A 0.2 kg conductor of length 0.8 m carries 2 ampere current to the right in a magnetic field. What is the magnitude and the direction of the magnetic field acting on the conductor if the net force on the rod is zero? (Assume that the rod is hung by two insulating supports.)

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Answer:

The magnetic field is 1.23 T in upward.

Explanation:

Given that,

Mass = 0.2

Length = 0.8 m

Current = 2 A

We need to calculate the magnetic field

If the net force on the rod is zero so the magnetic field is equal to the weight.

Using formula of magnetic force

[tex]mg = BIL[/tex]

[tex]B=\dfrac{mg}{IL}[/tex]

Put the value into the formula

[tex]B=\dfrac{0.2\times9.8}{2\times0.8}[/tex]

[tex]B=1.23\ T[/tex]

For direction, using right hand rule

In right hand rule, Thumb represents the force, forefinger represents the magnetic field and the middle finger represents the current.

So,

The direction of the magnetic field is upward.

Hence, The magnetic field is 1.23 T in upward.

The magnitude and the direction of the magnetic field acting on the conductor if the net force on the rod is zero is 1.225 T and upward force.

Further explanation

A 0.2 kg conductor of length 0.8 m carries 2 ampere current to the right in a magnetic field. What is the magnitude and the direction of the magnetic field acting on the conductor if the net force on the rod is zero? (Assume that the rod is hung by two insulating supports.)

[tex]M = 0.2 kg[/tex]

[tex]L = 0.8 m[/tex]

[tex]g = 9.8[/tex]

[tex]I = 2 A[/tex]

if there is no net force, the magnetic force BIL equals the weight, M g.

Therefore

[tex]B =  \frac{M g}{I L}[/tex]

[tex]B = \frac{0.2*9.8}{2.0*0.8} = 1.225 T[/tex]

By use the right hand rule, the direction of the B field must produce an upward force.

In physics, the right-hand rule is a common mnemonic for understanding orientation of axes in 3-dimensional space. Most of the various left- and right-hand rules arise from fact that three axes of 3-dimensional space have two possible orientations

Learn more

  1. Learn more about conductor https://brainly.com/question/2182726
  2. Learn more about the magnetic field https://brainly.com/question/9431418
  3. Learn more about  the net force https://brainly.com/question/2327705

Answer details

Grade:  9

Subject:  physics

Chapter:  the magnetic field

Keywords: conductor, the magnetic field,   the net force, insulating, current