A stick with a varying linear charge density of λ = (14 - 1x) nC/m lays on the x axis from x = 6 m to 10 m. Find the electric field and the electric potential at point P, at the origin, x = 0 m. Note that λ is no longer a constant! Note that the charge density is 8 nC/m when x = 6 m

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: Consider a negatively charged bead with −1.5 × 10-9 C being held at the origin of a Cartesian…

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Q: Two concentric rings, of radii R and 2R, lie on the y-z plane and at the origin as shown in the…

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Q: Consider a parallel-plate capacitor constructed of two square plates, 5.67 m on a side, separated by…

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Q: A conducting sphere of radius R carries a net positive charge Q, uniformly distributed over the…

A: The distance at which the electric potential is required is given by r=R4

Q: Consider a parallel-plate capacitor constructed of two square plates, 8.95 m on a side, separated by…

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Q: phere S of radius R has volume charge density P (r) = Bßré, where ʻr’ is distance from centre and ß…

A: Electric field is the negative gradient of electric potential.

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: A point charge q1 = -8.6 uC is located at the origin, and another point charge q2 = 4.2 uC is…

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Q: The cylindrical shell of length L = 1m and radius R = 2m is placed on the x-axis. Its its principal…

A: Option (d) is correct.

Q: A plastic rod has been bent into a circle of radius R = 11.1 cm. It has a charge Q1 = +4.61 pC…

A: Given Data The radius of the circle is R = 11.1 cm. The charge on the circumference is Q1 = +4.61…

Q: A semi-circular ring of radius R = 1.00 m carries a charge Q = 2.00 nC that is uniformly…

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Q: For a single, isolated point charge carrying a charge of q = 5.22 × 10-¹¹ C, one equipotential…

A: This is a problem regarding the potential arising from the presence of a charge: From the Coulomb's…

Q: A rod of length L is lying on x-axis with left end at the origin and has a non-uniformly linear…

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Q: There are two thin, hollow concentric spherical shells. The inner shell is charged with 8.0 nC and…

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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: Over certain region of space the electric potential is V = 15x – 3xty + 12yz. Find the expression…

A: Given  V = 15x- 3x²y +12yz²   Point =(1,0,-2)  Now electric field is given as

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

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Q: A very thin rod carrying linear charge density A lies in the ry plane making angle 7/4 with the x…

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Q: An insulating, solid sphere has a uniform, positive charge density of p=1.70×10-7 C/m³ . The sphere…

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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: Consider a uniformly charged ring of radius R-0.2 m and linear charge density 2-3 µC/m as shown in…

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Q: A metallic sphere of radius 2.0 cm is charged with +5.0−μC charge, which spreads on the surface of…

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Q: An object with charge q = -11.00 nC is placed in a region of uniform electric field and is released…

A: Given: Charge, q=-11 nC=-11×10-9 C Work done by the electric field, W=0.5 μJ=0.5×10-6 J Electric…

Q: In a Figure above, point P is at distance d, = 6.62 m from particle 1 (q1 = -4e) and distance d2 =…

A: d1 = 6.62 m q1 = -4ed2 = 2.15 m q2 = +2e

Q: The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x² volt.…

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Q: a very large, flat plate with

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Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 7.50 nC…

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Q: certain distance from a charged particle, the magnitude of the electric field is 550 volts/meter and…

A: Electric field due to point charge E = KQ/r2  Electric potential due to point charge V = KQ/r

Q: It is known that the electric quantity Q is uniformly distributed on the spherical surface of radius…

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Q: The math form for an electric potential is 3 x²y + 2 y²xz. What is the corresponding electric field…

A: Given, the math for an electric potential V =3x2y+2y2xzwe have to calculate the corresponding…

Q: An infinitely long wire of linear charge density +3 nC/m is surrounded by a metallic shell of inner…

A: At BCM Electric field due to the linear charge long wire at a distance r is E= λ1/ 2πEor Where λ1 is…

Q: Consider two positive charges located on the y - axis. Let Q = 4.0 µC, and a = 0.07 m. Find the…

A: (a)   Electric potential at point origin ,O                    E0=kQa+kQa…

Q: We are given two point charges (Q1 = -18.7 µC and q2 = +20 µC), placed on the x-axis at the…

A: Given Data: The charge 1 is: Q1=-18.7 μC The charge 2 is: Q2=20 μC The position of charge 1 is:…

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

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Q: Consider a uniformly charged ring of radius R=0.2 m and linear charge density 1-3 µC/m as shown in…

A: apply v = kq/r

Q: The three charged particles in the figure below are at the vertices of an isosceles triangle (where…

A: Given: distance d = 1.0 cm charge q = 7.3 μC

Q: Consider the almost complete circle of wire shown in the figure with radius r and with a uniformly…

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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 three charges in the figure below are at the vertices of an isosceles triangle. Let q = 4.00 nC…

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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.