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LECTURE # 14

LECTURE # 14. CONDUCTOR PROPERTIES UNDER STATIC CONDITIONS. OBJECTIVES. To understand what happens to excess free charge in a conductor when exposed to external electric field. To list down various conductor properties that under static conditions. MODEL.

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LECTURE # 14

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  1. LECTURE # 14 CONDUCTOR PROPERTIES UNDER STATIC CONDITIONS

  2. OBJECTIVES • To understand what happens to excess free charge in a conductor when exposed to external electric field. • To list down various conductor properties that under static conditions.

  3. MODEL Point form of the continuity of current equation E applied Point form of Ohm’s law P dQ Point form of Gauss’s law Conductor Simple partial differential equation

  4. SOLUTION TO PARTIAL DIFFERENTIAL EQUATION At point P Charge density at t = 0 rv rv0 Initial value at P Relaxation time constant For conductor t

  5. ANALYSIS +rs + + + + + + + + E induce - - - - - - - - - - rs E applied E net = E applied – E induce 0 Equipotential body

  6. CONDUCTOR PROPERTIES UNDER STATIC CONDITION • The net rv = 0 inside the conductor. • The net E = 0 inside the conductor. • The conductor is an equipotential body. • Charge density rs, if present, is found only on the surface.

  7. EXAMPLE 14.1 • Find the magnitude of the electric field intensity in a sample of silver having s = 6.17 x 107 mho/m and me = 0.0056 m2/V.s if (i) the drift velocity is 1 mm/s; (ii) the current density is 107 A/m2; (iii) the sample is a cube, 3mm on a side, carrying a total current of 80 A; (iv) the sample is a cube, 3 mm on a side, having a potential difference of 0.5 mV between opposite faces.

  8. EXAMPLE 14.2 • An aluminum conductor is 1000 ft long and has a circular cross section with a diameter of 0.8 in. If there is a dc voltage of 1.2 V between the ends, find: (i) the current density; (ii) the current; (iii) the power dissipated, using your vast knowledge of circuit theory.

  9. THANK YOU QUESTIONS AND ANSWERS

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