Suppose there is a cylinder centered on the same axis of the charge distribution. What amount of charge would be within the cylinder of length, L, and radius, R?
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- CONFIGURATION 4 Now we want to look at a charge distribution. You have a total charge of +6.00 nC spread along a line (with a uniform charge density). This charge is spread over 0.5 m in length. Calculate he electric field at a position P, which is 1.5 m away from the closest end of the line of charge (see the image below). Total Q = + 6.00 nC Pt. P 0.5 m 1.5 m figure 1 d Electric Field - Configuration 4 Predicted Electric Field at Point PA circular plastic disk with radius R = 2.00 cm has a uniformly distributed charge Q = +(2.00 x 106)e on one face. A circular ring of width 30 µm is centered on that face, with the center of that width at radius r = 0.50 cm. In coulombs, what charge is contained within the width of the ring?The figure below shows four small beads, each with a positive charge, at the corners of a square. The length of each side of the square is a. The bead at top-right has a charge of q; the one at lower-left has a charge of 8.0q; the other two each have a charge of 6.0g. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) a 6.09 а 8.0g 6.0g a (a) What is the magnitude of the force on the bead with charge q? Express your answer in terms of k, q, and a in symbolic form. ka [12.485] F = a? What is the magnitude of the force due to each charge? (Be careful with distances.) What is the direction of each force? Using trigonometry, can you find the x- and y-components of each force? After finding the x- and y-components of the net force, how can you use them to find the magnitude of the net force? (b) What is the direction of the force on the bead with charge q? (Enter your answer in degrees counterclockwise from the +x-axis.) 45 ° counterclockwise from the +x-axis
- Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)5. In below figure, a small, non-conductor ball of mass m =3.0 mg and charge q = 9.0 µC hangs from an insulating thread that makes an angle e charged non- conductor plane. Considering the gravitational force on the ball and assuming the plane extends far vertically and into and out of the page, calculate the area charge density of the plane. Length of string is 120.0 cm. 30° with a vertical, uniformly lo120cm + JploneA wire has a linear charge density (x) = 2.35x, where x is in meters (m) and is in C/m. If the length of the wire is 3.7 m, the total charge on the wire is O 16 C. 11 C. O 8.0 C. 1.2 C.