1-24 Differentiate the axial scalar mag- netic potential of a solenoid of length L with N closely spaced turns to obtain the axial magnetic induction field. Show that this field can be conveniently writ- ten NIµo Bz (cos 01 + cos 02) 2L where 01 and 02 are respectively the an- gles subtended by the solenoid's radius at the left and the right end of the coil (Figure 1.19).
Q: A 16 turn conductive loop with an enclosed are of 0.44 m? exists in the plane of the page. A uniform…
A: Number of turn N = 16 Area of loop = 0.44m2 value of B(t) = 3t2e-0.4t resistance of loop = 2.5ohm
Q: For a solenoid in vacuum of length I = 10 cm with 10“ turns per meter calculate the value of the…
A: Given that, The length of the solenoid, l=10 cm=10-2m=0.1 mThe number of turns, N=104External…
Q: In a solenoid of length 1 = 10 cm with 3707 turns per meter the current creates the field B = 70 μT.…
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Q: A coil consisting of 800 turns, very closely spaced, has an inductance of 4mh and a current of…
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Q: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,…
A: Solution:-Given thatNumber of windings (N)=2000self inductance (L)=0.04 Hh=0.1 mEnergy in magnetic…
Q: A long solenoid with a axa square cross section has n turns per length sits iwth a vertical central…
A: The objective of the question is to find the mutual inductance between a long solenoid and a flat…
Q: The copper rod 1.5m long is rotated in a magnetic field of induction 6x105wb/m². If it performs 1200…
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Q: A solenoia of length 30 cm carri current of 9A. It has its windings in 2 lar with each layer having…
A: Given, Length of the solenoid, l=30cm Current, I=9 A It has 2 layers of winding Each layer has 600…
Q: A flux of 25 X10^5 Maxwell links with a 1500 turn coil when a current of 3 A passes through the…
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Q: Anupright rectangular loop of height a and width b has a lightbulb attached to it, with some…
A: We are given magnetic field. We are given dimensions of rectangular loop. The loop is…
Q: A square coil of side 4 cm and 200 windings lies perpendicular to a magnetic field of 4.0 T. The…
A: Given: The side of the square is 4 cm. The number of winding is 200. The magnetic field is 4.0 T.…
Q: As shown in the figure, the wire is of uniform thickness, the current passing through is 5A, the…
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Q: A uniform magnetic field is directed at an angle of 30° with the plane of a circular coil of radius…
A: Given: Circular coil radii, r=282=14 cm=0.14 m No. of turns, n=100×28=2800 Angle b/w B-field &…
Q: A coil of 10.0 turns is in the shape of an ellipse havinga major axis of 10.0 cm and a minor axis of…
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Q: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,…
A: Given data : No. Of winding in toroid N = 2000 Inductance L = 0.040 H rectangular height h =…
Q: 1) A transmission line is made made out of two parallel wires of 5 mm radius as shown in the figure…
A: Given data, Current in the each wire = I Radius of each wire = 5 mm Distance between wires = 3.5 cm…
Q: A circular metal ring of radius a and resistance R is in a uniform magnetic field that is in a…
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Q: The inductance of a long solenoid of length 1000 mm wound uniformly with 3000 turns on a cylindrical…
A: Given: Length of the solenoid, l = 1000 mm Number of turns, N = 3000 Diameter, d = 60 mm Radius, r =…
Q: An emf of 26.5 mV is induced in a 504 turn coil when the current is changing at a rate of 10.5 A/s.…
A: Given data *The given induced emf is E = 26.5 mV = 26.5 × 10-3 V *The number of turns in a coil is N…
Q: Q2 (a)For the shown magnetic core which have a relative permeability of 4200 , determine the…
A: (a) Calculate the permeability of the core. μ=μ0μr=4π×10-7H/m×4200=5.277×10-3 H/m Here, μ is the…
Q: A solenoid 22.0 cm longand with a cross-sectional area of 0.500cm² contains 415turns of wire and…
A: Given: The given values are, L=22.0 cmL=0.22 m Area=0.500 cm2Area=0.500×10-4m2 N=415 turns I=85.0 A…
Q: A coil having an area 2m² is placed in a magnetic field which changes from 1Wb/m² to 4Wb/m² in an…
A: Given: Area, A= 2 m2change in time, ∆t= 2 sec
Q: "A generator is designed to produce a maximum emf of 123 V while rotating with an angular speed of…
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Q: A wire of resistance 0.50 ohms forms a loop of area 7.85*10^5 m^2, andthen is placed in a uniform…
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Q: A very long solenoid with a circular cross section and radius r1= 2.50 centimeters with ns = 140…
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Q: If there are two tums in a coil rotating in a magnetic field the total induced voltage between two…
A: We need to comment on the emf induced in a coil rotating in a magnetic field.
Q: When a current of 60 mA is passed through the coil of a tangent galvanometer a deflection of 45°is…
A: We have to find, BH Given that, I=60 mA=60×10-3 A=6×10-2 Aθ=45°n=50 turns,r=8.8 cm=8.8×10-2…
Q: The magnetic field intensity when measured at various points away from the bar magnet is shown to…
A: Given: The initial magnetic flux density is 10 mT. The final distance of the point is 2 m.
Q: Part A What is the energy dissipated as a function of time in a circular loop of N turns of wire…
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Q: Consider a cylindrical solenoid with a radius of 4.00 cm and 600 turns wrapped over a length of 5.0…
A: Given : A cylindrical solenoid with radius, r = 4 cm = 4 x 10-2 m…
Q: A 230-turn coil lies in the plane of the page in a uniform magnetic field of strength 4.80 T. The…
A: Given that,Number of turns : N = 230 turns Magnetic field : B = 4.80 T Area : A = 0.125…
Q: For a toroidal solenoid with the average circumference L =10 cm and 200 coils, the current is 100…
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Q: Find the emf voltage generated at the terminals of a 25 turns square coil of area 0.4m centered at…
A: given, number of turns N=25area of square coil =0.4m2side of square coil=0.2mB=30cos6xcos(2π103t)az
Q: A rectangular coil having 100 turns of length 10 cm and breadth 5 cm is suspended in radial magnetic…
A: To find- Current sensitivity of MCG (S)=? Given data- n=100l=10.0 cm=0.1 mb=5 cm=0.05 mB=0.002…
Q: In a solenoid of length 1 = 10 cm with 1941 turns per meter the current creates the field B = 70 µT.…
A: Length of solenoid l= 0.10 m number of turn N= 1941 per meter number of turns in l = 1941 x 0.10…
Q: Given that the time rate of change of magnetic flux through a coil is -5E-2 and the total emf…
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Q: A circular coil with N turns of wire lies in the plane of the screen (the x-y plane). It has radius…
A: (a) Expression for the magnetic flux. (b) Expression for the induced emf. (c) Magnitude and the…
Q: ACTIVITY #2 – PROBLEM-SOLVING A closely wound solenoid of 1,250 turns has an axial length of 98cm…
A: Given: The number of turns is 1250. The leght of the solenoid is 98 cm. The radius of the solenoid…
Q: A conducting copper coil flat in the xy-plane has 50 turns and a cross-sectional area of 0.070 m² so…
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Q: In the figure, a 100-turn coil of radius 2.1 cm and resistance 6.O Q is coaxial with a solenoid of…
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