A uniform line of charge with charge/length λ and length 2l lies along the x-axis extending from x= -l to x= +l. Determine the electric potential V(x) on the x-axis for x>1. Assume V=0 as x approaches infinity.

Q: What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of…

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Q: Consider a conducting sphere with charge q = 4.00 µC/m and radius a = 3.0 cm, coaxial with a…

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Q: Two point charges of magnitude 4.0 μC and -4.0 μC are situated along the x-axis at x₁ = 2.0 m and x2…

A: Given data:  Two point charges Q1 = 4.0 μC = 4.0×10-6 C at x1 = 2.0 m Q2 = -4.0 μC = -4.0×10-6 C at…

Q: A point charge of +0.80 μC is located at the origin, and a second point charge of −4 μC is at x = 40…

A: Given charges are  Let x is a point from origin where the total potential is zero. Potential due…

Q: A 4.0 nC charge is uniformly distributed along the abscissa axis from x = + 4m to x = + 6m. Which of…

A: Given data *The given charge is q = 4.0 nC = 4.0 × 10-9 C *The charge is uniformly distributed along…

Q: The electric potential Vx, y, z) in a region of space is given by V(x, y, z) = Vo (2x^2 - 3y^2 - z^2…

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Q: Calculate the electric potential at a point P which is 20 cm away from an the point charge 1 = 9 x…

A: Given value--- charge q = 2 × 10-8  C  distance r = 20 cm. We have to find--- Electric Potential…

Q: A solid conducting sphere of radius 3.0 cm has a charge of 30 nC distributed uniformly over its…

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Q: Consider the electric potential $(z, y, 2) = Vo a(1/m) - ry(V/m2)+ ay:(V/m) It is given that the…

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Q: A charge of uniform density (76 nC/m) is distributed along the x axis from the origin to the point x…

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Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 8.00 nC…

A: Given data The magnitude of the charge is given as q = 8 nC. The distance between the negative two…

Q: An electron starts from rest 3.00 cm from the center of a uniformly charged insulating sphere of…

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Q: Find the electric potential at a distance r > R from the center of the sphere, assuming that the…

A: Given: The distance for electric potential is r > R. The potential at large distances from the…

Q: For an electric potential at any point in the space is given V=7x^2-5x, calculate the electric field…

A: Given information, Electric potential ,V = 7x2-5x Electric field ,E = dV/dx

Q: A plastic rod has been bent into a circle of radius R = 11.5 cm. It has a charge Q1 = +2.85 pC…

A: Electric potential = kqr . V= k (∫02πr/4Q12πrdr x 1r + ∫02πr.3/4Q22πrdr x 1r) We may solve this…

Q: A 1 = 6.00 µC point charge is at the origin, and another point charge 92 =-3.00 µC is on %3D the…

A: The given charges, q1=6.0 μCq2=-3.0 μC   In this case, the charge q1 is at origin and the charge q2…

Q: In a certain region, the electric potential due to a charge distribution is given by the equation V…

A: The electric field is the negative gradient of electric potential. It is given as,

Q: A very thin rod carrying linear charge density A lies in the ay plane making angle 1/4 with the x…

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Q: A region of space contains an electric potential given by V(x,y,z) = 4x2y – 2z + 5x3yz2 . Determine…

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Q: There is a non contuctive thin spherical shell with radius r=20 cm. It Carries a uniformly…

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Q: The electric potential in a certain region of space is given by V(x,y,z)=αx2y+βy2z, where α=364 V/m3…

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Q: Given that the electric potential ( in units of volts) in a region in space is given as V(xy.z) =…

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Q: An object with charge q = -6.00 x 10^{-9} C is placed in a region of uniform electric field and is…

A: Given data- Charge q=-6.00×10-9 C Kinetic energy at point B is  KEB=3.00×10-7 J Electric potential…

Q: Two point charges, separated by a distance L=4.00 cm are fixed on the x axis as shown in the figure.…

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Q: The three charges in the figure below (D1 = 5.00 cm, D2 = 6.00 cm) are at the vertices of an…

A: The electric potential at a point is given as

Q: Calculate the electric potential at the point 'A' due to the charges q1 = -10 µC and q2 = 16 µC. The…

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Q: If the electric potential is given by V(x, y) =  (12 V/m2) x2 + (3 V/m) y determine the magnitude of…

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Q: A hollow metal sphere has a radius of 5.00 cm. If an excess charge of 50.0 uc resides on the sphere,…

A: Solution:The radius of the sphere is R = 5cm = 0.05m.We have to find out the electric potential 10…

Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 6.50 nC…

A: Electric potential at any point in the region of electrostatic field is the minimum work done in…

Q: Assuming that the two point charges Q1 = 12nC and Q2 = -15nC are at points (4, 3, 1) and (5,-2, 3)…

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Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 11x³…

A: Option A is the right answer  A. -145.53 V/m

Q: A plastic rod has been bent into a circle of radius R = 8.88 cm. It has a charge Q₁ = +8.25 pC…

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Q: A total electric charge of 12.00 nC is distributed uniformly over the surface of a metal sphere with…

A: Write the given values of the problem- Total electric charge(q)=12.00 nCq=12×10-9 Cr=20 cmr=0.2 m…

Q: The figure shows a rectangular array of charged particles fixed in place, with distance a = 40.2 cm…

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Q: A conducting sphere has charge Q and its electric potential is V, relative to the potential far…

A: charge = Q The electric potential = V

Q: A total electric charge of Q = 6 × 10- C is distributed uniformly over the surface of a metal sphere…

A: Given: The value of the charge is 6×10-9 C.             The radius of the sphere is 6 cm.  To…

Q: If the electric potential in a region is given by V(x) = 2/x³, the x component of the electric field…

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Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 5x…

A: The component of the electric field E→in any direction is negative of the rate of change of electric…

Q: The linear non-uniform charge distribution given by lamda = bx, where b is a constant, lies along…

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Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC…

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Q: The electric potential in some region is given by = x²y* + 3z4, The x-component of the electric…

A: Given :    Electric potential, V = x2y + 3z4

Q: The electric potential Vx, y, z) in a region of space is given by V(x, y, z) = Vo (2x - 3y - z ),…

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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.