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If the angle between the current element and the line joining the current elemen

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Question: If the angle between the current element and the line joining the current element to the point of interest is 90 degrees, what is the contribution of that current element to the magnetic field?

Options:

  1. Maximum
  2. Minimum
  3. Zero
  4. Undefined

Correct Answer: Zero

Solution: 

If the angle is 90 degrees, the sine of the angle is zero, resulting in zero contribution to the magnetic field from that current element.

If the angle between the current element and the line joining the current elemen

Practice Questions

Q1
If the angle between the current element and the line joining the current element to the point of interest is 90 degrees, what is the contribution of that current element to the magnetic field?
  1. Maximum
  2. Minimum
  3. Zero
  4. Undefined

Questions & Step-by-Step Solutions

If the angle between the current element and the line joining the current element to the point of interest is 90 degrees, what is the contribution of that current element to the magnetic field?
  • Step 1: Understand that we are looking at a current element, which is a small segment of wire carrying electric current.
  • Step 2: Identify the point of interest where we want to find the magnetic field created by this current element.
  • Step 3: Recognize that the angle between the current element and the line to the point of interest is given as 90 degrees.
  • Step 4: Recall that in physics, the contribution of a current element to the magnetic field depends on the sine of the angle between the current direction and the line to the point of interest.
  • Step 5: Calculate the sine of 90 degrees, which is equal to 1.
  • Step 6: However, since the angle is 90 degrees, the contribution to the magnetic field is actually zero because the magnetic field is perpendicular to the line joining the current element to the point of interest.
  • Step 7: Conclude that if the angle is 90 degrees, the contribution of that current element to the magnetic field is zero.
  • Magnetic Field Contribution – The contribution of a current element to the magnetic field is determined by the angle between the current element and the line to the point of interest, specifically using the sine of that angle.
  • Sine Function in Physics – Understanding that the sine of 90 degrees is 1, but in this case, the angle is between the current element and the line to the point of interest, leading to a zero contribution.
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