitance” probe designed to…

Figure P4.1.8 shows a cross-sectional view of a model for a “capacitance” probe designed to measure the depth ccfffba7 1bb0 4e1b acf3 8e509f993f8d of penetration of a tool into a metallic groove. Both the “tool” and the groove can be considered constant potential surfaces having the potential difference 09a690ee cd9f 425e 8690 69740cc0e6ba as shown. An insulating segment at the tip of the tool is used as a probe to measure h. This is done by measuring the charge on the surface of the segment. In the following, we start with a field distribution that can be made to fit the problem, determine the charge and complete some instructive manipulations along the way.

Figure P4.1.8

4b8198dd fce6 4c41 8e68 a4ae7061fead

(a) Given that the electric field intensity between the groove and tool takes the form

28b69acb b823 4115 ad8d f44aefba764f

show that 671196e4 4988 4ac3 a17b a140a7eb7570 is irrational and evaluate the coefficient a0dbb5d0 c00f 44f1 b0c1 71422c8cd955 by computing the integral of 671196e4 4988 4ac3 a17b a140a7eb7570 · a57c92eb 23b7 455d 8cfc d71d94d91b27 between point (a) and the origin.

(b) Find the potential function consistent with (a) and evaluate a0dbb5d0 c00f 44f1 b0c1 71422c8cd955 by inspection. Check with part (a).

(c) Using the conventions of Figs. 2.7.3 and 4.1.3, sketch lines of constant potential and electric field E for the region between the groove and the tool surfaces.

Figs. 2.7.3

de1bcc68 7262 4ae8 91b6 a074fbbd8ad2

Fig. 4.1.3

5cff2384 f4f8 4276 9c78 d0e6aeae4874

(d) Determine the total charge on the insulated segment, given 09a690ee cd9f 425e 8690 69740cc0e6ba. (Hint: Use the integral form of Gauss’ law with a convenient surface S enclosing the electrode.)

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with MyhomeworkGeeks
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Customer reviews in total
Current satisfaction rate
3 pages
Average paper length
Customers referred by a friend
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat
Live ChatWhatsApp

Are You Looking For Assignment Help? We Can Certainly Assist You