Test 2 ramlee revised
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This document contains two questions regarding electromagnetic theory. Question 1 involves calculating the capacitance, resistance, polarization vector, and potential difference for a coaxial capacitor filled with lossy Teflon. Question 2 involves determining the electric field E1 that exists in a region with χe1 = 3 given that E2=8x-12y-4z in another region, and repeating the question with different material properties. The document provides the necessary equations and asks the reader to calculate various electromagnetic properties for different conductor and material configurations.
![TEST 2: ELECTROMAGNETIC THEORY (SEE 2523)<br />Duration: 1 hour Instruction: Answer ALL questions<br />Q1.<br />Given a coaxial capacitor with the length of L which has two coaxial conductors with radius a and b for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. Show that the capacitance as: [5 marks]<br />C=2πεLlnba<br />If the length of the coaxial, L = 100m, the inner radius a = 1cm and the outer radius b = 4cm and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine:<br />The capacitance [2 marks]](https://image.slidesharecdn.com/test2ramleerevised-110309080636-phpapp01/85/Test-2-ramlee-revised-1-320.jpg)
Test 2 ramlee revised
- 1. TEST 2: ELECTROMAGNETIC THEORY (SEE 2523)<br />Duration: 1 hour Instruction: Answer ALL questions<br />Q1.<br />Given a coaxial capacitor with the length of L which has two coaxial conductors with radius a and b for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. Show that the capacitance as: [5 marks]<br />C=2πεLlnba<br />If the length of the coaxial, L = 100m, the inner radius a = 1cm and the outer radius b = 4cm and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine:<br />The capacitance [2 marks]
- 2. The resistance across the Teflon [3 marks]
- 3. The Polarization Vector, P, and surface bound density, ρρs at r = a and r = b [4 marks]
- 4. Potential Different between r = 3cm and r = 6cm [4 marks]
- 5. Q2.<br />Given that E2=8x-12y-4z and has χe2 = 1, determine E1 exists in region 2y-x≤4 and χe1 = 3 [7 marks]
- 6. Repeat Q2 (a)by substituting Region 2 with free space and Region 1 with Silver (σ = 6.1x107 Sm-1). Given ρs = 4 nCm-2, determine E and D at point (2,2,6) and (1,3,4) [5 marks]∇=∂V∂r r+∂Vr∂∅ ∅+∂V∂z z<br />∇2V=1r∂∂r(∂V∂r) +1r2∂2V∂∅2+∂2V∂z2<br />