Using energy methods, calculate the speed of the sphere when it is 0.100 m above the sheet. Fynress youur answer to three significant figures and include the appropriate units.
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- An (ideal) electric dipole of magnitude p = 1 × 10−6 C·m is placed ata distance a = 0.05 m away from the center of an uncharged, isolated spherical conductor of radiusR = 0.02 m. Suppose the angle formed by the dipole vector and the radial vector (the vector pointingfrom the sphere’s center to the dipole’s position) is θ = 20o. Find the (electrostatic) interaction energybetween the dipole and the charge induced on the spherical conductorCompute for the work done, in millijoules, in moving a 8-nC charge from A(0, 0, 1) m to B(0, 0, 7) m against the electric field due to a ring charge of radius 9 m on the plane z = 0 centered at the origin. The ring has a total charge of 8 mC.A simple and common technique for accelerating electrons is shown in the figure, which depicts a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to pass through.Randomized VariablesE = 2.7 × 104 N/C Calculate the horizontal component of the electron's acceleration if the field strength is 2.7 × 104 N/C. Express your answer in meters per second squared, and assume the electric field is pointing in the negative x-direction as shown in the figure.
- An electron is at rest just above the surfaceof a sphere with a radius of 2.7 mm and a uniformly distributedpositive charge of 1.8 * 10-15 C. Like a rocket blasting off fromthe Earth, the electron is given an initial speed ve radially outwardfrom the sphere. If the electron coasts to infinity, where its kineticenergy drops to zero, what is the escape speed, ve?Compute for the work done, in millijoules, in moving a 4-nC charge from A(4, -2, -4) m to B(3, -1, 2) m against the electric field due to a disk charge of radius 2 m on the plane x = 0. The disk has a total charge of 8 mC.Silicon wafers are made to create the most groundbreaking invention of mankind - microprocessors. If two silicon wafers (assume dipoles), both with masses of 125 grams, radii of 10 cm and thickness of 7x10^-6 m are placed close to each other, separated by a distance of 3 cm, what is the electric field strength experienced by an electron placed on the surface of the negatively charged wafer? What is the final velocity of the electron upon reaching the positively charged plate? How much power is generated by the elctron in its travel?
- Two large parallel plates are placed horizontally with respect to each other and are then connected to a100-V battery. If the distance between the plates is 1 cm, the uniform electric field between the plates is104 N/C in the upward direction as shown by the vectors in the figure. If the electron is released from restat the upper plate, calculate:i. kinetic energy of the electron after traveling 1 cm to the lower plate, andii. the time required for it to travel this distance.A gold nucleus emanates an elecric field, holding all its electrons in place. How strong is the electric field by a single electron from its outermost orbital, located at 136 pm? How fast is it moving on its circular orbit, assuming it has a hypothetical plane orbit? How much kinetic energy is gained by the electron?What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.0 cm and a uniformly distributed charge of 1.6 * 10-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and have zero kinetic energy when it gets there?
- A parallel plate capacitor in a vacuum has stored 3.03 μJ of energydue to charge separation between its plates. If its capacitance is 66.7μF and the plate separation distance is 0.213 mm, find the electric fieldmagnitude in between the plates.Silicon wafers are made to create the most groundbreaking invention of mankind - microprocessors. If two silicon wafers (assume dipoles), both with masses of 125grams, radii of 10cm and thickness of 7 um are placed close to each other, separated by a distance of 3cm, what is the electric field strength experienced by an electron placed on the surface of the negatively charged wafer? What is the final velocity of the electron upon reaching the positively charged plate? How much power is generated by the electron in its travel?A ring of radius R=2.4 cm in radius contains a uniform distribution of charges, and the field The resulting electrical E is measured along the central axis of the ring (perpendicular to the plane of the ring). How far from the center of the ring is the field maximum?