Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the direction of the electric field at any point on the z axis? What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k=1/4πϵ0.
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Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.
What is the direction of the electric field at any point on the z axis?
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- E ↑ Απεργια This problem checks your understanding of the term in the equation for the electric field due to a point charge, Consider a charged particle at a point S whose coordinates are (4 m, 2 m, 6 m). We would like to find the electric field vector at a point P whose coordinates are (7 m, 8 m, 1 m). The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters? (Report your answer to one decimal place.)Conducting Sphere 6 v.A If a total charge of +9.6 C accumulates on the inner surface of the hollow sphere (i.e. the cavity wall), what must be the charge Q of the enclosed point charge? Enter the numerical value in SI units. Type your answer... 7 metal What is the direction of the electric field at point P? A point charge Q is located in an enclosed cavity within a hollow conducting metal sphere. The region in the cavity between the point charge and the sphere is empty space. Point P is completely within the metal. O The electric field at point P is zero. O The direction depends on the value of the charge on the outer surface of the sphere.y The figure above shows a contour consisting of two semicircular parts, of radii a and b respectively (b> a), that are connected by two short straight-line segments. This contour has a uniform charge distribution p₁ on it. Determine the electric field created by this charge distribution at the origin of the coordinate system in terms of a, b, and P₁-
- A cube has sides of length L = 0.370 m. It is placed with one corner at the origin as shown in the figure (Figure 1). The electric field is not uniform but is given by E =(-5.69 N/(C. m) )æi+(3.20 N/(C - m) )zk. Part A Find the electric flux through each of the six cube faces S1, S2, S3, S4, S5. and S6. Enter your answers numerically separated by commas. Eν ΑΣφ ? d1, Þ2, Þ3 , 4 , Þ5 , Þ6 = (N/C) - m² Submit Previous Answers Request Answer Part B Find the total electric charge inside the cube. ΑΣφ ? q = Figure 1 of 1 Submit Request Answer S2 (top) So (back) Provide Feedback S3 (right side) (left side) L L L. S, (bottom) S, (front)please answer all parts and explanation.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
- We have calculated the electric field due to a uniformly charged disk of radius R, along its axis. Note that the final result does not contain the integration variable r: R. Q/A 2€0 Edisk (x² +R*)* Edisk perpendicular to the center of the disk Uniform Q over area A (A=RR²) Show that at a perpendicular distance R from the center of a uniformly negatively charged disk of CA and is directed toward the disk: Q/A radius R, the electric field is 0.3- 2€0 4.4.1bA long coaxial cable carries a volume charge density described by p = ks4 (where k is a constant) on the inner insulating cylinder (radius a), and a uniform surface charge density ? (sigma) on the outer conducting cylindrical shell (radius b). Assume that the coaxial cable is electrically neutral (i.e. Qtotal = 0) and you may ignore the edge effects of the cylindrical shells.a. Determine the electric field everywhere in terms of the total charge per unit length of the inner cylinder ?inner (lambdainner).Consider the following situation. A positive charge q is located a distance R from a charged wire bent into a circular arc as drawn. The arc has radius R, a net positive charge Q, and an angular extent of 30° (T/6 radians) centered on the same axis as q. 15° a. Calculate the electric field (vector) the arc of wire produces at q's location. Give the vector in component form. The vector only has one component. You should write down in words an argument using the problem's symmetry for this. b. Find the net force (vector) on q by the arc of wire. Give the vector in component form. c. Compare this force to the force produced by a positive point charge Q located a distance R away from q. Which force is greater, (b) or (c), and by what fraction? Show this algebraically.
- Good morning could you help me to solve the following problem?Thanks in advanceA ring of radius a carries a uniformly distributed positive total charge. uniformly distributed. Calculate the electric field due to the ring at a point P which is at a distance x from its center, along the central axis perpendicular to the plane of the ring. Use fig. a The fig.b shows the electric field contributionsof two segments on opposite sides of the ring.In the example of a uniform charged sphere p0 = Q/((4/3)πR3). Rewrite the electric field in terms of the total charge Q on the sphere. Do this for the range r > R. Do this for the range r < R.An insulating sphere of radius R = 3 cm has positive charge uniformly distributed throughout its entire volume. The electric field at the surface of the sphere has a magnitude of E = 5x107 V/m (a) [3 points] Calculate the volumetric charge density p of the sphere (in C/m3) and Calculate the magnitude of the electric field at a point located atr= 1cm, inside the insulator.