The figure shows a section of a long coaxial section

The image shows a sectional diagram of a section of a long coaxial cable in which the metal cores have radii R1 = 2 mm, R2 = 3 mm, and the radius of the inner core is r = 1 mm. The currents flowing in the internal and external conductors of the cable are equal to I1 = 6 A and I2 = 2 A, respectively, and are directed in opposite directions. It is necessary to plot the dependence of the magnetic field induction between the metal conductors of the cable per unit of its length.

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Product description:

A section of a section of a long coaxial cable with metal conductors of radii R1 = 2 mm and R2 = 3 mm, and a radius r = 1 mm between them is proposed. Currents I1 = 6 A and I2 = 2 A flow in different directions in these veins.

It is necessary to construct a scale graph of the dependence of the magnetic field induction stored between the metal conductors of the cable per unit of its length.

To solve the problem, you can use the Biot-Savart-Laplace law, which allows you to calculate the magnetic induction at a point located at a distance r from the element of the conductor with current I. To calculate the magnetic induction inside a coaxial cable, you can use the formula for magnetic induction inside a circular conductor with current.

After calculating the magnetic field induction, you should plot the dependence of the induction on the distance between the metal conductors of the cable.

The solution to the problem is described in detail in the problem book and can be done using specialized software or manually using mathematical formulas. If you have questions, you can contact the problem author for further assistance.

The figure shows a section of a section of a long coaxial cable, in which the radii of the metal cores are equal to R1=3 mm and R2=4 mm, respectively, and the conductor radius r=2 mm. The currents flowing through the veins are directed in different directions and are equal to I1=15 A and I2=5 A.

To plot the dependence of the magnetic field induction on the distance to the cable axis, you must use the Biot-Savart-Laplace formula:

B = μ0/4π * (I / r)

where B is the magnetic field induction, μ0 is the magnetic constant, I is the current flowing through the core, r is the distance from the point to the cable axis.

To calculate the magnetic field energy between the metal conductors of a cable per unit length, the formula is used:

Wm = μ0/2π * ((I1 * I2) / (ln(R2/R1)))

where Wm is the magnetic field energy, μ0 is the magnetic constant, I1 and I2 are the currents flowing through the wires, R1 and R2 are the radii of the metal wires of the cable.

Using these formulas, you can calculate the magnetic field induction and the magnetic field energy of the cable.

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