A line of positive charge is formed into a semi circle of radius R = 60.0 cm. The charge per unit length along the semicircle is described by the expression λ=λ0 cos θ. The total charge on the semicircle is 12.0 μC. Calculate the total force on a charge of 3.00 μC placed at the center of the curvature.

What is the y (vertical) component of the force exerted on charge qc by charges qa and qb?

Four identical charged particles (q +11.1 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L-60.6 cm and W 16.4 cm. L W (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. XN (b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. x (counterclockwise from the +x-axis)

Consider two charges q1=−40e and q2=−48e at positions (48,−46,29) and (32/√3, −10/√2 ,21) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q1 is r⃗ 1 and charge q2 is r⃗ 2. Now consider another charge q3=−47e is in the xyz system positioned at (−41/√3, 42/√2, 35). Calculate the net force acting on q1 and q2. c) Net Force on q1 due to other charges x component of the force y component of the force z component of the force d) Net Force on q2 due to other charges x component of the force y component of the force z component of the force

What is the linear charge density of a thin wire bent into a circle (or ring) of radius 6.48 cm if the total charge on the wire is 3.86 µC? Give your answer in μC/m.

A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 228 nC and the spherical shell has zero net charge. What is the electric field at a point 3.80 cm from the center? Enter a positive answer if the electric field is directed away from the center and a negative answer if the electric field is directed toward the center.

A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the force on an electron located midway in the space between the shell and the solid sphere?

The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.10 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.8R₁ and the (same) length L. The net charge on the rod is Q₁ = +3.62 × 10-12 C; that on the shell is Q2 = -2.0501. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.13R₂? What are (c) E and (d) the direction at r = 5.12R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? R₂ R₁

Two charges are located in the x-y plane. If q1 -3.50 nC and is located at (x = 0.00 m, y = 0.960 m), and the second charge has magnitude of q2 = 4.80 nC and is located at (x = 1.40 m, y 0.650 m), calculate the x and y components, Ex and Ey, of the electric field, É, in component form at the origin, (0, 0). The Coulomb force constant is 1/ (4reo) = 8.99 x 10° N · m²/C². -13.58 -40.45 Ex N/C Ey N/C Incorrect Incorrect II

An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell?  B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell?  C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.