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Question
(a) Ampere's Law faced a conundrum when it comes to determine the magnetic field inside the capacitor as there is no current flow through the capacitor. Demonstrate how Maxwell utilize Gauss's Law to include the displacement current, Ia in the Ampere's Law in the capacitor case. Include a suitable diagram to illustrate the capacitor with respective Gaussian's surface. (b) Figure 9 shows a cross section of a long conđucting coaxial cable and gives its radii (a, b, c). Equal but opposite currents I are uniformly distributed in the two conductors. i. Derive expressions for magnetic field with radial distance r in the following ranges :7<c, c<r <b, b<r<a and r>a. ii. Plot the graph of magnetic field, B vs radius, r. a Figure 9
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Transcribed Image Text:(a) Ampere's Law faced a conundrum when it comes to determine the magnetic field inside the capacitor as there is no current flow through the capacitor. Demonstrate how Maxwell utilize Gauss's Law to include the displacement current, Ia in the Ampere's Law in the capacitor case. Include a suitable diagram to illustrate the capacitor with respective Gaussian's surface. (b) Figure 9 shows a cross section of a long conđucting coaxial cable and gives its radii (a, b, c). Equal but opposite currents I are uniformly distributed in the two conductors. i. Derive expressions for magnetic field with radial distance r in the following ranges :7<c, c<r <b, b<r<a and r>a. ii. Plot the graph of magnetic field, B vs radius, r. a Figure 9
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