What is the Magnetic Field Needed to Tilt a Rectangular Loop?

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Homework Help Overview

The problem involves a rectangular loop with a specified mass per length, pivoted on a frictionless axis, and carrying a current. The objective is to determine the magnetic field required to tilt the loop to a specific angle with respect to the yz plane.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of torque equations and the role of the loop's mass in the context of gravitational force and magnetic torque. There are questions about how to incorporate the mass into the calculations and the implications of the right-hand rule for determining the direction of the magnetic field.

Discussion Status

The discussion is ongoing, with participants exploring various aspects of the problem. Some have noted the importance of gravitational force in relation to the magnetic torque, while others are seeking clarification on how to effectively integrate the mass of the loop into their reasoning.

Contextual Notes

Participants have pointed out the lack of complete information regarding the setup and the specific role of the mass in the equilibrium of the loop. There is a repeated emphasis on the need for further clarification on how to approach the problem effectively.

ervillalobos
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Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!
 
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side ab is on the z-axis
 
NEED SERIOUS HELP!
ervillalobos said:

Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!
 
side ab lies on the z axis
 
how can i use mass in this problem?
 
ervillalobos said:

Homework Statement


The rectangular loop has a mass of .15 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.2 A in the direction shown. Find the maggnitude and direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until it's plane makes an angle of 30 degrees with the yz plane.


Homework Equations



torque=IBAsin(phi)
I=current
B= Magnitude
30 degrees
A= area (8cm*6cm)=48cm^2 => .48m^2

The Attempt at a Solution



using the right hand rule i know the direction is in the + y-direction.
with the equation i have, i don't how to fit the mass of the loop. so then i was trying to find the force but lack enough information from the problem. please help!

The mass of the loop comes in as part of the gravitational force acting on the loop. While the magnetic field is responsible for the torque in one direction, gravity provides an opposing torque that keeps the loop in equilibrium.
 

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