Concept explainers
- Beginning with the definition, of the scalar magnetic potential. H = ∇Ă—V, and using Eq. (25), show that in a region having permanent magnetization M and zero current a Poisson equation for magnetic potential can be developed:
where Pm = μ0 V. M is an equivalent magnetic charge density. What happens when M is uniform? (b) Using the definition of the
where Jeq = V x M in analogy to Eq. (57) in Chapter 7.
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Engineering Electromagnetics
- Electric fields and magnetic fields are... O parallel perpendicular not related lineararrow_forwardQ2) In your own words, explain the main differences between the electric potential and the scalar magnetic potential. UMA anatio notantioLot Darrow_forwardA wire segment 1.2 m long carries a current I= 3.5 A and is oriented as shown in the figure. A uniform magnetic field of magnitude 0.50 T pointing toward the -x direction is present as shown. The +z-axis points directly into the page. What is the magnetic force vector on the wire segment? 40arrow_forward
- Three long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an equilateral triangle (L = 8.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire B? Give your answer in uT. B Her birinden 8,0 A akım geçen üç uzun ve birbirine paralel düz tel bir kenarı L-8,0 cm olan bir eşkenar üçgenin köşelerinden geçmektedirler. B ve C tellerinden geçen akım sayfa düzleminden bize doğru, A telinden geçen akım sayfa düzleminden içeri doğrudur. B telinin üstünde manyetik alanın x ve y bileşenleri µT cinsinden nedir? Yanıtınızarrow_forward5. Considering Faraday's law and the definition of vector magnetic potential A the line integral of E+ around a closed path is ốt A) -VV Lil » B) VV C) +VV D) 0 Correct Answer: Darrow_forwardWhen the current in a long, straight, air-filled solenoid is changing at the rate of 2000 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and uniform cross- sectional area 25.0 mm2 . Assume that the magnetic field is uniform inside the solenoid and zero outside, so the result L =M0AN2/l applies. What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?arrow_forward
- Three long, parallel, straight wires each carrying a 5.0 A current pass through the vertices of an equilateral triangle (L= 5.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire A? Give your answer in µT. B Her birinden 5,0 A akım geçen üç uzun ve birbirine paralel düz tel bir kenarı L=5,0 cm olan bir eşkenar üçgenin köşelerinden geçmektedirler. B ve C tellerinden geçen akım sayfa düzleminden bize doğru, A telinden geçen akım sayfa düzleminden içeri doğrudur. A telinin üstünde manyetik alanın x ve y bileşenleri µT cinsinden nedir? Larrow_forwardQ4. Consider the below diagram. Derive the magnetic vector potential for loop A and then Find the Mutual inductance (M AB) between the wire. lo mAmp 5 cm toop A Foop Barrow_forwardIntegrating over the current gives the total magnetic field. An integration variable s is defined in the diagram below. We want to integrate over the infinitely long straight wire to determine the magnetic field at point P which is a distance R from the wire. Which statement below is true? ds P---- so B = [∞ H,I R²+s² ds s R and sin ø = r = 2TR ds R R so B = J_∞ 4n s²(R²+s²)/² r = s and sin ø R²+s² 2nR O HoI so B = J_∞ 4n (R²+s²)°/² ds s HoI r = VR? + s² and sin ø R²+s? 2TR R ds HI R and sin ø = So B R²+s² Lo AT R(R²+s²)'/² 2TR O HoI so B = J_∞ 4n (R²+s²)®/² R ds R r = R + s² and sin o R²+s² 2nRarrow_forward
- (can you solve it fast, please) What is the path integral of the vector magnetic field strength H in the direction of the arrow?arrow_forwardA charged particle with mass m, charge q, kinetic energy K enters a magnetic field and then follows a circle of radius r as seen in the figure. Find the magnitude and direction of the magnetic field B. m, qarrow_forward3. A magnetic circuit consists of silicon steel 3000 permeability of 10-cm length and cross section of 1.5 sq.cm and an air gap of the same cross section and of 2 cm length. A ½ ampere current flows through 500 turns. What is the field intensity at the air gap? a. 156.8 Gauss b. 135.6 Gauss c. 140.6 Gauss d. 164.0 Gaussarrow_forward
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