A charge per unit length λ = +5.26 μC/m is uniformly distributed along the positive y-axis from y = 0 to y = +a = +0.531 m. A charge per unit length λ = −5.26 μC/m is uniformly distributed along the negative y-axis from y = 0 to y = −a = −0.531 m. What is the magnitude of the electric field at a point on the x-axis a distance x = 0.291 m from the origin? (You may enter your calculation using scientific notation.)  N/C

+8.30 nC of charge is uniformly distributed along the top half of a thin rod of total length L = 4.00 cm, while -8.30 nC of charge is uniformly distributed along the bottom half of the rod, as shown in the figure. What is the magnitude of the electric field at the dot, a distance r = 11.7 cm from the centre of the rod?

The electric field at a point due to a point charge is 30 N/C and the electric potential at that point is 15 J/C respectively. What is the distance of the point from the charge and the magnitude of the charge?0.1 m, 0.43 nC0.4 m, 0.77 nC0.5 m, 0.83 nC0.6 m, 0.31 nC

There is a uniform charge distribution given by λ = 3.163 ⋅ 10-8 C/m𝜆 = 3.163 · 10-8 C/m along a thin wire of length L. The wire is then curved into a semicircle that is centered about the origin, so the radius of the semicircle is R = Lπ.𝑅 = 𝐿𝜋. The magnitude of the electric field at the center of the semicircle is 8.788E3 N/C. What is value of L?  m

The figure below shows two lines of charge in cross-section coming out of the page. Each line of charge has a linear charge density of ±3.30 nC/cm and they are separated by a distance d = 19.5 cm. What is the magnitude of the electric field at the dot, a point y = 6.70 cm above the midpoint between the lines?

Consider three charges at points 𝑥1, 𝑦1 = (2.6 m, 1.2 m), 𝑥2, 𝑦2 = (3.7 m, 7.8 m), 𝑥3, 𝑦3 = (9.3 m, 5.2 m) with charges 𝑞1 = 7 nC, 𝑞2 = −9.6 nC, 𝑞3 = 4.7 nC. What is the magnitude of the electric field at the origin (𝑥 = 0, 𝑦 = 0) in N/C? (10 marks)