A conducting sphere is charged up such that the potential on…

A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity). If the sphere’s radius were half as large, but the charge on the sphere were the same, what would be the potential on the surface relative to infinity?

Set up the integral for the potential with respect to infini…

Set up the integral for the potential with respect to infinity of a the finite line charge with charge per unit length, λ, at a point a distance, d, above the line charge. See diagram below. You don’t have to perform the integration. Give the integral in terms of x, a, b, d, λ, α or β including the limits of the integration. You will not necessarily use all of the symbols in the answer.      You are expected to finish answering the question during the 90 minutes period so your answer should be uploaded within the initial 90 minutes of when you started Midterm exam 1.  Photograph or otherwise copy the sheet of paper and submit your answer using the quiz assignment Midterm 1 part 2.   The assignment lasts for 15 minutes.   If your computer seems jammed after using honorlock for Midterm 1 reboot your computer and then submit the assignment or use another device such as your phone or tablet.  If you have insurmountable technical difficulties uploading the question email it to Prof Herndon: mherndon@wisc.edu.  

An ideal air-filled parallel-plate capacitor has round plate…

An ideal air-filled parallel-plate capacitor has round plates and carries a fixed amount of equal but opposite charge on its plates. All the geometric parameters of the capacitor (plate diameter and plate separation) and the charge are now doubled. If the original capacitance was C0, what is the new capacitance?

You are given a copper bar of dimensions 3 cm × 5 cm × 8 cm…

You are given a copper bar of dimensions 3 cm × 5 cm × 8 cm and asked to attach leads to it in order to make a resistor.(If you want to achieve the LARGEST possible resistance, you should attach the leads to the opposite faces that measureA) 3 cm × 5 cm.B) 3 cm × 8 cm.C) 5 cm × 8 cm.D) Any pair of faces produces the same resistance.