46. Apply Math Models The two resistors shown in the circuit are referred to as in parallel. The total resistance of the resistors is given by the 1 formula + R₂ = R₁ R₁ R₂ R₁ = 4 + 2i ohms R₂ = 1 + / ohms www a. Find the total resistance. Write your answer in the form a + bi. b. Show that the total resistance is equivalent to the expression R₁ R2 R₁ + R₂ anothuice aldizzoq eri to rose soup2 Cm64 47. Us nu ca us th 1 1 1 T 1 1 1 I 1 1 1 c. Change the value of R₂ so that the total resistance is a real number. Explain how you chose the value.
46. Apply Math Models The two resistors shown in the circuit are referred to as in parallel. The total resistance of the resistors is given by the 1 formula + R₂ = R₁ R₁ R₂ R₁ = 4 + 2i ohms R₂ = 1 + / ohms www a. Find the total resistance. Write your answer in the form a + bi. b. Show that the total resistance is equivalent to the expression R₁ R2 R₁ + R₂ anothuice aldizzoq eri to rose soup2 Cm64 47. Us nu ca us th 1 1 1 T 1 1 1 I 1 1 1 c. Change the value of R₂ so that the total resistance is a real number. Explain how you chose the value.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
46 please
![# Practice & Problem Solving: Apply
## Problem 46
**Apply Math Models:** The two resistors shown in the circuit are referred to as in parallel. The total resistance of the resistors is given by the formula:
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}
\]
**Diagram Explanation:**
A diagram is provided showing two parallel resistors labeled as \( R_1 \) and \( R_2 \). The values are given as:
- \( R_1 = 4 + 2i \) ohms
- \( R_2 = 1 + i \) ohms
**Tasks:**
**a.** Find the total resistance. Write your answer in the form \( a + bi \).
**b.** Show that the total resistance is equivalent to the expression:
\[
\frac{R_1 R_2}{R_1 + R_2}
\]
**c.** Change the value of \( R_2 \) so that the total resistance is a real number. Explain how you chose the value.
---
On the right side of the page, there is another problem labeled 47, which addresses using patterns and structure to represent the number \( a + bi \) on a coordinate plane. This involves a grid diagram, with an example point marked, but since this is a separate problem, it does not bear directly on the resistor question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f770cdb-05dc-4ce8-9f54-6d87088669bc%2F0e49f9d2-1410-48f0-b647-1e5ea2f6e543%2Fetegb8s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Practice & Problem Solving: Apply
## Problem 46
**Apply Math Models:** The two resistors shown in the circuit are referred to as in parallel. The total resistance of the resistors is given by the formula:
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}
\]
**Diagram Explanation:**
A diagram is provided showing two parallel resistors labeled as \( R_1 \) and \( R_2 \). The values are given as:
- \( R_1 = 4 + 2i \) ohms
- \( R_2 = 1 + i \) ohms
**Tasks:**
**a.** Find the total resistance. Write your answer in the form \( a + bi \).
**b.** Show that the total resistance is equivalent to the expression:
\[
\frac{R_1 R_2}{R_1 + R_2}
\]
**c.** Change the value of \( R_2 \) so that the total resistance is a real number. Explain how you chose the value.
---
On the right side of the page, there is another problem labeled 47, which addresses using patterns and structure to represent the number \( a + bi \) on a coordinate plane. This involves a grid diagram, with an example point marked, but since this is a separate problem, it does not bear directly on the resistor question.
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