An electric dipole with dipole moment 4 x 10°C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 x 10* N C-1. Calculate the magnitude of the torque acting on the dipole.
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- the diagram as shown. The charges of each marble are q₁6.50 μC, 9₂ 1.17 pc, and q3 -1.79 μC. Marble q, is a distance r = 3.00 cm to the left of the marble q₂, while marble q, is a distance r3 - 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance = 1.00 cm to the left of the center marble. N/C 4 observation point 92 r₂ = 0m Another marble is placed 1 cm to the left of the middleimarble. If this new marble has a charge of 3.71 µC, calculate magnitude and direction of the force on it. 77. x magnitudeSection 21.7 Electric Dipoles +4.5 nC are 21.53 Point charges q₁ = -4.5 nC and 92 = separated by 3.1 mm, forming an electric dipole. (a) Find the electric dipole moment (magnitude and direction). (b) The charges are in a uniform electric field whose direction makes an angle of 36.9° with the line connecting the charges. What is the magni- tude of this field if the torque exerted on the dipole has magnitude 7.2 X 109 N.m?a dipole having a dipole moment of p = Qa coul/m makes an angle 60° with the direction of a uniform electric field E,(a) calculate the torque on the dipole
- A long thin rod is bent into a perfect semicircle of radius 4.30 m. The linear change density of the rod is λ = 3.10 nC/m. How much charge is on a small piece of the rod that subtends an angle Δθ = 0.170 radians? 13.3 nC 0.527 nC 2.27 nC 4.24 nCA 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 ?
- A cube is located with one corner at the origin of an x, y, z coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first octant of the coordinate system. The edges of the cube are 2.21 m long. A uniform electric field is parallel to the x, y plane and points in the direction of the +y axis. The magnitude of the field is 8970 N/C. What is the electric flux through the cubical surface? Number i UnitsA uniform charge distribution of total charge Q (Q>0) is located along the x-axis. The left end of the charge distribution is located at x=-(144/13)m and its right end is located at x=(25/13)m. Our goal is to calculate the electric field at point P which is located at (x,y)=(0,d). Use letters k for the Coulomb constant, Q for the total charge, d for the y-coordinate of point P, and x and y, for the cartesian coordinates in your responses. (a) Determine the expression for dq. (b) Determine the expression for r2, the magnitude of the vector that is directed from the element of charge dq to the location in which the field is to be determined. (c) Determine the expression for r̂ the unit vector that is directed from the element of charge dq to the location in which the field is to be determined (d) Write the expression for d due to the element of charge dq. (e) Let d=(60/13)m. Integrate the expression to determine the electric field at P. Perform this integration by hand. Avoid using…An electric dipole consists of charges +2e and -2e separated by 1.1 nm. It is in an electric field of strength 3.1 × 106 N/C. Calculate the magnitude of the torque on the dipole when the dipole moment is (a) parallel to, (b) perpendicular to, and (c) antiparallel to the electric field. (a) Number i Units (b) Number i Units (c) Number i Units
- An imaginary cubical surface of side LL has its edges parallel to the xx-, yy- and zz-axes, one corner at the point xx = 0, yy = 0, zz = 0 and the opposite corner at the point x=Lx=L, y=Ly=L, z=Lz=L. The cube is in a region of uniform electric field E⃗ =E1i^+E2j^E→=E1i^+E2j^, where E1E1 and E2E2 are positive constants. Calculate the electric flux through the cube face in the plane xx = 0 and the cube face in the plane x=Lx=L. For each face the normal points out of the cube. Express your answers in terms of some or all of the variables E1E1E_1, E2E2E_2, and LLL separated by a comma.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? pFAn electric dipole that is completely free to move (both rotation and translation) is placed in a region of uniform electric field. The dipole moment makes an angle of 30° to the direction of the electric field. Which of the following statements is correct? The total force on the dipole is zero, but the total torque is non-zero. O Both the total torque and total force on the dipole are zero. O The total torque on the dipole is zero. Both the total force and the total torque on the dipole are non-zero. The total torque on the dipole is zero, but the total force on the dipole is non-zero.