Charge is uniformly distributed throughout a spherical insulating volume of radius R = 4.00 cm. The charge per unit volume is 8.16 μC/m³. Find the magnitude of the electric field at r = 10.0 cm. Enter a positive number if the field points radially out and negative if the field points radially in. i N/C
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![Charge is uniformly distributed throughout a spherical insulating volume of radius R = 4.00 cm. The charge per unit volume is
8.16 μC/m³. Find the magnitude of the electric field at r = 10.0 cm. Enter a positive number if the field points radially out and
negative if the field points radially in.
i
N/C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6b23b66-a765-4400-9887-627f65b5cdba%2F1615a3fa-a8cc-43a7-96d4-44c315a024ee%2Fr37ifqa_processed.png&w=3840&q=75)
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- 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.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 139 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/m? (b) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth. (e) 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.) Va through c please A charge of -90.4 uC is placed on spherical conductor of radius 10.0 cm. Part (a) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 1.32 cm from the center of the sphere? Give your answer in N/C. Part (b) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 7.08 cm from the center of the sphere? Give your answer in N/C. Part (c) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 17.1 cm from the center of the sphere. Give your answer in N/C.
- Positive charge is distributed in a sphere of radius R that is centered at the origin. Inside the sphere, the electric field is Ē(r) = kr-1/4 f, where k is a positive constant. There is no charge outside the sphere. a) How is the charge distributed inside the sphere? In particular, find an equation for the charge density, p. b) Determine the electric field, E(r), for r > R (outside the sphere). c) What is the potential difference between the center of the sphere (r = 0) and the surface of the sphere (r = R)? d) What is the energy stored in this electric charge configuration?The magnitude of electric field at point (A) at a distance r =3 m from the center of a charged conductor of radius R= 0.2 m is E=2000 N/C outwards. What is the net charge (in µC) on the conductor? r= 3m A R=0.2mA thin, square, conducting plate 54.0 cm on a side lies in the xy plane. A total charge of 3.20 x 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m² (b) Find the electric field just above the plate. magnitude N/C direction upward ◊ (c) Find the electric field just below the plate. magnitude N/C direction downward ↑
- A solid conducting sphere of radius 2.00 cm has a charge of 6.68 μC. calculate the magnitude and direction of the electric field at the following radii from the center of the sphere. a) r = 1.00 cm. b) r = 3.00 cm.A thick insulating cylindircal shell of inner radius a=1.9R and outer radius b=7.6R has a uniform charge density p. What is the magnitude of the electric field at r=9.3 R ? Express your answer using one decimal place in units of PR €0Two thin parallel conducting plates are placed 4.3 µm apart. Each plate is 4.3 cm on a side; one plate carries a net charge of 8.7 µC, and the other plate carries a net charge of −8.7 µC. What is the charge density (in C/m2) on the inside surface of each plate? (Enter the magnitude.)
- A thin, square, conducting plate 47.0 cm on a side lies in the xy plane. A total charge of 3.50 10-8 C is placed on the plate. You may assume the charge density is uniform. (a) Find the charge density on each face of the plate. C/m2(b) Find the electric field just above the plate. magnitude N/C direction (c) Find the electric field just below the plate. magnitude N/C directionTwo homogeneous rods with a length of 5 cm each are positioned as in Fig. a. Determine the magnitude and direction of the electric field vector at point P on the coordinates (5.0) cm, if the unit charge density is λ = 2.10-9 C / m! b. If an electron is placed at point P, what is the electric force that is experienced by the electron?The volume charge density ρ for a spherical charge distribution of radius R = 6.00 mm is not uniform. The figure shows ρ as a function of the distance r from the center of the distribution. a) Calculate the electric field at r = 5.00 mm .Express your answer with the appropriate units. b) Calculate the electric field at r = 7.00 mm .Express your answer with the appropriate units
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