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9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.?
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9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm,...
Given:

Internal dimensions of a coaxial capacitor: a = 1.2 cm, b = 4 cm, and l = 40 cm

Homogeneous material parameters: € = 10-¹¹ F/m, µ = 10-5 H/m, and o = 10-5 S/m

Electric field intensity: E = (10%/p) cos 10 ra, V/m


To find:

(a) J

(b) Total conduction current I through the capacitor

(c) Total displacement current I through the capacitor

(d) Ratio of the amplitude of I to that of displacement current, the quality factor of the capacitor


Solution:

(a) J:

J = σE, where σ= o

J = oE = (10-5)(10%/p) cos 10 ra

J = 3.18 x 10-7 cos 10 ra A/m²


(b) Total conduction current I through the capacitor:

I = ∫∫J•dS

As the capacitor is coaxial, the total conduction current through the capacitor is zero.


(c) Total displacement current I through the capacitor:

I = ε(dV/dt), where ε = €

dV/dt = -10 sin 10 ra V/s

I = €(-10 sin 10 ra)

I = -3.18 x 10-12 sin 10 ra A


(d) Ratio of the amplitude of I to that of displacement current, the quality factor of the capacitor:

The amplitude of I is zero, so the ratio of the amplitude of I to that of displacement current is also zero.

The quality factor of the capacitor is also zero as the total conduction current is zero.


Therefore, the answers are:

(a) J = 3.18 x 10-7 cos 10 ra A/m²

(b) Total conduction current I through the capacitor is zero.

(c) Total displacement current I = -3.18 x 10-12 sin 10 ra A

(d) The ratio of the amplitude of I to that of displacement current is zero, the quality factor of the capacitor is also zero.
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9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.?
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9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.?.
Solutions for 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? defined & explained in the simplest way possible. Besides giving the explanation of 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.?, a detailed solution for 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? has been provided alongside types of 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? theory, EduRev gives you an ample number of questions to practice 9.11 Let the internal dimensions of a coaxial capacitor be a = 1.2 cm, b = 4 cm, and / = 40 cm. The homogeneous material inside the capacitor has the parameters € = 10-¹1 F/m. = 10-5 H/m, and o= 10-5 S/m. If the electric field intensity is E = (10%/p) cos 10 ra, V/m, find (a) J; (b) the total conduction current I, through the capacitor; (c) the total displacement current I through the capacitor; (d) the ratio of the amplitude of 14 to that of I, the quality factor of the capacitor.? tests, examples and also practice CAT tests.
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