Homework 7

# Homework 7 - homework 07 KANUNGO ANIL Latest unpenalized...

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homework 07 – KANUNGO, ANIL 1 Latest unpenalized work: Sep 17 2007 Mon- day 04:00 (after this date you can not make a perfect score). Work cutoff: Sep 18 2007, 4:00 am. Question 1, chap 24, sect 3. part 1 of 4 10 points A long coaxial cable consists of an inner cylindrical conductor with radius R 1 and an outer cylindrical conductor shell with inner radius R 2 and outer radius R 3 as shown. The cable extends out perpendicular to the plane shown. The charge per unit length along the cable on the inner conductor is λ and the corresponding charge per unit length on the outer conductor is λ (same magnitudes but with opposite signs) and λ > 0. Q R 1 R 2 R 3 Q Find the magnitude of the electric field at the point a distance r 1 from the axis of the inner conductor, where R 1 < r 1 < R 2 . 1. E = λ 2 π ǫ 0 r 1 2. E = λ R 1 3 π ǫ 0 r 1 2 3. E = 0 4. E = λ 2 π ǫ 0 R 1 5. E = λ 3 π ǫ 0 r 1 6. E = λ R 1 4 π ǫ 0 r 1 2 7. None of these. 8. E = λ 2 π ǫ 0 r 1 9. E = 2 λ 3 π ǫ 0 r 1 10. E = λ 2 R 1 4 π ǫ 0 r 1 2 Question 2, chap 24, sect 3. part 2 of 4 10 points The electric field vector points 1. in the negative ˆ r direction. 2. in the positive ˆ r direction. Question 3, chap 24, sect 3. part 3 of 4 10 points Find the magnitude of the electric field at the point a distance r 2 from the axis of the inner conductor, where R 3 < r 2 . 1. E = λ 2 π ǫ 0 r 2 2. E = λ 2 R 1 4 π ǫ 0 r 2 2 3. E = λ 3 π ǫ 0 r 2 4. None of these. 5. E = 2 λ 3 π ǫ 0 r 2 6. E = λ R 1 4 π ǫ 0 r 2 2 7. E = λ 2 π ǫ 0 R 1 8. E = λ R 1 3 π ǫ 0 r 2 2 9. E = 0 10. E = λ 2 π ǫ 0 r 2 Question 4, chap 24, sect 3. part 4 of 4 10 points For a 100 m length of coaxial cable with in- ner radius 1 mm and outer radius 1 . 9 mm, find the capacitance C of the cable. The

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