Respuesta :
Part A.
In order for the net magnetic field at the center of the circles to be zero, the individual magnetic fields produced by the wires must cancel each other. So in terms of direction, they must be opposite. The answer is:
The currents direction must be counterclockwise
Part B
We have the relationship:
I₁/D₁ = I₂/D₂
10/24 = I₂/38
I₂ = 15.83 A
In order for the net magnetic field at the center of the circles to be zero, the individual magnetic fields produced by the wires must cancel each other. So in terms of direction, they must be opposite. The answer is:
The currents direction must be counterclockwise
Part B
We have the relationship:
I₁/D₁ = I₂/D₂
10/24 = I₂/38
I₂ = 15.83 A
(a) The currents direction must be counterclockwise.
(b) The magnitude of the current in the outer wire is 15.83 A.
Direction of the current
The direction of the current will flow in such a way that the magnetic field due to the wires combination will cancel out. Thus, the current will flow in opposite or counterclockwise direction.
Magnitude of the current
The magnitude of the current is calculated using the following formulas;
[tex]\frac{I_1}{D_1} = \frac{I_2}{D_2} \\\\I_2 = \frac{I_1 D_2}{D_1} \\\\I_2 = \frac{10 \times 38}{24} \\\\I_2 = 15.83 \ A[/tex]
Thus, the magnitude of the current in the outer wire is 15.83 A.
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