2.2 In the complex plane, there are 5 different fifth roots of 1. Deter- mine the five values for 1, and express them in polar form.
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A: Required: Potential due to a long straight wire.
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Q: A particle moves in a potential given by U(x) = -7 x5 + 52 x + 85 (J). Calculate the x coordinate…
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- For Problem 8.16, how do I prove the relations and give the correct expressions?Verify that each of the following force fields is conservative. Then find, for each, a scalar potential o such that F = -Vo. F = (3x²yz − 3y)i + (x³z − 3x)j + (x³y + 2z)k.A particle moves in a potential given by U(x) = -7 x3 + 2.1 x (J). Calculate the location of the stable equilibrium of this potential, in m. (Please answer to the fourth decimal place - i.e 14.3225)
- Problem 4.16 It is desired to find the equation for the shortest distance be- tween two points on a sphere. Determine the functional for this problem. (Use spherical coordinates.)Figure 1.52 shows a spherical shell of charge, of radiusa and surface density σ, from which a small circular piece of radius b << a has been removed. What is the direction and magnitude of the field at the midpoint of the aperture? Solve this exercise using direct integration.