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Fundamentals of Electromagnetics with Engineering Applications
- Two identical Conducting spheres having unequal opposite charges attract each other with a force of 3.15 N when separated by 0.2 m. The sphere experiences a force of repulsion of 0.625 N when they are made to touch for moment and then placed at a distance 0.3 m apart. Find the initial charge on each sphere.arrow_forwardThe following charges distributions are present in free space as shown in Figure, point charge 6 nC at P(2.0,6). a uniform infinite line charge density 1.5 nCm at x-2, y- 3, and infinite surface charge density 0.1 nCm atx2. the electric field at origin due to the point charge only is le charge 4.427a-1281a 475 ax ONone of Thesearrow_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_forward
- A volume charge density is known to be Delta(n, deg, z) in cylindrical coordinates. What is the appropriate expression to evaluate the total charge (for an arbitrary geometry)arrow_forward(1) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting material of length L = 7 m and cross-sectional area A = 2.5 mm2 lies along L. The material obeys Ohm's law, and its resistivity varies along the %3D the x-axis between z = 0 and z = rod according to p= po 1 where po L? 2.5 x 10 4N. m. The end of the rod at a = 0 is at a %3D potential Vo = 40 V greater than the end at a = L. A) What is the total resistance, in units of 2, of the rod? Answer: B) What is the current, in units of miliamperes, in the rod? Answer: C) What is the electric potential, in units of Volt, in the rod at z = L/2? Answer:arrow_forwardA cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric field intensity at radius r = 0.32m and l =0.6m? ii. What is the flux through the cylinder if its length increased to l =0.8m? iii. What is the electric field intensity at radius r= 0.32 and l=0.8m? iv. Briefly explain the effect of an increase or decrease of radius andlength on the electric field intensity.arrow_forward
- Q-4: In a one-dimensional device, the charge density is given by If E=0 at x = 0 and x p(x) = Poa' V = 0 at x = a, find V and E for this device at any point 0 ≤ x ≤a. P= P₁ & II X=Garrow_forwardGauss law states that the electric flux passing through any closed surface is equal to Select one: a. the total charge outside that surface b. None of the above c. the total charge enclosed by that surface.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_forward
- Q-4: In a one-dimensional device, the charge density is given by p(x) = po, If E=0 at x = 0 and x V = 0 at x = a, find V and E for this device at any point 0 ≤ x ≤a. & P = P₁ & ² x=0 X=Garrow_forwardA conductive sphere has: Select one: O a. All its load distributed evenly over the entire surface. O b. All its load distributed evenly over the entire volume. O . The conductive spheres have no charge. O d. All your load centered on the central point of the volume.arrow_forwardQ4/ For the following configuration, both line and cylinder are infinite in extent with z-axis ρι -3μ C/m %3D ... 2 m 1.5 -C/m² Ps ... . .. .. ... .. .... ... .... .... ... . The value of electric field density at r= 3 m The value of electric field density at r= 1 m 0.0796 μC/m? 0.0398 μC/m2 0.239 μC/m 0.477 μC/m O Option 1 Option 2 O Option 1 Option 2 0.0531 µC /m² 1.5 μC/m2 O Option 3 None of the above O Option 3 O None of the abovearrow_forward
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