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In a region in free space, electric flux density is found to be
Everywhere else, D = 0. (a) Using V. D = pv, find the volume charge density as a function of position everywhere, (b) Determine the electric flux that passes through the surface defined by z = 0, -a <<em>x < a, - b < y < b. (c) Determine the total charge contained within the region -a
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Chapter 3 Solutions
Engineering Electromagnetics
- A current of I=4A flows in the +z direction through an infinitely long conductor wire placed along the z-axis. How many A/m is the magnetic field strength (H) at a distance of 5 cm from the wire.arrow_forwardThree long, parallel, straight wires each carrying a 10 A current pass through the vertices of an equilateral triangle (L = 10 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire C? Give your answer in µT. B A Carrow_forwardA cylinder contains a polnt charge q at its center. If the electric flux through one of its caps is q/5Eo, What is the flux through the lateral surface of the cylinder? O a. 3q/5Eo O b. q/5E, Oc. zero O d. q/10E0 O e. 2q/5E0arrow_forward
- 1%AV l. M 9:E7 EA docs.google.com/forms/d/e bläi 5 If all charges have the same magnitude, the ratio of the electric flux through sphere S4 to the flux * :through sphere S3 is S. -1/2 1/2 O -3/2 3/2 Non of the above bläi 5 The resultant electric field at the IIarrow_forwardsinę Given that D = 2pcosy a, in cylindrical coordinates, find the flux crossing %3D 2p the portion of the z = 0 plane defined p s b,0 s psarrow_forwardWhat is the correct electric field vector at point P due to source charge q=-25C? Use k=1x1010 Nm²/C². 3.0m q=-25 C 4.0m O(-10¹0 × 10¹0) N/C O(-x10¹0-x 10¹0) N/C O 1x 10¹0 N/C (×10 ¹0+ 10¹03) N/C O(x10¹0+ 10¹03) N/Carrow_forward
- 3. A wire segment carries a positive current "I" in the positive x-direction in a wire segment on the x-axis as shown. The +z axis points out of the page toward you. y R = +0.575m x1 = +1.00m x2 = +6.00m I=+1,000A. Calculate the size and direction of the magnetic field at point P. 74°Farrow_forwardThree long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an equilateral triangle (L = 8.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire B? Give your answer in uT. B Her birinden 8,0 A akım geçen üç uzun ve birbirine paralel düz tel bir kenarı L-8,0 cm olan bir eşkenar üçgenin köşelerinden geçmektedirler. B ve C tellerinden geçen akım sayfa düzleminden bize doğru, A telinden geçen akım sayfa düzleminden içeri doğrudur. B telinin üstünde manyetik alanın x ve y bileşenleri µT cinsinden nedir? Yanıtınızarrow_forwardAn infinitely long wire carrying a 50 A current in the positive x direction is placed along the x axis in the vacinity of a circular loop carrying 10 A current located in the x – y plane. Determine the magnteic field at the center of the loop.. Im I = 20 A d = 2 m I = 50 Aarrow_forward
- Gauss law can be used if the structure carrying the charge is asymmetric around the point. Select one: True False ionarrow_forwardQuestion 2 A negatively charged particle enters from the left through a magnetic field of magnitude 6.0×10-6 T directed into the page. What is the magnitude and direction of the force if the magnitude of its velocity is 2.0x105 m/s?arrow_forwardA long cylindrical conductor whose axis coincides with +z axis carry a current density of 0.5A/m² The radius of the cylinder is 1m. What is the magntitude of magnetic field at 0.2 m away from the axis of this cylinder. OH = 0.05 OH = 0.02 H = 0.5 OH = 0.2arrow_forward
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