5. Given the surface charge density ps = 100 µC/m², existing in the region p < 0.2 m, z = 0, find E at (a) PA (p=0, z = 0.5); (b) PB (p = 0, z = -0.5). Show that (c) the field along the z axis reduces to that of an infinite sheet charge at small values of z; (d) the z axis field reduces to that of a point charge at large values of z.
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- QUESTION 8 An excess positive charge Q is uniformly distributed throughout the volume of an insulating solid sphere of radius R = 4.0cm. The magnitude of the E-field at point P, 8.0cm from the center of the sphere is given to be 4.5×107N/C. What is the magnitude (in units of 10° N/C) of the E-field at a point 2.0cm from the center of the sphere? (Example: If your answer is 2.3x10'N/C, enter your answer as 23 in the answer box)A disk of radius ?=7.52 cm is centered at the origin and lies in the ?-? plane. The disk has a surface charge density σ=3.11×10^−6 C/m^2. Evaluate the electric field E(x) produced by this disk along the x-axis at point P=(1.19 cm,0.00 cm). The Coulomb force constant ?=1/(4??0)=8.99×10^9 N·m^2/C^2.A thick, conducting, spherical shell with inner radius 0.5 m and outer radius 1.5 m has a net charge 5 C. Also, there is a 3 C point charge at the center as shown. Calculate the surface charge density on the outer surface of the thick conducting shell. Answer in C/m² (Coulomb per square meter). 5 С 3 C 0.5 m 1.5 m
- There are two long straight ( infinite) parallel lines of charge with charge densities X₁ m 6.22 and 2 = -10.7, respectively. Determine the magnitude of the electric field halfway between the lines, which are separated by a distance 80.5cm(in) M 10 31 -Please AsapNear the surface of the Earth, a particle with mass m and charge q hovers above an infinite plane with charge density σ. The force gravity on the particle is exactly cancelled out by the upward repulsion from the plane. (ε and g have their usual meanings.) The surface charge density σ is: a) εq/mg b) 2εq/mg c)εmg/q d)2εmg/q
- Hello, Can I please have help regarding this problem ? Thanks. Suppose that the clock on our lecture room has a minute-hand length of 10 cm.(Use a coordinate system with the origin at center of clock and +x axis along the3PM direction and the +y direction along the 12PM direction). From the 12 to 8mark, for the tip of the minute hand:a) Sketch a vector diagram labeling ri, rf, Δr, Vi, Vf, and ΔV.b) Calculate the displacement vector in unit-vector notation.c) Calculate the average velocity vector in unit-vector notation.d) Calculate the average acceleration vector in unit-vector notation.e) Calculate magnitude and direction of the average acceleration vector.f) Calculate the magnitude and direction of the total acceleration of the tip ofthe minute hand at the 6 mark.A thin plastic rod of length 2.1 m is rubbed all over with wool, and acquires a charge of 56 nC, distributed uniformly over its surface. Calculate the magnitude of the electric field due to the rod at a location 6 cm from the midpoint of the rod. Do the calculation two ways, first using the exact formula for a rod of any length, and second using the approximate formula for a long rod. (a) exact formula E = = i 227.95 N/C