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lecture4

# lecture4 - Satisfied around all loops of a circuit – A...

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1 Kirchhoff’s Laws Reminder: there will be a Quiz on Chapter 1 next Monday (Jan.23) Review Electric Circuit Voltage Current Ohm’s Law + _ V s > i R + _ v A more complex circuit … Objective: determine voltage and current in a circuit Kirchhoff’s Voltage Law Kirchhoff’s Current Law R 1 R 2 R 3 v 1 v 2 a b c d

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2 Preliminaries Branch Node Loop Voltage drop / rise The following statements are true and equivalent There is a 5 V voltage drop from a to b There is a 5 V voltage rise from b to a There is a -5 V voltage rise from a to b There is a -5 V voltage drop from b to a • The first expression is the most common • In most cases, we will be concerned with voltage drops a b + 5 V - Kirchhoof’s Voltage Law (KVL) The algebraic sum of all voltage drops around any closed loop is zero
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Unformatted text preview: Satisfied around all loops of a circuit – A statement about energy conservation th voltage loop in the voltages of number : : 1 m v M v m M m m = ∑ = 3 Kirchhoof’s Current Law (KCL) “ The algebraic sum of currents entering a node is zero ” – Satisfied at all nodes of a circuit – A statement about charge conservation – Applies to larger, closed region of a circuit (“supernodes”) node the entering current th : node the to connected branches of number : 1 n i N i n N n n = ∑ = Kirchhoff’s Current Law Supernode i i i i 2 10 9 6 . . . . . . . . . a b c d e f g h i i 1 i i i i i i i 3 4 5 7 8 11 12 Application of Kirchhoff’s Laws +-+ _ . . . . 2 Ω 8Ω 4Ω 5 V 3 V a b c d...
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lecture4 - Satisfied around all loops of a circuit – A...

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