RC-2 A half ring of charge lies in the x-z plane with its center at the origin as shown to the right. There are λ coulombs per meter of charge evenly distributed along the ring, which has radius 'a'. a) Sketch on your paper figures like the figures shown to the right. On your figures show an arrow representing the electric field at the point P that is produced by source charge element dq. 3D view: Z (C/m) Ф. dq b View looking from point P toward the origin: y

A 47.0-m length of coaxial cable has an inner conductor that has a diameter of 2.58 mm and carries a charge of 8.10 µC. The surrounding conductor has an inner diameter of 7.27 mm and a charge of -8.10 µC. Assume the region between the conductors is air. (a) What is the capacitance of this cable? C = nF (b) What is the potential difference between the two conductors? AV = KV

A rod and two balloons A very thin glass rod 4 meters long is rubbed all over with silk cloth. It gains a uniformly distributed charge 1.2 x 10-6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each gain a uniformly distributed charge of -4 x 10-8 C. The balloons are near the midpoint of the glass rod, with their centers 3 cm from the rod. The balloons are 2 cm apart (4.4 cm between centers). Length 4 m (drawing not to scale) 2 cm 3 cm Radius 1.2 cm 0,6 cm (a) Find the net electric field at the location marked by the x, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to E at this location? What are the correct distances from sources to the observation location? What is the direction ofE due to the rod? (The drawing is not to scale; read the problem statement carefully. Assume the +x axis is to the right, the +y axis is up, and the +z axis is out.) N/C What approximations…

As shown in (Eigure 1), metal sphere A has 4 units of negative charge and metal sphere B has 2 units of positive charge. The two spheres are brought into contact. A T Touch B ♥ Part A What is the final charge state of each sphere? Express your answers in units of charge separated by a comma. 9A.9B = Submit 195] ΑΣΦ Request Answer 0 ?

(b) When the silicon is in a certain position, the probe is 3.5 mm from it. The silicon must remain within 0.70 mm of this position. Determine the maximum allowable percentage decrease in the charge on the capacitor. k=2.8 x 10-15 Fm (4)

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A cube has sides of length L = 0.390 m. It is placed with one corner at the origin as shown in the figure (Figure 1). The electric field is not uniform but is given by E=(-4.40 N/(C. m))+(3.10 N/(C-m))ak Part A Find the electric flux through each of the six cube faces S1, S2, S3, S4, S5, and S6- Enter your answers in ascending order separated by commas. Figure S₁- (left side) L S₂ (top) 41, 42, 43, 44, 45, 46 = Submit Request Answer Part B Η ΕΕ ΑΣΦ Find the total electric charge inside the cube. ΜΕ ΑΣΦ q= <1 of 1 Submit Request Answer Provide Feedback So (back) S3 (right side) S4 (bottom) Ss (front) y ? C ? (N/C) m²

A uniform electric field of magnitude 260 V/m is directed in the positive x direction. A +15.0 μC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge field system? ] (b) Through what potential difference does the charge move? v

A charged nonconducting rod, with a length of 2.52 m and a cross-sectional area of 4.76 cm², lies along the positive side of an x axis with one end at the origin. The volume charge density p is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if p is (a) uniform, with a value of -4.66 µC/m³, and (b) nonuniform, with a value given by p= bx², where b = -2.18 µC/m²? (a) Number i (b) Number i Units Units

Two point charges are on the y axis. A 4.90-µC charge is located at y = 1.25 cm, and a -2.04-µC charge is located at y = −1.80 cm. (a) Find the total electric potential at the origin. V(b) Find the total electric potential at the point whose coordinates are (1.50 cm, 0).