A uniformly-charged wire of total charge Q, and total length L=6.4 m is placed as shown in the figure, where the left end is at a distance a-0.1 m from the origin. Another point charge Q is placed at the right end of the wire. If Ej and E2 are the magnitudes of the electric field at the origin by the wire and by the charge, respectively, then find the ratio E1/E2. K-axis
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- The electric field 1/6 of the way from a charge q1 to a charge q2 is zero. How many times larger is q2 than q1 based on the previous statement?Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be 194 N/C directed downward. (Assume the radius of the Earth is 6.37 x 106 m.) (a) Determine the surface charge density (in C/m²) on the ground. C/m² (b) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth. C (c) Determine the Earth's electric potential (in V) due to the charge found in (b). V (d) Determine the difference in potential (in V) between the head and the feet of a person 1.50 m tall. (Ignore any charges in the atmosphere.) V
- Electric charge is distributed over the disk a2 + y < 20 so that the charge density at (x,y) is o(x, y) = 5 + x² + y² coulombs per square meter. Find the total charge on the disk.A circular metal plate of radius 17.2 cm carries a total charge of 1.01 μC and the charge is distributed uniformly over the surface of the plate. Determine the surface charge density on the plate and report your answer in µC/m².Two charges — q1 = 2.3 × 10-6C, q2 = 5.6 × 10-6C — are separated by a distance of d = 4.75 m. At what distance, r in meters, from the first charge is the electric field zero?
- A line of charge runs parallel to a sheet of charge, separated by a distance d = 28 cm. If the charge density of the line of charge is λ = 15 x 10-6 c/m and the charge density of the sheet of charge is o = 12 x 10-6 c/m², find the magnitude of the electric field at the midpoint between them. x 106 N/C E =A 28-cm long charged wire with a total charge of -84 nC is bent to form three quarters of a circle and placed symmetrically with respect to the axis, as shown in the figure below. y -84 nC € 45 0 45 28 cm Assuming that the charge is uniformly distributed along the length of the wire, what is the magnitude of the electric field in kv/m at the center of this circle? Give your answer correct to two decimal places.A thick insulating spherical shell of inner radius a=1.2R and outer radius b=9.8R has a uniform charge density p. PR, What is the magnitude of the electric field at r=3.5 R ? Express your answer using one decimal place in units of €0
- A long silver rod of radius 3.0 cm has a charge of 5 microcoulombs per meter on its surface. Find the magnitude of the electric field at a point 5.0 cm from the center of the rod (an outside point). Round to 2 significant figures. what is the electric field at a point 2 cm from the central axis of the rodA negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod. After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.What is the magnitude of the electric field produced by a charge of magnitude 4.70 μCμC at a distance of (a) 1.00 mm and (b) 3.00 mm?