Chapter_26

# Chapter_26 - Direct-current circuits Responsible for...

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Direct-current circuits Responsible for sections 1, 2, 4

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Resistors in series R 1 R 2 R eq R eq = R 1 + R 2 Memorize
Resistors in parallel R eq R 2 R 1 1/R eq = 1/R 1 + 1/R 2 Memorize

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Kirchhoff’s Rules Kirchhoff’s junction rule: The algebraic sum of the currents into any junction is zero. Kirchhoff’s loop rule: The algebraic sum of the potential differences in any loop must equal zero • Memorize
Example b a r = 4 Ω R = 2 r = 5 Ω ξ 1 = 20 V ξ 2 = 14 V ξ 3 = 36 V + + + A) What are the currents in the circuit? B) What is V ab ? C) What is the power supplied by the 36 V battery?

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Cramer’s rule I 1 1 1.25 0 -4.75 = 0 2.5 1 -1 1 -1 5.210 = 1 1.25 9 -24.75 = 0 2.5 21 -1 1 0 mdeterm (cells) mdeterm (cells)
Cramer’s rule I 2 1 1.25 0 -4.75 = 0 2.5 1 -1 1 -1 6.315789 = 1 9 0 -30 = 0 21 1 -1 0 -1 mdeterm (cells) mdeterm (cells)

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Cramer’s rule I 3 1 1.25 0 -4.75 = 0 2.5 1 -1 1 -1 1.10 = 9 1.25 0 -5.25 = 21 2.5 1 0 1 -1 mdeterm (cells) mdeterm (cells)

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RC circuits a R ξ C + Kirchhoff’s loop rule: ξ R dQ/dt Q/C = 0 Solution: Q(t) = C ξ

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Chapter_26 - Direct-current circuits Responsible for...

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