What is the magnitude of the magnetic field?

In summary, the magnitude of the magnetic field can be calculated by using the formula B = torque/(n*i*A*sin(theta)), where n is the number of turns, i is the current, A is the area of the coil, and theta is the angle between the normal to the coil and the magnetic field. When applying this formula to the given scenario, an angle of 18 degrees and a torque of 0.07 Nm, the resulting magnetic field is in units of T.
  • #1
mba444
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0
What is the magnitude of the magnetic field??

Homework Statement



A small rectangular coil composed of 37 turns
of wire has an area of 36 cm2 and carries a
current of 0.8 A. When the plane of the coil
makes an angle of 18◦ with a uniform magnetic
field, the torque on the coil is 0.07 Nm.
What is the magnitude of the magnetic
field? Answer in units of T.

Homework Equations



Torque = n*i*A*B*sin(theta)
B= torque/(n*i*A*sin(theta))
n is the number of turns

The Attempt at a Solution



what i did is that i plugged all the given values .. but i keep get the wrong answer .. i don't know where is my mistake

thanx in advance
 
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  • #2


Did you convert the area to m2?
 
  • #3


theta is the angle made between the normal to the coil to the magnetic field. Think about it, if the coil is parallel to the magnetic field (theta = 0), the torque is maximum (the forces on the wires are directly opposite), as opposed to if you used sin 0 = 0, that is torque = 0. So you have to use sin 72 or cos 18 in the equation.

I don't even know if that's the problem, but I hope it helps.
 

FAQ: What is the magnitude of the magnetic field?

What is the magnitude of the magnetic field?

The magnitude of the magnetic field refers to the strength or intensity of the magnetic field at a specific point in space.

How is the magnitude of the magnetic field measured?

The magnitude of the magnetic field is typically measured using a device called a magnetometer, which can detect the strength of the magnetic field at a certain location.

What units are used to measure the magnitude of the magnetic field?

The magnitude of the magnetic field is measured in units of teslas (T) or gauss (G), with 1 T equal to 10,000 G.

What factors affect the magnitude of the magnetic field?

The magnitude of the magnetic field can be affected by the amount of current flowing through a wire, the distance from the source of the magnetic field, and the orientation of the magnetic field relative to the measuring device.

Why is the magnitude of the magnetic field important?

The magnitude of the magnetic field is important in many areas of science and technology, including electricity and magnetism, geology, and medical imaging. It also plays a crucial role in understanding the behavior of particles in space and the Earth's magnetic field.

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