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U10 + 50 2 r₁ $1 U2 V2 200 (2 12 re 2: Two resistors from the circuit, each with a voltage potential difference across them, yielding cur S S₁ and f₂. (d) Use Ohm's law for the two resistors (Figure 2) to write two linear equations that relate f2, S1, U₁, U₂ in terms of r₁ and ₂.

U10 + 50 2 r₁ $1 U2 V2 200 (2 12 re 2: Two resistors from the circuit, each with a voltage potential difference across them, yielding cur S S₁ and f₂. (d) Use Ohm's law for the two resistors (Figure 2) to write two linear equations that relate f2, S1, U₁, U₂ in terms of r₁ and ₂.

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter7: Parallel Circuits
Section: Chapter Questions
Problem 3PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....
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U₁0 + 50 Ω m r₁ $1 U2 200 £2 m 12 12 Figure 2: Two resistors from the circuit, each with a voltage potential difference across them, yielding current flows s₁ and f₂. (d) Use Ohm's law for the two resistors (Figure 2) to write two linear equations that relate f2, S₁, U₁, and V₂ in terms of ₁ and ⁄₂.
Transcribed Image Text:U₁0 + 50 Ω m r₁ $1 U2 200 £2 m 12 12 Figure 2: Two resistors from the circuit, each with a voltage potential difference across them, yielding current flows s₁ and f₂. (d) Use Ohm's law for the two resistors (Figure 2) to write two linear equations that relate f2, S₁, U₁, and V₂ in terms of ₁ and ⁄₂.
(e) Rewrite your system of equations as a single matrix equation of the form B S V = 0. Keep in mind that ƒ, s, v € R². Give an expression for the matrix B. What are the dimensions of matrix B? (f) Are the columns of B linearly independent? Justify.
Transcribed Image Text:(e) Rewrite your system of equations as a single matrix equation of the form B S V = 0. Keep in mind that ƒ, s, v € R². Give an expression for the matrix B. What are the dimensions of matrix B? (f) Are the columns of B linearly independent? Justify.
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