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2-07-08Lec10 - Lecture 10-1 Capacitor Examples C 2C C = C1...

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Lecture 10 Lecture 10 - 1 Capacitor Examples 1 0 2 0 1 2 0 1 2 / 2 / 2 2 A A C C C d d A d κ ε κ ε ε κ κ = + = + + = 2 C C C C /2 C C C C C ? C ?=2/3 1 2 0 0 0 1 1 1 / 4 3 / 4 1 3 1 4 4 d d C C C A A d A ε κ ε ε κ = + = + = +
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Lecture 10 Lecture 10 - 2 Electric Current Current = charges in motion q I t Δ Δ Magnitude Units: [I] = C/s = A (ampere) Current is a scalar, signed quantity, whose sign corresponds to the direction of motion of net positive charges by convention J = current density (vector) in A/m² A I J d A = combarrowextenderarrowrightnosp combarrowextenderarrowrightnosp i rate at which net positive charges move across a cross sectional surface 0 lim t dq dt Δ → =
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Lecture 10 Lecture 10 - 3 Microscopic View of Electric Current in Conductor All charges move with some velocity v e random motion with high speeds (O(10 6 )m/s) but with a drift in a certain direction on average if E is present Drift velocity v d is orders of magnitudes less than the actual velocity of charges. A Why random motion?
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