The electric field in a certain region of Earth's atmosphere is directed vertically down. At an altitude of 426 m the field has magnitude 47.0 N/C; at an altitude of 283 m, the magnitude is 114 N/C. Find the net amount of charge contained in a cube 143 m on edge, with horizontal faces at altitudes of 283 m and 426 m.

Q: An electric field with a magnitude of 6.0 x 104 N/C is directed parallel to the positive y axis. A…

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Q: A pyramid has a square base with an area of 8.50 m2 and a height of 3.5 m. Its walls are four…

A: area of the square base of the pyramid is A = 8.50 m2. height of the pyramid is h = 3.5 m The…

Q: The electric field at point P is 5.9 x 1020 N/C @ 241o. What is the angle of the force experienced…

A: Given data The electric field is E=5.9×1020 N/C The angle of the electric field is θ=241o The charge…

Q: A long pipe of outer radius R₁ = 3.10 cm and inner radius R₂ = 2.64 cm carries a uniform charge…

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Q: An infinitely long cylinder of radius R =7 çm carries a uniform charge density p=1 C/m. Calculate…

A: Given data The radius of the cylinder is given as R = 7 cm. The uniform charge density is given as…

Q: An electron, starting from rest, is accelerated by a uniform electric field of 9.00 ×× 104 N/C that…

A: In this problem, we are given the following values:Electric field strength (E) = 9.00 x 10^4…

Q: A proton and an electron are moving due east in a constant electric field that also points due east.…

A: Magnitude of electric field, E= 7.0 x 104 N/C

Q: (a) Figure (a) shows a nonconducting rod of length L = 5.40 cm and uniform linear charge density λ =…

A: Concept: To determine the potential at point P for the figure (a) we will use the formula,…

Q: Two charges 2 µC and -2 µC are placed on yaxis at y=-4 m and y3D4 m. Determiìne the magnitude and…

A: According to the problem equal and opposite charges are placed at positive and negative y axes and…

Q: sphere of radius 20 cm has 70µC uniformly distributed throughout the sphere. How much charge is…

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Q: A charge of q = 2.10 ✕ 10−9 C is spread evenly on a thin metal disk of radius 0.120 m. HINT…

A: Given: The charge on the disk is 2.1x10-9 C. The radius of the disk is 0.12 m.

Q: Two spherical shells have a common center. A -3.00 x 10-6 C charge is spread uniformly over the…

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Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 9?. A…

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Q: Four thin spherical shells with radii R₁ = 3.00 cm, R₂ = 5.00 cm, R3 = 7.00 cm, and R4 = 9.00 cm are…

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Q: A charge sphere of mass 17.7 mg is held at an angle of 8.07° from the vertical as shown below by an…

A: Step 1: Step 2: Step 3: Step 4:

Q: A solid conducting sphere, which has a charge Q1 =70Q and radius ra = 1.8R is placed inside a very…

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Q: A finite line of charge with linear charge density A = 3.65 x 10 C/m and length L = 0.940 m is…

A: Concept: To Determine the Magnitude and direction of the Electric field at point P we will calculate…

Q: A thick insulating spherical shell of inner radius a=2.1R and outer radius b=7.8R has a uniform…

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Q: Five charges are placed in a closed box. Each charge (except the first) has a magnitude which is…

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Q: Find the electric field at P in the figure shown below. (Take r= 1.6 m and 0 = 44°. Measure the…

A: The electric field produced due to a point charge a distance r away is given as E=kqr2k is a…

Q: Three charged particles are at the corners of an equilateral triangle as shown in the figure below.…

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Q: Given that D = 10 x 3 3 a x(μC/m2), determine the total charge (in microcoulombs) enclosed in a cube…

A: The electric flux density is given as, D = 10x33x^ μC/m2 The edge of the cube is given as, a = 2 m…

Q: A non-conducting sphere of radius R= 17.3cm carries a charge Q= -18.1mC distributed uniformly…

A: Radius of non conducting sphere R = 17.3 cm  Find distance at which electric field reach a value…

Q: Charge of a uniform density (7 pC/m2) is distributed over the entire xy plane. A charge of uniform…

A: The electric field due to an infinite sheet of plane charge having a charge density σ is given…

Q: Positive charges are enclosed by a Gaussian surface in the shape of a cube of length a=3.2m. The…

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Q: A  rod  26 cm  long  is  uniformly  charged  and has  a  total charge of  - 20 uC. Determine the…

A: Given,

Q: A 20.0 cm by 31.0 cm sheet of paper has a uniform surface charge density of 5.50*10^{-8} C/m^2 with…

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Q: A uniformly charged conducting sphere of 1.5 m diameter has a surface charge density of 6.7 µC/m2.…

A: Given data:  Diameter (d) = 1.5 m Surface charge density (σ) = 6.7 μC/m2 Required: The net charge on…

Q: Charge Q=3 nC is uniformly distributed around a conducting ring of radius 8 cm, as in the figure.…

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Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 7?. A…

A: Solution: Given that charge per unit area q1 = 7 z = 4.95 cm charge per unit arrea q2 = -8

Q: An electron is moving east with a speed 6.00 x 105 m/s in a uniform electric field. Magnitude of the…

A: Answer  Vf=8.43592527*105 ms-1

Q: A small Styrofoam ball weighing 0.0500 N is supported by a thread in horizontal electric field of…

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Q: An electric field given by E -5.7-1-4.3(y² + 4.2) pierces a Gaussian cube of edge length 3.7 m and…

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Q: bowling ball of regulation diameter (22.0 cm) hasn’t yet been drilled for finger holes and is…

A: The charge is spread uniformly through out the volume.

Q: ided shows a section of a very long rod of radius a = 1.11 mm and linear charge density 4.49 nC/m.…

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Q: In free space, the magnitude of the electric field outside an insulating sphere at a distance 14.50…

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Q: A non-uniform electric field in a region of space is given by E = (-4.50 x 103 N/C m) xi+ ( 2.30 x…

A: Given data: The length of the side of the cube is L=2.25 m The non-uniform electric field given is…

Q: It is found experimentally that the electric field in a certain region of Earth's atmosphere is…

A: This question is based on Gauss  law.

Q: An infinitely long line of charge has a uniform charge distribution of…

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Q: Particle 1 has mass 6.09 kg and charge 8.05 C. Particle 2 has mass 2.26 kg and charge -4.19 C. Find…

A: The following figure shows the electric field directions at point P:

Q: A thundercloud produces a vertical electric field at a magnitude of 2.8 x10^4 N/C at ground level.…

A: The electric flux is given by the expression φ=EAcosθwhere E is the electric fieldA is the cross…

Q: A rod of length 4a carries a uniform linear charge density + is placed along the x-axis, as shown in…

A: In the given question, Length of the rod (L) = 4a Uniform charge density  = +λ The length of the rod…

Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 7?. A…

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.