As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 3.20 A and I2 = 4.90 A in the direction indicated. (a) Determine the magnitude in uT and direction in degrees of the magnetic field at a point midway between the wires (d = 10.0 cm). (b) Determine the magnitude in uT and direction in degrees of the magnetic field at point P, located d = 10.0 cm above wire 1

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As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 3.20 A and I2 = 4.90 A in the direction indicated.

(a) Determine the magnitude in uT and direction in degrees of the magnetic field at a point midway between the wires (d = 10.0 cm).

(b) Determine the magnitude in uT and direction in degrees of the magnetic field at point P, located d = 10.0 cm above wire 1.

The diagram represents a simple coordinate system with two points labeled \(I_1\) and \(I_2\) positioned along the x-axis. The x-axis is marked with an arrow pointing to the right, while the y-axis is marked with an arrow pointing upwards. 

- **Point \(I_1\):** Located at the origin on the x-axis, denoted by a purple circle with a cross, representing flow or current. 
- **Point \(I_2\):** Positioned along the x-axis at a distance \(d\) from \(I_1\), also marked with a purple circle and cross.

An additional point, labeled \(P\), lies on the y-axis at a distance \(d\) from the x-axis. This point is connected to the origin by a dashed line parallel to the y-axis.

The dimensions in the diagram, indicated by arrows, specify that both the x and y distances from the origin to points \(I_2\) and \(P\), respectively, are equal to \(d\). The arrangement suggests a focus on the geometry or interactions between these points in a two-dimensional plane.
Transcribed Image Text:The diagram represents a simple coordinate system with two points labeled \(I_1\) and \(I_2\) positioned along the x-axis. The x-axis is marked with an arrow pointing to the right, while the y-axis is marked with an arrow pointing upwards. - **Point \(I_1\):** Located at the origin on the x-axis, denoted by a purple circle with a cross, representing flow or current. - **Point \(I_2\):** Positioned along the x-axis at a distance \(d\) from \(I_1\), also marked with a purple circle and cross. An additional point, labeled \(P\), lies on the y-axis at a distance \(d\) from the x-axis. This point is connected to the origin by a dashed line parallel to the y-axis. The dimensions in the diagram, indicated by arrows, specify that both the x and y distances from the origin to points \(I_2\) and \(P\), respectively, are equal to \(d\). The arrangement suggests a focus on the geometry or interactions between these points in a two-dimensional plane.
Expert Solution
Given

Given:

Current,I1=3.20ACurrent,I2=4.90ADistance,d=10cm=10×10-2mRadius.r=5cm=5×10-2mPermeability of free space,μ0=4π×10-7H/m

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