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- A solid nonconducting cylinder of radius R = 5.00 cm and length L = 15.0 cm has a uniform positive charge distribution of volume charge density p= 20.0 pC/m3 . (a) What is the electric potential at pint P? (b) What are the magnitude and direction of the electric field at point P? (where a = 10 cm, and P is perpendicular to the center of the cylindeA conductive spherical shell with inner radius a and outer radius b has a point charge Q in your center. The shell's total charge is −3Q, and it is isolated from its surroundings. (a) What are the surface charge densities on the inner and (c) outer surfaces of the shell conductive? (b) Determine the electrical potential in all space.A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius rb1 and outer radius rb2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for rb1 < r < rb2 is
- A nonconducting spherical shell of radius R₁ has a uniform charge of Q₁ where Q₁ > 0. A large nonconducting disk of radius R₂ with a uniform charge of Q₂ with Q20 is located to the left of the shell. If B is a point just outside the surface of the disk at a distance d from the center A of the shell, what is the potential difference VB - VA?A sphere of radius R has uniform volume charge density p and uniform surface charge density o. Ifelectric potential outside the sphere is constant then value of pR/o is (a) –3 (b) 3 (c) –1 (d) 1Problem 8: A rod of length L = 0.35 m is placed along the x-axis with its center at the origin. The rod has a non-uniform linear charge density of a = k|x| C/m, where k = 1.75E-12 C/m² is a constant factor. У-аxis Yob X-ахis dq What is the value of the potential at the point (0, yob) in volts if yob = 2.85 m? Numeric : A numeric value is expected and not an expression. V(0,yob) =
- L R Z σ = az The side surface of a thin cylindrical shell of length L and radius R is nonuniformly charged with the surface charge density given by o = az, where a is a positive constant. What is the potential at the origin (r = 0).3/20 Axis R 2R 3R 4R Consider an infinitely long nonconducting cylindirical shell of inner radius R and outer radius 2R as shown in the figure. The volume charge density of the cylinder Shell is p = 9r, where r is the distance from the axis of the cylinder. Find the potential difference (AVAB = V - V.) between points A and B at distances 3R and 4R from the axis respectively. (Note: R=40cm, 1 = 3 and ɛ, = 9. 10-12 ()) a) -2,24x10 V b) 2,24x10°V c) -4,3x101°v 4,3x101°V e) -1,57x1012y d) Seçtiğiniz cevabın işaretlendiğini görene kadar bekleyiniz. Soruyu boş bırakmak isterseniz işaretlediğ MacBook Air DII F1 F2 F3 F4 F5 F6 F7 F8 @ %23 2$ 1 2 4 6. 7 8. Q W E R Y U S D F G H. 品:Ra1 +9 -9 Rea Consider two concentric spherical conductors, separated by an isolating material with (absolute) permittivity e. The two conductors have radius R1 and R2, they are put on a potential V and V2, which leads to a charge +q and –q sitting on them, respectively. By the problem's spherical symmetry, we see that the charge on each conductor is distributed uniformly, and that, in spherical coordinates, the electric field between the two conductors is of the form E(r) = -E(r) er. Determine the capacity C using the following steps: 1. Use Gauss's Law in integral form, with N a ball of radius r (R2 < r < R1), to find an expression for E(r) in terms of q. 2. Calculate AV = Vị – V2 using the formula - E•dr Δν and with C the black line segment indicated on the drawing (parallel with e,). 3. The capacity now follows from C = q/AV.
- Potential of Concentric Spherical Insulator and Conductor 12 3 4 5 6 A solid insulating sphere of radius a = 3.2 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly charged with a charge density p = -332 μC/m³. Concentric with the sphere is an uncharged spherical conducting shell of inner radius b = 13.8 cm, and outer radius c = 15.8 cm. N/C Submit You currently have 5 submissions for this question. Only 12 submission are allowed. You can make 7 more submissions for this question. 1) What is Ex(P), the x-component of the electric field at point P, located a distance d = 32 cm from the origin along the x-axis as shown? 2) What is V(b), the electric potential at the inner surface of the conducting shell? Define the potential to be zero at infinity. V Submit P(4,0) V Submit V X 3) What is V(a), the electric potential at the outer surface of the insulating sphere? Define the potential to be zero at infinity. Submit + 4) What is V(C) - V(a), the potentital…A capacitor consists of 3 spherical shells with radiuses r, 2r and 4r. The first and third shells are connected to earth but the second one has charge 5Q, calculate the capacity and the charge on the third ( outer) shell.A dielectric cylinder with absolute permittivity e, has radius b and height L. The bottom plate of the cylinder is positioned at x-y plane, concentric with the z-axis. The polarization vector in the dielectric cylinder is given P = 6Por cos(o), where Po is a constant. Find (a) Bound charge densities (b) The total charge of the cylinder. (C) Write the integral expression of the potential at P (0,0,0) explicitly. Define the integral limits and all the components in the integrant expression. Do not take the integral.