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You have a cylinder of 4.00–in diameter and 5.00–in length (imagine a can of tomatoes) that has a charge distribution that varies with radius as
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Fundamentals of Electromagnetics with Engineering Applications
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- Please answer in 4 decimal points Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -9 nC/m at x = -1, y = -9, while the other has a charge density of 5 nC/m at y = -3, z = -8. Determine the y-component of the electric field in V/m at (2, 9, 4). All coordinates are measured in meters.arrow_forwardCalculate the linear charge density (nC/m) when the inner diameter of the pipe is 19.6 mm and the wire diameter is 137 μm. a voltage of 827 V is connected between the wire and the pipe. Calculate it by using C=2πϵ0*L/r(a)/r(b), as a cylinder capacitor.arrow_forward1.An aluminum wire having a radius of 8.97 mm and carrying a current of 6.43 mA is connected in a circuit. What is the drift speed of the electrons carrying this current? The density of electrons in an aluminum is 6.02×10^28 electrons/m^3. There is one conduction electron per atom in aluminum. Note: elementary particle charge e=1.602×10^−19 As Answer: __________ ×10^−8m/s 2. A potential difference of 14.99 V is applied across a wire of cross-sectional area 3.41 mm^2 and length 1,095 km. The current passing through the wire is 3.7 ×10^−3 A. What is the resistivity of the wire? Answer: _________ ×10^−8Ωm The temperature coefficient of resistivity for copper is 0.0068(C∘)^−1. If a copper wire has a resistance of 104 Ω at 23.26°C, what is its resistance 73.37°C? Answer: ________ V/m answer 1,2,3arrow_forward
- Find the numerical value of the volume charge density at the point specified: D = rsinθcosΦ aθ C/m2 at PC(r = 1.5, θ =300, Φ = 500).arrow_forwardSolve only c,d Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .arrow_forwardcan you please solve this question, thanks. Volume charge density is given by e-1000re-100z C/m3 . Find the maximum value of rv in the region 0 ≤ r ≤ 0.01 m, 0 ≤ f ≤ 2p, 0 ≤ z≤ 0.01 m.arrow_forward
- A 5uC charge is uniformly distributed along the line y = 2x2 - 1, from x0 = 1m to xf = 2m. Calculate the electric force on a 5uC charge located at point P (5,3) meter.arrow_forwardEmag If D = (2y^2+z)ax + (4xy)ay + xaz C/m^2 find a.Volume charge density at (-1,0,3) b. Lines of electric force passing through a cube with dimensions 0arrow_forwardThe current in a conductor varies as follows: during the first 10sec, there is a linear change from zero to 5.5 amp; on the next 15 sec, the current is constant at 5.5 amp, and for the third period of 20 sec, the current decreases linearly to 2.5 amp. Determine charge (coulomb) from t = 0 toa. t = 10s,b. t = 15s,c. t = 25s.d. Also, solve for the total charge transferred in the elapsed time of 45 sec and draw the charge graphical representation with respect to time (t).arrow_forward
- A uniformly charged, straight filament 4.40 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 4.90 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. (a) Using reasonable approximations, find the electric field at the surface of the cylinder. magnitude kN/C direction (b) Using reasonable approximations, find the total electric flux through the cylinder. N · m2/Carrow_forwardConsider a line of charge that extends along the x axis from x = 0 to x = 4.7 m. The line has a non-uniform linear charge density given by ?λ(x) = 8.4 x2 (nC/m). Calculate the electric potential at x = -1.3 m. Use k = 9 x 109 N m2 / C2. You may need to use u-substitution if you choose to evaluate the integral yourself. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardThree solid plastic cylinders all have radius 5 cm and length 12.00 cm. One (a) carries charge with uniform density 25.0 nC/m2 everywhere on its surface. Another (b) carries charge with the same uniform density on its curved lateral surface only. The third (c) carries charge with uniform density 700 nC/m3 throughout the plastic. Find the charge of each cylinder.arrow_forward
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