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Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?

Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?
Transcribed Image Text:Problem Statement: Consider a large solenoid with 712.3 loops/m that is oriented so that the central axis of the solenoid points along the x-axis. Additionally, you know that the conventional current running through the solenoid as a function of time: i(t) = cot², (1) where co=0.7A/s². You hold a small 5-cm-radius loop inside the solenoid so that its normal vector is given by n = (0.94) î+ (0.32) ĵ. (a) Qualitatively, draw a graph of the magnetic flux passing trough the small loop versus time. (b) What will be the absolute values of the EMF induced in the small loop at 1.3s?
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