Discuss the role that symmetry plays in the application of Gauss’s law. Give examples of continuous charge distributions in which Gauss’s law is useful and not useful in determining the electric field.
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Discuss the role that symmetry plays in the application of Gauss’s law. Give examples of continuous charge distributions in which Gauss’s law is useful and not useful in determining the electric field.
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- In the figure below, positive charge q = 7.47 pC is spread uniformly along a thin nonconducting rod of length L = 13.0 cm. (a) What is the magnitude of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector? __________N/C(b) What is the direction of the field at point P?____________ ° counterclockwise from the +x-axis (please include units so that I can follow your steps easier)An electric dipole consists of charges +15e and -15e separated by a distance d = 0.863 nm. It is in a uniform electric field of strength 4.531x10³ N/C. The line from the dipole's positive charge to its negative charge is at an angle 0 = 49.9° from the field lines. What is the magnitude of the torque on the dipole? (in N*m) OА: 1.30x10-24 Submit Answer Tries 0/99 -24 OD: 3.05×10 OB: 1.72×10-24 ОС: 2.29х10- -24 OE: 4.06×10-24 OF: 5.40×10-24 -24 OG: 7.18×10" OH: 9.55×10" )-24Two d = 4.40-m nonconducting wires meet at a right angle. One segment carries +2.90 μC of charge distributed uniformly along its length, and the other carries -2.9 µC distributed uniformly along it, as shown in the following figure. K d d ++++ P (a) Find the magnitude and direction of the electric field these wires produce at point P, which is 220.0 cm from each wire. (Assume the +x axis goes to the right.) magnitude direction N/C 。 counterclockwise from the +x direction (b) If an electron is released at P, what are the magnitude and direction of the net force that these wires exert on it? magnitude N direction ° counterclockwise from the +x direction
- Four charges are distributed around a circle as shown in the figure. The point P is at the center of the circle. The magnitude of the electric field generated by each charge point P is 300 N/C. What is the (a) direction and (b) magnitude of the net electric field at point P? li Q₂ Write your answer the following way: (a) Direction (b) Magnitude (Choose from left/right/up/down); Explanation.......... N/C; Calculation / Explanation:...------By using Gauss's Law, show that the electric field in the space between the two conductors of a coaxial cable is given by: E(r) τρι 2πει where "-p" is the linear line charge density (Coulombs / meter) defined for the inner conductor.You have built a device that measures the temperature outside and displays it on a dial as a measure of how far away from room temperature outside is. The way the dial works is that a needle with a charged ball on the end is placed between two charged parallel plates. The strength of the uniform electric field between the plates is proportional to the outside temperature. Given that the charged ball on the needle has a charge of −2.4 µC and the needle can be represented as a string with tension 0.350 N, and is at an angle of 22°, consider the following. What is the mass of the object? gWhat is the magnitude of the electric field? N/C
- The electric field at point P is 9.3 x 1020 N/C @ 343°. What is the angle of the force experienced by a proton if it is placed at point P. Express your answer in degrees.Two parallel, uniformly charged, infinitely long wires carry opposite charges with a linear charge density λ = 1.00 μC/m and are 4.22 cm apart. What is the magnitude of the electric field at a point midway between them and 44.2 cm above the plane containing the two wires?In the figure a uniform, upward electric field of magnitude 1.60 × 103 N/C has been set up between two horizontal plates by charging the lower plate positively and the upper plate negatively. The plates have length L = 17.0 cm and separation d = 1.70 cm. An electron is then shot between the plates from the left edge of the lower plate. The initial velocity of the electron makes an angle 0 = 45.0° with the lower plate and has a magnitude of 6.40 × 105 m/s. (a) Will the electron strike one of the plates? (b) If so, which plate, top or bottom? (c) How far horizontally from the left edge will the electron strike? ↑E 5%8 (a) (b) (c) Number Mr Units <