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A straight rod of length L = 23.80 cm carries a uniform charge density λ = 1.50 × 10-6 C/m. The rod is located along the y-axis from y₁ = 0.00 to y₂ = L. The Coulomb force constant is k = 8.99 x 109 Nm²/C². Find the expression for the electric field along the y-axis E, at a point P. What is the magnitude of the electric field at Yo = 45.00 cm? Ey N/C = Yo I I 1 1 I + + + + + + + + + + +

A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of λ = 3.99 x 10-6 C/m and a radius of R = 3.55 cm. Find the total electric field, E, of the ring at the point P = (2.02 m, 0.00 m). The Coulomb force constant is k = 1/(4л€0) = 8.99 x 10° N-m²/C². E = N/C Find the expression for the electric field, E, of the ring as the point P becomes very far from the ring (x > R) in terms of the radius R, the distance x, the total charge on the ring q, and the constant k = 1/(47€). E = dq --- dE

Two circular plates, each with a radius of 3.22 cm, have equal and opposite charges of magnitude 1.652 µC. Calculate the electric field between the two plates. Assume that the separation distance is small in comparison to the diameter of the plates. electric field: N/ The plates are slowly pulled apart, doubling the separation distance. Again, assume the separation distance remains small in comparison to the diameter of the plates. What changes occur with the electric field between the plates? The electric field increases by a factor of 2. The electric field decreases by a factor of 4. The electric field decreases by a factor of 2. The electric field increases by a factor of 4. The electric field stays the same.