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A negative charge −Q is placed inside the cavity of a hollow metal solid. The outside of the solid is grounded by connecting a
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- An electric field of intensity 3.40 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz-plane.____________N · m2/C(b) The plane is parallel to the xy-plane._____________N · m2/C(c) The plane contains the y-axis, and its normal makes an angle of 35.0° with the x-axis.______________N · m2/Carrow_forwardA neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 4 ✕ 10−8 C at location <−0.6, 0, 0> m. At location <0, 0.08, 0> m, what is the electric field contributed by the polarization charges on the surface of the metal sphere? (Express your answer in vector form.)arrow_forwardA uniformly charged disk sit in the yz-plane with its center at the origin. It has radius 2.5 cm and carries a total charge of 4.0 x 10 -12 C. What is the magnitude of the electricfield on the x-axis of the disk at the disk at distance x = 0.2 cm?What is the direction of the eletric field on the axis of the disk at x = 0.2 cm? (to the center or from the center)Is the magnitude of the electric field at x= 0.2 cm larger or smaller thant the electric field at 0.2 cm from an infinite sheet of charge with the same charge per unit area as the disk?What is the percent difference between the electric field produced by the finite disk and by an infinite sheet with the same charge per unit area at x = 0.4 cm?arrow_forward
- Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6 C uniformly distributed on its surface. a. What if the sphere is a solid conductive sphere? What is the electric field at all points inside the sphere? Express your answer as function of the distance r from the center of the sphere. b. What is the electric field at all points outside the sphere? Express your answer as a function of the distance r from the center of the spherearrow_forwardAn electric field of intensity 2.70 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz-plane. (b) The plane is parallel to the xy-plane. (c) The plane contains the y-axis, and its normal makes an angle of 42.0° with the x-axis.arrow_forwardAn old model of a hydrogen atom has the charge +e of the proton uniformly distributed over a sphere of radius a0, with the electron of charge -e and mass m at its center. (a) What would then be the force on the electron if it were displaced from the center by a distance r # a0? (b) What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?arrow_forward
- A 8.20 μC charged 1.00 g cork ball is suspended vertically on a 1.100 m long light string in the presence of a uniform downward-directed electric field of magnitude E = 8.50x105 N/C. If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum. (c) Determine the acceleration of the ball due to the combined effects of the gravitational and electric fields. That is, what is the effective acceleration due to both gravity and the electric field? (What is the new "g" that you should use in the period equation?)arrow_forwardA conductive sphere with a cavity has an outer radius of 0.30 m, an inner radius of 0.25 m, and a charge distribution on its surface of +5.80 µC/m2. If a charge of -0.56 µC is placed in the middle of the cavity inside the sphere (ke = 8.99 × 109 Nm2/C2nd)a) What would be the new charge density outside the sphere?b) What is the electric field just outside the sphere?c) What is the electric flux through the spherical surface just inside the inner surface of the sphere?arrow_forwardThe square conducting sheet −2≤ x ≤2,−2≤ y ≤2,z=0 plane has a charge density12|y|mC/m2. Determine the total charge on the plate and the electric field intensity at(0,0,10)arrow_forward
- A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 7 × 10−8 C at location ⟨-0.4,0,0⟩ m. At location ⟨0,0.07,0⟩ m, what is the electric field contributed by the polarization charges on the surface of the metal sphere?arrow_forwardA uniform electric field of magnitude E = 38 N/C points along the x-axis. A circular loop of radius R = 26 cm is centered at the origin with the normal to the loop pointing θ = 45 degrees above the x-axis. Calculate the electric flux in units of N⋅m2/C that passes through the loop. When solving for this why am not getting 5.707 when I plug everything into the calculator? When plugging everything in electric flux = 38 N/C × A × Cos(45°) I am not getting the correct value for the Cos(45°). What could I possibly be doing wrong to not get the 0.707? When I do Cos(45) in my calculator I am getting 0.52532198881.arrow_forwardA 8.20 μC charged 1.00 g cork ball is suspended vertically on a 1.100 m long light string in the presence of a uniform downward-directed electric field of magnitude E = 8.50x105 N/C. If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum. (d) Determine the period of the ball's oscillation in the electric field.arrow_forward
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