A solid conductor of circular cross section with a radius of 5 mm has a conductivity (σ) that varies with radius. The conductor is 20 m long, and there is a potential difference of 0.1 V between its two ends. Within the conductor, H̀ = 10⁵r² ǿ A/m. Find σ as a function of r.
A solid conductor of circular cross section with a radius of 5 mm has a conductivity...
5-15 Exercises: 5.16. A very long, straight conductor located along the z axis has a circular cross section of radius 10 cm. The conductor carries 100 A in the z direction which is uniformly distributed over its cross section. Find the magnetic field intensity (a) inside the conductor and (b) outside the conductor. Sketch the magnetic field intensity as a function of the distance from the center of the conductor. 5-15 Exercises: 5.18. A fine wire wound in the form of...
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor. (b) Determine the vector magnetic potential (A) both inside and outside the conductor from the relationship B V x A
An infinitely long, straight conductor with a circular cross-section of radius b carries a steady current I. (a) Determine the magnetic flux density (B) both inside and outside the conductor....
[10]23 The figure shows a cross section of a long solid cylindrical conductor whose radius is 253 mm. The conductor carries a uniform current of 364 A. Using Ampere's Law, determine the magnetic field at a distance of 7.04 mm from the center Answer: Direction (Magnitude) 36,4 A
(ii) [10 marks] A bare conductor has the following specifications: • Circular cross section, radius of 10 mm. • Material is copper, electrical resistivity at 20°C: p=1.69x10-6 m . Temperature coefficient of resistivity is a = 0.0043 °C-? . Maximum allowable temperature is Os = 100°C • Ambient temperature: 0o = 25°C • Increase in effective AC resistance due to skin proximity effects = 5% • Heat dissipation rates: hconvection = 7.66 W/m2°C hradiation = 7.93 W/m2/°C. Determine the thermal...
The power loading on a uniform shaft of 20 mm diameter solid circular cross section is shown in Figure 2. The speed of the shaft is 1200 rpm. The shear modulus (G) of steel may be taken as 80 GPa C (a) Sketch the torque diagram; (b) Determine the maximum shear stress in the shaft (c) Calculate the angle of twist between the two ends of the shaft 1.2 m 1.8 m 6 kW 11 kW A Тв TA Tc...
Assume that the air-core toroid has a circular cross-section of radius 4 mm. Find the inductance of the toroid if there are 3500 turns and the mean radius is r = 40 mm. If the flux density is 0.6 T, determine the flux from the circular cross-section of radius 4 mm. 4. (15 Marks)
A cylindrical conductor of area A and length L has a conductivity (σ-1/R) that varies as ơ -now Find an algebraic relationship between the current density (VA), ơo, L and A if the conductor is connected to V volts DC
Consider a long cylinder of circular cross-section with radius R, as shown in Fig. 3. The cross section is subjected to torque T on its ends. As you can see from the special case of a = b in the solution for the warping function of an elliptical cross-section under torsion, the warping function or out-of-plane displacement of a circular cross-section vanishes.(a) What is the maximum shear stress in the cross-section and where does it occur?(b) What is the shear stress, σθz, as a function of radius, r? (Hint:...
Consider a wire of a circular cross-section with a radius of R = 3.03 mm. The magnitude of the current density is modeled as ) = cr= 7.75 x 100 A/m . What is the current in A) through the inner section of the wire from the center to r = 0.5R? A
A cylindrical conductor of a circular cross section (radius = a) carries a time-invariant current I(>0) directed out of the page. The line integral of the magnetic flux density vector B, along a closed circular contour C positioned inside the conductor (the contour radius r is smaller than the conductor radius a) is conductor