What is the potential difference between points a and b?

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Homework Help Overview

The problem involves a 1000-turn loop of wire connected to a resistor, with a magnetic field that varies over time. The magnetic field is described by the equation B=gt, where g is a constant. The objective is to determine the potential difference between two points in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the magnetic field and its time derivative, questioning how to determine B(t) and dB/dt based on the given information.

Discussion Status

Some participants have provided insights on calculating dB/dt from the given equation, while others express uncertainty about how to apply the information to find B(t). The conversation reflects a mix of attempts to clarify the problem and explore relevant equations without reaching a consensus.

Contextual Notes

Participants note a lack of clarity regarding the time variable t and its role in the equations, as well as the implications of the problem's setup on their calculations.

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Homework Statement


A 1000-turn loop (radius = 0.037m) of wire is connected to a (20 Ohm) resistor as shown in the figure. A magnetic field is directed perpendicular to the plane of the loop. The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.25 T/s. Neglect the resistance of the wire.
http://capa-new.colorado.edu/msuphysicslib/Graphics/Gtype64/prob03a_cj22.26.gif

What is the magnitude of the potential difference between points a and b?



Homework Equations



equation is E = -NA ((dB(t))/dt) but how do u find what t and what is B(t)?

The Attempt at a Solution


cant attempt cause i don't know what t and B(t) are

PLEASE HELP!
 
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You were give B=gt. You have the value of 'g'. I think you can easily find dB/dt.
 
ok well i don't remember how to find B with what is given to me. sorry. if you can just give me some equations i can do the work. not asking for u to do the work for me
 
shimizua said:
ok well i don't remember how to find B with what is given to me. sorry. if you can just give me some equations i can do the work. not asking for u to do the work for me



shimizua said:
The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.25 T/s.


B=gt...dB/dt :confused:

B=0.25t...dB/dt = ?


B=t2,dB/dt = 2t
 
Last edited:

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