Rate of Change of Magnetic Field in Square wire loop

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Homework Help Overview

The problem involves a square wire loop situated in a uniform magnetic field, with a current flowing through the loop. The original poster seeks to determine the rate of change of the magnetic field and whether it is increasing or decreasing, given the circuit parameters including a battery and resistor.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the Biot-Savart law and questions how to adapt it for a square loop. They express uncertainty about the relevance of their equations and the changing radius in their calculations.
  • Some participants question the clarity of the problem setup, noting the absence of a visual representation of the circuit.
  • Others suggest reconsidering the application of Faraday's law instead of the Biot-Savart law, prompting a reflection on the implications of a constant magnetic field.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the assumptions made by the original poster. Some guidance has been offered regarding the applicability of relevant laws, but no consensus has been reached on the approach to take.

Contextual Notes

Participants note the lack of a visual aid to clarify the circuit configuration, which may affect the understanding of the problem. There is also mention of the original poster's uncertainty about the equations provided and their relevance to the specific scenario.

CDreyer23
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Homework Statement



The circuit shown is in a uniform magnetic field that is into the page. The total current in the circuit is 0.20 A, flowing counterclockwise. At what rate is the magnitude of the magnetic field changing? Is it increasing or decreasing?
Square wire loop with base and height of 12 cm
One 4 V battery and one 10 Ω resistor

Homework Equations

(first ever post so sorry for the poor formatting)[/B]
dB = (μ0 * (I*ds)x(r))/(4πr2)
Bloop = (μ0*I)/(2r)

The Attempt at a Solution


Given the direction of the current and using the right hand rule, the magnetic field produced by the current opposes the uniform one into the page, so it's magnitude is decreasing. However, the given equations don't fit with a square loop. I initially tried the second equation, but since r is changing it didn't work. I'm assuming the first equation is the one that's needed since we're looking for the change in magnetic field but I can't seem to find what ds should be.

Thanks for the help!
 
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There is no circuit shown. Can you post a figure?
 
kuruman said:
There is no circuit shown. Can you post a figure?
I'm not sure how to add a photo or a figure since there is no picture online it's on my professor's sample final exam. It is a square loop with side length of 12 cm. There is a 4V battery on the bottom and a 10 Ω resistor connected in series at the top. Current is moving counterclockwise, hope this is enough info to help
 
Sometimes people post pictures that they take with their phones. If you do that, be sure everything is legible. It is not clear from your description why there should be a changing magnetic field.
 
AK95wyC.png

The answer key says the correct answer is C
 

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Great, thanks. Your posted equations are not relevant to this problem. This question has to do with Faraday's law not Biot-Savart. First, ask yourself what the current in the circuit would be if the magnetic field into the page were constant or even zero.
 

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