A disk of radius R = 9.54 cm is centered at the origin and lies in the y-z plane. The disk has a surface charge density a=3.11 x 10 C/m². Evaluate the electric field E(x) produced by this disk along the x-axis at point P = (1.46 cm, 0,00 cm). The Coulomb force constant k = 1/(4.c) = 8.99 x 10° N-m²/C².
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- 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 cylindrical distribution of charge ρ = α /√ r where α = 2 µC/m 5/2 extends from 0 cm to 9.3 cm . Concentric with this is a dielectric shell with 5.44 of inner radius 16.6 cm and outer radius 24.9 cm . What is the electric field at 3.53 cm ?An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.
- An isolated charged conducting sphere has a radius R = 13.0 cm. At a distance of r = 24.0 cm from the center of the sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C. (a) What is its surface charge density (in µC/m²)? μC/m² (b) What is its capacitance (in pF)? pF (c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the capacitance (in pF) of the two-sphere system? pFThe electric field in an xy plane produced by a positively charged particle is 6.20(6.61 + 6.3) N/C at the point (4.1, 4.6) cm and 123 N/C at the point (3.8, 0) cm. What are the (a) x and (b) y coordinates of the particle? (c) What is the charge of the particle? (a) Number i UnitsA thin, circular disk of radius R = 45 cm is oriented in the yz-plane with its center as the origin. The disk carries a total charge Q = 6.0 μC distributed uniformly over its surface. Calculate the magnitude of the electric field due to the disk at the point x = 12 cm along the x-axis.
- Charge of uniform surface density 8.11 nC/m2 is distributed over an entire xy plane; charge of uniform surface density 3.03 nC/m² is distributed over the parallel plane defined by z = 2.18 m. Determine the magnitude of the electric field at any point having a z coordinate of (a)1.29 m and (b)3.18 m. (a) Number i Units (b) Number i UnitsConsider a thin rod 1 meter in length that carries a non-uniform charge density lamda = .005 mC/m2 x + .001 mc/m where x is the position of a point on the rod relative to an origin placed at one end. How much charge is on the rod? Answer in mC.