Analysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic field during an MR scan is given by: v(l) = 0.2504 + 0.1661³ – 0.500² and the voltage at time t = 0 is 0. 1. Formulate the mathematical model for the voltage rate vr(t) developed at the loops during scanning. 2. Plot/Sketch vr(t) as a function of time t E [-4 : 4]. 3. Find the roots of vr(t) analytically.
Analysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic field during an MR scan is given by: v(l) = 0.2504 + 0.1661³ – 0.500² and the voltage at time t = 0 is 0. 1. Formulate the mathematical model for the voltage rate vr(t) developed at the loops during scanning. 2. Plot/Sketch vr(t) as a function of time t E [-4 : 4]. 3. Find the roots of vr(t) analytically.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Analysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic
field during an MR scan is given by:
v(l) = 0.250l4 + 0.166(³ – 0.500r²
and the voltage at time t = 0 is 0.
1. Formulate the mathematical model for the voltage rate vr(t) developed at the loops during
scanning.
2. Plot/Sketch vr(t) as a function of time t E [-4 : 4].
3. Find the roots of vr(t) analytically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd33a302c-5a87-4ac3-9fd5-588f60b73fc9%2Ff9af8a61-e096-4556-989d-c8b293a630b6%2Fe7iuj69_processed.png&w=3840&q=75)
Transcribed Image Text:Analysis 2: The voltage potential, v(t), builds up on the loops, based on the orientation of the magnetic
field during an MR scan is given by:
v(l) = 0.250l4 + 0.166(³ – 0.500r²
and the voltage at time t = 0 is 0.
1. Formulate the mathematical model for the voltage rate vr(t) developed at the loops during
scanning.
2. Plot/Sketch vr(t) as a function of time t E [-4 : 4].
3. Find the roots of vr(t) analytically.
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