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A line charge with charge density
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Fundamentals of Electromagnetics with Engineering Applications
- The work done by the force F- da. - 3a, + 2a. Nin giving a InC charge a displacement of 10a, + 24 - 7a, m is ? (note: be aware of the sign for the given direction) (a) 103al (b) 60 nl (e) 64 n (d) 20 narrow_forwardME. 2. A positive point charge q = 3μC is surrounded by a sphere with radius 0.2m centered on the charge. Find the electric flux through the sphere due to this charge. Select one: O a. 300000 Nm2/C b. 340000 Nm2/C O c. 430000 Nm2/C O d. 400000 Nm2/C Clear my choicearrow_forwardIn dielectric material withɛ=2.8 80, V= sin(30). At point P (1, 10°, 4), the volumetric charge density equals to 111.408 pC/m3 O 192.965 pC/m3 222.816 pC/m3 57.669 pC/m3arrow_forward
- Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) Three charges lie along a horizontal line. A 6.00 µC positive charge is on the left. 3.00 cm to its right is a 1.50 µC positive charge. 2.00 cm to the right of the 1.50 µC charge is a −2.00 µC charge. N/C(b) If a charge of −3.89 µC is placed at this point, what are the magnitude and direction of the force on it? magnitude N direction ---Select--- toward the right toward the left upward downwardarrow_forwardGiven that the expression for the current density (See figure below). Determine the current in micro-amperes through a conical strip of 0 = pi/4 and Immarrow_forwardTwo parallel plates are positioned 5.00 cm apart with 3.00 x104 volts across them. The positive plate is at x = -2.50 cm and the negative plate is at x = +2.50 cm. (Assume negative is to the left and positive is to the right.) A point charge of 2.50 x106 C and 2.61 x10 14 kg is released from rest at x = 0.00 m. The electric potential where the point charge is released from is V. The point charge will be accelerated to the (left/right) When the point charge reaches the plate, it will have a kinetic energy of J, or eV. This means the point charge will be traveling at m-s1 when it hits the plate.arrow_forward(al:Determine E caused by the spherical cloud of electrons with a volume charge density of - 1.68 x 10 -18 for 0 10mm. Clearly mention the surfaces, there differential components and write the equation properly by doing all the steps. (b): For the dielectric composition shown in the figure find out its total capacitance.arrow_forwardH.W. 6: For the charge distribution shown in figure below. Find E at the origin. 45° PL 3 45° =-2 [nC/m]arrow_forwardExample A sinusoidal voltage wave having an amplitude of 10 V and 1 frequency 1MHZ is applied across two plane parallel plates kept 2 cm apart in vacuum. An electron is released with an initial velocity of 1.5×106 m/second along the lines of force at an instant when the applied voltage is zero. Find an expression for the speed and distance of the electron at any subsequent time t. Solution 37arrow_forwardA solid conducting sphere of radius R carries a charge +Q. A thick conducting shell is concentric with the sphere and has an inner radius R2 and outer radius R3. The shell carries a charge -Q. The figure shows a cross section. a) Where are the charges located? Add charge symbols to the figure. R1 R3 R2 b) Add a few electric field lines and equipotential lines to the figure. Please label the lines clearly. c) Draw a sketch of the potential as a function of distance from the center of the sphere. Please label all interesting points on the graph.arrow_forwardME. 3. A positive point charge q = 1.2μC is surrounded by a sphere with radius 0.7m centered on the charge. Find the electric flux through the sphere due to this charge. Select one: O a. 175163.08 Nm2/C O b. 153167.08 Nm2/C O c. 167315.80 Nm2/C Od. 135716.80 Nm2/C Clear my choice <arrow_forwardIn the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y₂ = -8.38 cm and y4 = 4.19 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.38 cm and particle 3 is at x3 = 8.38 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force Fnet on particle 5 by 30° (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original counterclockwise? direction? (a) Number i (b) Number i Units Units 10arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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