# Kirchhoff's Rules and RC Circuits

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## Kirchhoff's Rules and RC Circuits

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Todqy we discussed Kirchhoff's two rules for closed circuits, what RC circuits are, and how RC circuits work (Cutnell 20.10 - 20.13)

Lecture number:
10
Pages:
5
Type:
Lecture Note
School:
The University of Vermont
Course:
Phys 012 - Elementary Physics
Edition:
1
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Unformatted text preview:

Lecture 10 Outline of Last Lecture II. Parallel Resistors a. ΔV = ΔV1 = ΔV2 b. I = I1 = I2 c. V = IR d. ΔV/Req = ΔV1/R1 + ΔV2/R2 e. 1/Req = 1/R1 + 1/R2 f. In general, for parallel resistors, 1/Req = 1/R1 + 1/R2 + … + 1/Rn. III. Problem: For the circuit below, find a single equivalent resistance. a. The 4 Ω and 6 Ω resistors are in series so Req,4,6 = 4 Ω + 6 Ω = 10 Ω b. The 9 Ω, 8 Ω, and “10 Ω” resistors are parallel, so Req, 9, 8, 10 = 1/8 Ω + 1/9 Ω + 1/10 Ω = 2.98 Ω c. The 3 Ω and “2.98 Ω” resistors are in series, so Req, 3, 2.98 = 3 Ω + 2.98 Ω = 5.98 Ω PHYS 012 1st Edition d. The 20 Ω and the “5.98 Ω” resistors are parallel, so Req = 20 Ω + 5.98 Ω = 25.98 Ω IV. Parallel Capacitors a. ΔV = ΔV1 + ΔV2 b. q = q1 = q2 c. q = CV d. ΔVCeq = ΔV1C1 + ΔV2C2 e. Ceq = C1 + C2 f. In general, for parallel capacitors, Ceq = C1 + C2 + … + Cn. V. Capacitors in Series a. q = q1 = q2 b. ΔV = ΔV1 + ΔV2 c. V = q/C d. q/Ceq = q/C1 + q/C2 e. 1/Ceq = 1/C1 + 1/C2 f. In general, for capacitors in series, 1/Ceq = 1/C1 + 1/C2 + … + 1/Cn. Outline of Current Lecture VI. Kirchhoff’s Rules

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