Consider a very long rod, radius R and charged to a uniform linear charge density . • Calculate the electric eld everywhere outside this rod (i.e. nd ~E (~r)). • Calculate the electric potential everywhere outside, where the potential is de ned to be zero at a radius (i.e. V (R0) =0).
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Consider a very long rod, radius R and charged to a uniform linear charge density .
• Calculate the electric eld everywhere outside this rod (i.e. nd ~E (~r)).
• Calculate the electric potential everywhere outside, where the potential is de ned to be zero
at a radius (i.e. V (R0) =0).
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- What is the potential V (z) due to the ring on the z axis as a function of z? A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin (Figure 1) Express your answer in terms of Q, z, R, and en or k 1. • View Available Hint(s) V (2) = What is the magnitude of the electric field E on the z axis as a function of z, for z > 0? 1 Express your answer in terms of some or all of the quantities Q, z, R, and eg or k • View Available Hint(s) TË (2) =Consider an annulus of inner radius a and outer radius b and surface charge density +σ as shown in figure 6.The electric potential of the annulus at a point on the z-axis is given by • Find an expression for the electric field E-> of the annulus. • Sketch the direction of the electric field calculated in part a.A hollow cylindrical shell of length L and radius R has charge Q uniformly distributed along its length. You may assume that the potential is defined to be zero at a distance of 1 meter from the center of the system and that the length Lis much longer than the radius R. (Figure 1) Figure 1 of 1
- Can you help me calculate the surface electrical potential of each sphere before contact was made. Assume both spheres are initially very far away from each other, and let R = 0.5 m. I am trying to figure out whether the electric potential gradient inside the smaller sphere increased, decreased, or stayed the same before compared to after contact was made. Why or why not? Calculate final surface electrical potential of each sphere after contact is made. Please show your steps so I can note this in my notebook.A charge Q is distributed uniformly around the perimeter of a ring of radius R. Determine the electric potential difference between the point at the center of the ring and a point on its axis at a distance 3R from the center. (Use any variable or symbol stated above along with the following as necessary: k.) AV = V(0) - V(3R) = First, determine the electric potential at the center of the ring by summing the contributions dv due to all the small charge segments dq on the ring. Second, using the same technique, determine the electric potential at the desired point on the axis. A simple figure might help you determine the distance from the point to the charge elements dq on the ring. Knowing the electric potential at the two points, you can determine the potential difference between them.Problem 1 An isolated conducting sphere of radius r1 = 0.20 m is at a potential of -2000V, with charge Qo. The charged sphere is then surrounded by an uncharged conducting sphere of inner radius r2= 0.40 m, and outer radius r3 = 0.50m, creating a spherical capacitor. (a) Draw a clear physics diagram of the problem. (b) Determine the charge Qo on the sphere while its isolated. (c) A wire is connected from the outer sphere to ground, and then removed. Determine the magnitude of the electric field in the following regions: RUsing integration, calculate the electric potential at any point along the z-axis. Show all relevant physics and integration details. Hint: Choose an appropriate charge element dQ on the cylinder and find the dV due to that on the z-axis. Then integrate this potential from -L/2 to L/2 along z.When a potential difference of 133 V is applied to the plates of a parallel-plate capacitor, the plates carry a surface charge density of 23 nC/cm2. What is the spacing between the plates in SI unit? Note: · Unit in is not required. • Answer will be in two decimal places in exponential form. Example: (2.33e-4).Consider the point charges in the figure below. Suppose that q4 = +10 µC, qB = -18 µC, qc = +16 µC, and qp = -13 μC. x = -2 cm x = +5 cm y = -2 cm ID y = -3 cm 1) Calculate the electric potential at the origin O due to the charges. (Express your answer to two significant figures.) MV SubmitA circular disk with radius R has a constant surface charge density, o. a) Determine the electric potential, V(z), a distance z directly above the center of the disk. 5) From this potential, determine the magnitude of the electric field, E(z)|, a distance z directly above the center of the disk. O Verify that your answer in part b) gives the correct result in the two extreme cases 1) very close to the charged disk (z > R). R5) The electric potential of a solid insulating sphere of radius R with electric charge Q is described by the equations; V (r) : KQ for r> R, V(R) KQ for r= R, r and, V (r) = KQ for rA disk of radius R = 4.0 cm is sprayed with a charged paint so that the radial charge density (the charge per area in a ring of radius r) varies continually with radial distance r -(5.0 C/m²)r from the center in the following manner: σ = R Find the potential (in GV), with respect to zero potential at infinity, at a point 3 cm above the center. + × GV Additional Materials Reading Submit AnswerSEE MORE QUESTIONSRecommended textbooks for youCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. 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