Four electrons are fixed in place at the corners of a square that is 10.0 nm on each side. An alpha particle is to be located at its center. (The alpha particle is a doubly-ionized Helium atom and carries charge -2e, e = 1.60 x 10-19 C.) (a)  What is the electric potential at the center of the square due to the electrons? (b)  What is the electric potential at the midpoint of one of the sides due to the four electrons? (c)  What is the electric potential energy of the alpha particle when placed at the center of the square with the electrons fixed at the corners?

Q: A nonconducting sphere has radius R = 2.11 cm and uniformly distributed charge q = +4.55 fC. Take…

A: The potential at any point inside the sphere is given as, V=Q8πεoR3-r2R2 Here, Q is the charge on…

Q: There is a +8.7 µC point charge at the origin and a -9.7 µC point charge at coordinates (5.0 cm, 0,…

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Q: What is the magnitude of the electric field at the point (4.40 î - 9.10 ĵ + 4.40 k̂) m if the…

A: Given: Point for electric field,P=4.40 i^,-9.10 j^,4.40 k^ Electric potential, V=8.80 xyz2…

Q: a b i p a +2Q Three colinear point charges are positioned as shown. If Q = 24 nC, a = 4 cm, and b =…

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Q: The figure shows three circular, nonconducting arcs of radius R = 8.04 cm. The charges on the arcs…

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Q: A spherical surface of radius R=10 cm carries a charge of 5 ×10-9 C. The potential at the center of…

A: To determine: The potential at the center of the sphere   Given: Radius of sphere, R=10 cm=0.1 m…

Q: A research Van de Graaff generator has a 2.20 m diameter metal sphere with a charge of 48.0 µC on…

A: Diameter Charge

Q: A rod of length L = 0.15 m is placed along the x-axis with its center at the origin. The rod has a…

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Q: You cause a particle to move from point A, where the electric potential is 17.5 V, to point B, where…

A: GivenElectric potential of point A is Electric potential of point B is Charge of an electron is…

Q: Two charges of q, = 1.6 µC and q, = -2.6 µC are d = 0.30 m apart at two vertices of an equilateral…

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Q: A circular ring of charge is cut so that 3/4 of the ring remains and is arranged in the yz-plane as…

A: Potential of a small element is, dV=14πε0dqR2+x0b2=14πε0λRdθR2+x0b2 Linear charge density is,…

Q: A spherical drop of water carrying a charge of 23 pC has a potential of 420 V at its surface (with V…

A: Given:-  The charge on the  spherical drop of water is q = 23 pC The potential at its surface is V =…

Q: Two point charges are on the y axis. A 5.40-µC charge is located at y = 1.25 cm, and a -2.44-µC…

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Q: An isolated solid metallic sphere in a state of electrostatic equi- librium has a total charge of…

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Q: A rod of length L = 0.55m is placed along the x-axis with its center at the origin. The rod has a…

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Q: A particular dipole consists of two charges, one of charge 7.5 μC and one of -7.5 μC, spaced a…

A: Given:

Q: solid conductor sphere (radius = 5.0cm) has a charge of 0.25 nC uniformly distributed on its…

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Q: The thin plastic rod shown in the figure has length L = 11.0 cm and a nonuniform linear charge…

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Q: Identical 11.8 mC charges are fixed to adjacent corners of a square. What charge (magnitude and…

A: Assume that the schematic arrangement of the system is as shown below:

Q: For a given wire shaped like half a circle with radius R with a center at the origin, the non-…

A: Step 1:The linear charge density of the semicircular arc: λ=λ0​sinθThe radius of the arc:…

Q: A uniform electric field of magnitude 336 V/m is directed in the positive x-direction. Suppose a 19…

A: The magnitude of the electric field is, E=336 V/m. The magnitude of the charge is, q=19 μC=19×10-6…

Q: uring a particular thunderstorm, the electric potential between a cloud and the ground Vcloud -…

A: Given  Potential difference  Vcloud  - V ground       = 2.7 × 108 V

Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

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Q: The electric potential Vin the space between two flat parallel plates 1 and 2 is given (in volts) by…

A: (a)Given that potential, V=1200X2 VoltsThen electric field,…

Q: A total electric charge of 10 nC is distributed uniformly over the surface of a metal sphere with a…

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Q: A total charge of -94.0 nC is uniformly distributed throughout a non-conducting sphere with a radius…

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Q: A 1 = 6.00 µC point charge is at the origin, and another point charge 42 =-3.00 µC is on the x-axis…

A: Potential at P = 8100 V

Q: :  Consider a point charge of value 78 × 10-5 C. Part (a)  At what distance from the 78 × 10-5 C…

A: We know that the formula of the potential  is given as  V = kqr         ---------------- eq 1  where…

Q: An electron is at the origin. (a) Calculate the electric potential VA at point A, X =0.250cm. (b)…

A: The electric potential is calculated by using the formula V=kqr , where k=9×109 Nm2 /C2 is the…

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.