Two identical circular turns with a common center are located in mutually perpendicular planes.

| June 19, 2021 | education

Two identical circular turns with a common center are located in mutually perpendicular planes. When the current in the turns is the same, the magnetic induction at the center of the turns is Bо. Find the induction of the magnetic field at the same point when the current flows through only one conductor.

The magnetic induction is found by the formula B = l * F / I.

Since the magnetic inductions in the center of the turns are equal, the currents are also equal. Therefore, the magnetic induction is calculated by the formula B = l * F / I / 2. In the case when the current flows through only one turn, the formula will be B = l * F / I. To find what the magnetic induction at the same point is equal to, we equate the formulas for both cases, \ Bo / B = l * F * I * 2 / I * l * F = 2. Therefore, B = Bo / 2.

Answer: the magnetic induction is equal to Bo / 2.



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