Please type instead of hand writting ### Understanding Magnetic Field Calculation Using Biot-Savart LawIn this educational content, we delve into the calculation of the magnetic field \(\vec{B}\) produced by a current-carrying wire segment using the Biot-Savart law.#### Problem DescriptionThe figure illustrates a wire segment of length \(\Delta s = 3.5 \text{ cm}\), centered at the origin and carrying a current \(i = 5.0 \text{ A}\) in the positive y direction, which is a part of some complete circuit. To determine the magnitude of the magnetic field \(\vec{B}\) produced by this segment at a point that is several meters away from the origin, we will use the Biot-Savart law. The law is represented by:\[B = \left( \frac{\mu_0}{4\pi} \right) \frac{i \Delta s (\sin \theta)}{r^2}\]The parameters \(r\) and \(\theta\) remain essentially constant over the segment, and therefore can be used to determine \(\vec{B}\) at different coordinates. Below, \(\vec{B}\) is calculated in unit-vector notation at various coordinates specified as (x, y, z).#### Coordinates and CalculationsThe points of interest for calculating \(\vec{B}\) are:- (a) \( (0, 0, 6.2 \text{ m}) \)- (b) \( (0, 7.9 \text{ m}, 0) \)- (c) \( (9.6 \text{ m}, 8.6 \text{ m}, 0) \)- (d) \( (-5.1 \text{ m}, -5.6 \text{ m}, 0) \)These points will be used to find the magnetic field in unit-vector notation.#### Diagram Explanation- The diagram shows a wire segment aligned along the y-axis with the current flowing upwards.- \(\Delta s\) represents the length of the segment.- Coordinate axes (x, y, z) are illustrated to orient the wire segment in a 3D space.- Points are distributed strategically around the wire segment for \(\vec{B}\) calculation.#### Calculation InterfaceA user interface is provided to input values at different coordinates and units. Below

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The figure shows a wire segment of length As = 3.5 cm, centered at the origin, carrying current i= 5.0 A in the positive y direction (as part of some complete circuit). To calculate the magnitude of the magnetic field B produced by the segment at a point several meters from the origin, we can use the Biot-Savart law as B = (H/4n)i As (sin 0)/r2. This is because r and 0 are essentially constant over the segment. Calculate B (in unit-vector notation) at the (x, y, z) coordinates (a) (0, 0, 6.2 m), (b) (0, 7.9 m, 0), (c) (9.6 m, 8.6 m, 0), and (d) (-5.1 m,-5.6 m,0). (a) (0,0, 6.2 m) = (Number i Units (b) |B| (0,7.9 m, 0) = Number i Units Units (c) B (9.6 m, 8.6 m, 0) = (Number i