*16 O The box-like Gaussian surface shown in Fig. 23-38 en- closes a net charge of +24.0eo C and lies in an electric field given by E = [(10.0 + 2.00x)i – 3.00j + bzk] N/C, with x and z in me- ters and b a constant. The bottom face is in the xz plane; the top face is in the horizontal plane passing through y, = 1.00 m. For x = 1.00 m,x2 = 4.00 m, z1 = 1.00 m, and z2 = 3.00 m, what is b? -- Figure 23-38 Problem 16.

Ignore what i wrote in pencil

Part A Uniform plane of charge. Charge is distributed uniformly over a large square plane of side l, as shown in the figure(Figure 1). The charge per unit Determine the electric field at a point Pa distance z above the center of the plane, in the limit l → 0. [Hint. Divide the plane into long narrow strips of width dy, and use the result of Example 21-11 in the textbook; then sum the fields due to each strip to get the total field at P] • (C/m²)is area is o. Express your answer in terms of the variables o, z, and appropriate constants. Figure < 1 of 1 ν ΑΣφ dE dE E = dE, P dy Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining

Consider a charged sphere of radius R having uniform volume charge density. Electric field at point e,r, (d) none of these

(3) A circular surface with a radius 0.057 m is exposed to a uniform external electric field of magnitude 1.44 x 104 N/C. The magnitude of electric flux through the surface is 78 Nm²/C. What is the angle between the direction of the electric field and the normal to the surface?

(b) It was measured that the electric field at point P with magnitude 450 N/C just outside the outer surface of a hollow spherical conductor. The direction of the electric field is directed outward. The hollow spherical conductor has an inner radius of 15 cm and outer radius of 30 cm. After that, another particle with unknown charge Q is put at the center of the sphere, the electric field at point P is still directed outward but the magnitude of the electric field decreased down to 180 N/C. i. Calculate the net charge enclosed by the outer surface before particle Q was introduced ii. Calculate charge Q After charge Q was introduced, iii. Determine the charge on the inner surface of the conductor iv. Determine the charge on the outer surface of the conductor

+20 +0 +20 Four point charges of varying magnitude and sign are arranged on the corners of the square of side d as shown in Fig. 21-6. Which of the arrows shown represents the net electric field acting on the point charge with a charge +Q? O D O A O none of the given choices O C O B

30 In Fig. 23-43, short sections of two very long parallel lines of charge are shown, fixed in place, Line 1 separated by L= 8.0 cm. The uni- form linear charge densities are +6.0 µC/m for line 1 and -2.0 µC/m for line 2. Where along the x axis shown is the net electric field from the two lines zero? Line 2 L/2 | L/2 Figure 23-43 Problem 30.

65 In Fig. 22-64a, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Fig. 22-64b, that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 0. The charge on the arc pro- +Q/e/2 duces an electric field e/2 of magnitude Eare at its cen- ter of curvature P. For what value of e does Eare 0.500Epart? (Hint: You will probably resort to a graphi- cal solution.) (a) (6) Figure 22-64 Problem 65.