2. Given the potential field V = 50(x² - y²)V at point P (-4, 1, 5) that is stipulated to lie on a conductor-free space boundary. Find potential V, electric field Ē,electric field intensity D and ps at point P. Write the equation of the conductor surface.
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- answer for (d) and (e) pleaseThe vertical deflecting plates of a typical classroom oscilloscope are a pair of parallel square metal plates carrying equal but opposite charges. The potential difference between the plates is 25.0 V. Typical dimensions are about 3.3 cm on a side, with a separation of about 5.0 mm. The plates are close enough that we can ignore fringing at the ends. Part A: Under these conditions, how much charge is on each plate?(Express your answer in coulombs.) Part B: How strong is the electric field between the plates?(Express your answer in volts per meter.) Part C:If an electron is ejected at rest from the negative plates, how fast is it moving when it reaches the positive plate?(Express your answer in meters per second.)Consider a solid uniformly charged dielectric sphere where the charge density is give as ρ. The sphere has a radius R. Say that a hollow of charge has been created within the spherethat is offset from the center of the large sphere such that the small hollow has its center on the x axis where x = R/2. Using a standard frame where the large frame has its center at the origin, find the Electric field vector at the following points. a.The origin b.Anywhere inside the hollow (challenging) c.x = 0, y = R d.x = -R, y =0
- The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. 1a. Given the oil drop to be 0.99 μm in radius and have a density of 910 kg/m3: Find the weight of the drop. 1b.If the drop has a single excess electron, find the electric field strength needed to balance its weight. This is not and will not be gradedConsider an infinitely long wire of charge carrying a positive charge density of A. The electric field due to λ this line of charge is given by E= 2kef= -, where is a unit vector directed radially outward Σπερμ from the infinitely long wire of charge. Hint #3 a. Letting the voltage be zero at some reference distance (V(ro) = 0), calculate the voltage due to this infinite line of charge at some distance r from the line of charge. Give your answer in terms of given quantities (A,ro,r) and physical constants (ke or Eo). Use underscore ("_") for subscripts and spell out Greek letters. Hint for V(r) calculation 3 V(r) = b. There is a reason we are not setting V(r → ∞o) = 0 as we normally do (in fact, in general, whenever you have an infinite charge distribution, this "universal reference" does not work; you need a localized charge distribution for this reference to work). Which of the following best describes what happens to potential as roo? (That is, what is V(ro), with our current…Q.9