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Moving Charges and Magnetism

  1. Two identical long conducting wires AOB and COD are placed at right angle to each other, with one above other such that ‘O’ is their common point for the two. The wires carry I1 and I2 currents respectively. Point ‘P’ is lying at distance ‘d’ from ‘O’ along a direction perpendicular to the plane containing the wires. The magnetic field at the point ‘P’ will be :
    1. μ0
      I1
      2πdI2
    2. μ0
      (I1 + I2)
      2πd
    3. μ0
      (I1² - I2²)
      2πd
    4. μ0
      (I1² - I2²)1/2
      2πd
Correct Option: D

Net magnetic field, B = √B1² + √B2²

=
μ0I1
² +
μ0I2
²
2πd2πd

∵ B1 =
μ0I1
And B2 =
μ0I2
2πd2πd

=
μ0
I1² + I2²
2πd



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