A charge q = 2.00 µC is placed at the origin in a region where there is already a uniform electric field E =- (100 N/C) i . Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin. (Eo = 8.85 x 10-12 C²/N • m²) O 2.26 x 105 N• m²/C zero O 5.52 x 105 N• m²/C O 1.13 x 105N . m²/C

Consider a ring of charge.  The ring is in the x-y plane and has a radius of 3.5 m.  The charge per angle as a function of angle α (in radians) around the ring is given by dQ/dα = 6.9 α  (nC/rad). Calculate the z-component of the electric field, in N/C, at the coordinate (0, 0, 9 m).  Use k = 9 x 109 N m2 / C2. (Please answer to the fourth decimal place - i.e 14.3225)

Point P sets above an infinite line of charge 2 m in the positive z direction. The line of charge itself has a charge density ? of -5.0 x 10⁶ C/m. What is the magnitude of the electric field at point P?

The figure gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by Es = 4.3 × 107 N/C. What is the charge on the sphere?

A solid non-conducting sphere of radius R carries a uniform charge density. At a radial distance r 1  = 6R  the electric field has a magnitude E 0. What is the magnitude of the electric field at a radial distance r 2 = R/6 as a multiple of E 0 ?

On the x axis, a point charge Q = +4.55E-6 C is placed at the origin x = 0.00 m. What is the electric field E at x = –2.82 m (in N/C; use positive sign if E points in the +x direction, and negative sign if E points in the –x direction)?

A uniform electric field exists everywhere in the x, y plane. This electric field has a magnitude of 5300 N/C and is directed in the positive x direction. A point charge -9.4 x 109 C is placed at the origin. Find the magnitude of the net electric field at (a) x = -0.16 m, (b) x = +0.16 m, and (c) y = +0.16 m. (a) Number i (b) Number i (c) Number i Units Units Units

The figure below shows three charged spheres arranged along the y axis. (Assume 91 = 75.0 cm 22.0 cm 91 –4.80 μC 92 X (a) What is the electric field at x = N/C = 0, y = 3.50 m? (b) What is the electric field at x = 3.50 m, y = 0? Z N/C 2.70 μC and 92 = 4.15 μC. Express your answers in vector form.)

Two flat conductors are placed with their in- ner faces separated by 16 mm. If the surface charge density on inner face A is 105 pC/m and on inner face B is -105 pC/m², calculate the electric po- tential difference AV VA VB- Use €0 = 8.85419 x 10¬12 c² /Nm². Answer in units of V. %3D

An excess positive charge of 6.60 C is transferred to an isolated spherical conductor of radius ?=12.7 cm. What is the volume charge density within the sphere?