A thin rod lies on the x-axis with one end at -A and the other end at A, as shown in the diagram. A charge of -Q is spread uniformly over the surface of the rod. We want to set up an integral t find the electric field at location < 0, y, 0 > due to the rod. Following the procedure discussed in the textbook, we have cut up the rod into small segments, each of which can be considered as point charge. We have selected a typical piece, shown in red on the diagram. (0, y, 0) -Q dx A Use the following as necessary: x, y, dx, A, Q. Remember that the rod has charge -Q. (a) In terms of the symbolic quantities given above and on the diagram, what is the charge per unit length of the rod? (b) What is the amount of charge dQ on the small piece of length dx? dQ = (c) What is the vector from source to observation location? F = (d) What is the distance from the source to the observation location? d = (e) When we set up an integral to find the electric field at the observation location due to the entire rod, what will be the integration variable?

can you please ans (k)  & ( l)?

In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degree

! Required information A long, straight wire carrying a steady current is in the plane of a circular loop of wire. I -Long wire Conducting loop If the loop is moved closer to the wire, what direction does the induced current in the loop flow? v (Click to select) Counterclockwise Clockwise

A plastic rod 1.4 m long is rubbed all over with wool, and acquires a charge of -5e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis out of the page. In order to calculate the electric field at location A = m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece. h b d j zero magnitude (a) What is the length of one of these pieces? (b) What is the location of the center of piece number 2? m. (c) How much charge is on piece number 2? (Remember that the charge is negative.) coulombs (d) Approximating piece 2 as a point charge, what is the electric field at location A due only to piece 2? N/C (e) To get the net electric field at location A, we would need to calculate E due each of the 8 pieces, and add up these contributions. If we did that, which arrow above would best represent the direction of the net…

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A plastic rod 1.3 m long is rubbed all over with wool, and acquires a charge of -5e-08 coulombs. We choose the center of the rod to be the origin of our coordinate system, with the x-axis extending to the right, the y-axis extending up, and the z-axis out of the page. In order to calculate the electric field at location A = m, we divide the rod into 8 pieces, and approximate each piece as a point charge located at the center of the piece. 2 3 4 5 7 8 j zero magnitude physPad (a) What is the length of one of these pieces? l = 0.1625 Operations Symbols (b) What is the location of the center of piece number 3? Relations C X m. Sets Vectors In e (c) How much charge is on piece number 3? (Remember that the charge is negative.) Trig -6.25e-09 coulombs 10" log Greek Help (d) Approximating piece 3 as a point charge, what is the electric field at location A due only to piece 3? |미 o! X N/C (e) To get the net electric field at location A, we would need to calculate E due each of the 8 pieces,…

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Two identical thin rods of length L are each charged with a positive charge q that is uniformly distributed on each rod. The rods are arranged parallel to each other along the x direction and are separated by a distance 2d, as shown in the figure below. Determine the electric field at point P, which is located a distance d from the right endpoint of each rod. Hint: You will eventually need the following integral: น 1 S (a²+u²)3/2 du = − + C √a²+u²