A long straight wire of circular cross section of radius a carries a steady current i. the current is uniformly distributed across its cross section. the ratio of the magnitudes of magnetic field at a point distant a/2 above the surface of wire to that at a point distant a/2 below its surface is

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A long straight wire of circular cross section of radius ‘a’ carries a steady current $I$. The current is uniformly distributed across the cross-section .Apply Ampere’ circular law to calculate the magnetic field at a point ‘r’ in the region for (i) $r \\prec a$ and (ii) $r \\succ a$.Plot a graph showing the nature of variation. A long straight wire of circular cross section of radius ‘a’ carries a steady current $I$. The current is uniformly distributed across the cross-section .Apply Ampere’ circular law to calculate the magnetic field at a point ‘r’ in the region for (i) $r \prec a$ and (ii) $r \succ a$.Plot a graph showing the nature of variation. Hint: Before going through the question let us first discuss Magnetism. Magnetism is a type of physical phenomenon that is mediated by magnetic fields. Electric currents and the magnetic moments of elementary particles combine to form a magnetic field, which interacts with other currents and magnetic moments. Electromagnetism is a multifaceted phenomenon that includes magnetism. Complete answer: Ampere’s Circuital law states that: According to Ampere's circuital theorem, the line integral of the magnetic field surrounding a closed-loop equals the algebraic number of currents passing through the loop. $\oint $ If a conductor is carrying current I, the current flow creates a magnetic field around the cable. The left side of the equation states that if a magnetic field is applied at each point along an imaginary path that encir...

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:Assume a long straight wire of a circular cross-section (radius a) carries a steady current I. The current I is uniformly distributed across this cross-section. (a) Compare the dependence of the magnetic flux density B with respect to r in the region r a, where r is the radial distance from the center of the circular cross-section of the wire. Assume a long straight wire of a circular cross-section (radius a) carries a steady current I. The current I is uniformly distributed across this cross-section. (a) Compare the dependence of the magnetic flux density B with respect to r in the region r a, where r is the radial distance from the center of the circular cross-section of the wire. (L4 - 15 points) (b) Illustrate the variation in the magnetic flux density B with distance r from the center of the wire. (L4 - 5 points)

11 Magnetic Forces and Fields • Introduction • 11.1 Magnetism and Its Historical Discoveries • 11.2 Magnetic Fields and Lines • 11.3 Motion of a Charged Particle in a Magnetic Field • 11.4 Magnetic Force on a Current-Carrying Conductor • 11.5 Force and Torque on a Current Loop • 11.6 The Hall Effect • 11.7 Applications of Magnetic Forces and Fields • A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0 × 10 −5 T 4.0 × 10 −5 T that is directed vertically downward, what is the resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire? Two long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in the same direction, what is the magnetic force per meter exerted on each wire? (b) Does the force pull the wires together or push them apart? (c) What happens if the currents flow in opposite directions? Two long, straight wires are parallel and 10 cm apart. One carries a current of 2.0 A, the other a current of 5.0 A. (a) If the two currents flow in opposite directions, what is the magnitude and direction of the force per unit length of one wire on the other? (b) What is the magnitude and direction of the force per unit length if the currents flow in the same direction? The accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r 1 = 3.0 cm r 1 = 3.0 cm and outer radius r 2 = 5.0 c...

A long straight wire of circular cross section of radius a carries a steady current I…………………… Class 12th Physics, Question -A long straight wire of circular cross section of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnitudes of magnetic field at a point distant a/2 above the surface of wire to that at a point distant a/2 below its surface is These are the options for the question :A long straight wire of circular cross section of radius a carries a steady current I. The current is uniformly distributed across its cross section. The ratio of the magnitudes of magnetic field at a point distant a/2 above the surface of wire to that at a point distant a/2 below its surface is (i) 4 :1 (ii) 1:1 (iii) 4: 3 (iv) 3 :4 The correct answer is -(iii) 4:3

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এসময়ত এখন গাঁৱত সাতজন ভাই- ককাই আছিল। সিহঁতে পৰৰ ধন-সোণ চুৰ কৰি জীৱন নিৰ্বাহ কৰিছিল। সিহঁত আটায়ে লগ লাগি এই কাম কৰিছিল। এদিনাখন ডাঙৰজনে আনবোৰক ক’লে, “ভাইসব, সেই বুঢ়া মানুহজনৰ বহুতো ধন-সম্পত্তি আছে। গতিকে আমি কাইলৈ তেওঁৰ ঘৰলৈ গৈ টকাখিনি লৈ আনোগৈ ব’লা।” আনবোৰেও সন্মতি জনালে। বুঢ়াই সিহঁতৰ পৰিকল্পনা সপোনত গম পাইছিল। ৰাতিপুৱা সাৰ পাই … Categories পুৰণি কালৰ কথা। বাৰাণসীত এজন ৰজা আছিল। ৰজাৰ এজন মন্ত্ৰীও আছিল। এবাৰ শত্ৰুৱে আক্ৰমণ কৰাত ৰজা আৰু মন্ত্ৰীয়ে শত্ৰুৰ সৈতে যুদ্ধ কৰি যুদ্ধত জয়লাভ কৰিলে। তেতিয়া ৰজাই মন্ত্ৰীক ক’লে মন্ত্ৰী মোৰ গুণতে আমাৰ যুদ্ধখনত জয় সম্ভৱ হ’ল। মন্ত্ৰীয়ে বোলে হ’বই নোৱাৰে। মোৰ গুণতহে আমি যুদ্ধখনত জয়ী হলো। এনেদৰে কথা কটাকটি কৰি থাকোতে দুয়োৰে মাজত কাজিয়া … Categories এদিন এজন মানুহে ৰজাৰ নগৰ চাবলৈ আহোঁতে এজনী মাইকী মানুহে তেওঁক লগ পাই কৰ মানুহ, কি কথা, কলৈ যাব বুলি সুধিলে। মানুহজনেও সকলো কথা ভাঙিপাতি ক’লে। মানুহজনীয়ে মানুহজনক নি ৰাজসভা পোৱালেগৈ। মানুহজনীয়ে ৰাজসভাত চিঞৰ-বাখৰ লগাই কান্দি কাটি ৰজাক ক’লে, ‘এই মানুহজনে মোৰ হাতৰ, কাণৰ গহনা আৰু ১৫০০ টকা কাঢ়ি ল’লে, মহাৰাজ বিচাৰ কৰি দিয়ক।’ ৰজাই … Categories প্ৰাচীন কালত পাৰস্য দেশত এজন সদাগৰ আছিল। সদাগৰে প্ৰায় ভাৰতলৈ বনিজ বেহাবলৈ আহে। এবাৰ তেওঁ ভাৰতৰ পৰা এটা ভাটো লৈ গৈ নিজৰ ঘৰত সোণৰ সজাত ৰাখি মৰমেৰে পুহিবলৈ ধৰিলে। ভাটৌ চৰাইটোৱে বৰ সাৰুৱা কথা কয়। সদাগৰে আজৰি সময়কণ ভাটৌৰ লগতে ভাল কথা পাতি কটায়। লাহে লাহে ভাটৌ সদাগৰৰ বন্ধু হৈ পৰিল। এবাৰ ভাৰতলৈ বণিজ বেহাবলৈ … Categories এখন গাঁৱত ৰুদাই নামেৰে এজন কণা আছিল। এদিন সি আলিবাটেদি গৈ আছিল। গৈ গৈ এডোখৰ বৰ ওখোৰা মোখোৰা বাট পালে। লগে লগে ৰুদাইৰ বৰ হাহাকাৰ লাগিল। সাৰ...