Question 3 Figure shows the cross-sectional view of a coaxial cable of length 1. The radius a = 1mm, b = 5mm. The cable is carrying I= 100 mA. Both the insulating medium and the conductor are characterised by μμo H/m (i) Derive expressions for internal and external inductances per unit length of the cable and then calculate the values. (ii) Redesign the cable if the external inductance must be limited to 100nH/m, while conductor still needs to carry 100 mA. What is the limitation for the redesigned cable? ⓇI b

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(iii) If the insulating material is imperfect with conductivity 5.1x 10-9 S/m and relative
permittivity 2, calculate the leakage resistance and capacitance of the redesigned cable. Ans:
4.45pF/m, 780MN
(iv)Draw a circuit model of the cable showing all associated resistances, inductances and
capacitance.
Transcribed Image Text:(iii) If the insulating material is imperfect with conductivity 5.1x 10-9 S/m and relative permittivity 2, calculate the leakage resistance and capacitance of the redesigned cable. Ans: 4.45pF/m, 780MN (iv)Draw a circuit model of the cable showing all associated resistances, inductances and capacitance.
Question 3
Figure shows the cross-sectional view of a coaxial cable of length I. The radius a
= Imm, b= 5mm. The cable is carrying I= 100 mA. Both the insulating medium
and the conductor are characterised by HFHOH/m
(i) Derive expressions for internal and external inductances per unit length of the
cable and then calculate the values.
(ii) Redesign the cable if the external inductance must be limited to 100nH/m,
while conductor still needs to carry 100 mA. What is the limitation for the
redesigned cable?
Transcribed Image Text:Question 3 Figure shows the cross-sectional view of a coaxial cable of length I. The radius a = Imm, b= 5mm. The cable is carrying I= 100 mA. Both the insulating medium and the conductor are characterised by HFHOH/m (i) Derive expressions for internal and external inductances per unit length of the cable and then calculate the values. (ii) Redesign the cable if the external inductance must be limited to 100nH/m, while conductor still needs to carry 100 mA. What is the limitation for the redesigned cable?
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