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Lecture_19

# Lecture_19 - RC Circuits Current in an RC circuit I= emf-t...

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RC t e R emf I / = Current in an RC circuit Charge in an RC circuit Q = C emf ( ) 1 e t / RC Voltage in an RC circuit Δ V = emf ( ) 1 e t / RC RC Circuits

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RC t e R emf I / = Current in an RC circuit When time t = RC , the current I drops exactly e times RC is the ‘ time constant’ of an RC circuit. 37 . 0 718 . 2 1 1 / = = = e e RC t The RC Time Constant A rough measurement of how long it takes to reach final equilibrium
Find currents through resistors Loop 1 Loop 2 Loop 3 Loop 4 I 1 I 2 I 3 I 5 I 4 loop 1: 0 1 7 4 4 1 1 1 1 = I R I R I R I r emf loop 2: 0 3 3 2 6 2 2 2 2 = + I R I R emf I r I R loop 3: 0 5 5 3 3 4 4 = I R I R I R nodes: 0 4 3 2 1 = I I I I 0 5 2 3 = + I I I 0 1 5 4 = + I I I Five independent equations and five unknowns Exercise: A Complicated Resistive Circuit

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Chapter 20 Magnetic Force
2 0 ˆ 4 r r v q B × = π μ 2 0 ˆ 4 r r l I B × Δ = Δ π μ The Biot-Savart law for a moving charge The Biot-Savart law for a short piece of wire: How magnetic field affects other charges? Magnetic Field of a Moving Charge

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TV and CRT monitors: Direction of the magnetic force depends on: the direction of B the direction of v of the moving charge the sign of the moving charge B v q F magnetic × = q – charge of the particle v – speed of the particle B – magnetic field m A N m/s C N T = = Magnetic Force on a Moving Charge
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Lecture_19 - RC Circuits Current in an RC circuit I= emf-t...

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