Let's consider a perfect solenoid: radius R and infinite length. A current I flows through it. Assuming that B is zero outside the solenoid of the solenoid (true if L tends to infinity...!) use Ampère's law to calculate to calculate B inside the solenoid.
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Let's consider a perfect solenoid: radius R and infinite length.
A current I flows through it. Assuming that B is zero outside the solenoid
of the solenoid (true if L tends to infinity...!) use Ampère's law to calculate
to calculate B inside the solenoid.
Step by step
Solved in 1 steps with 1 images
- Consider a conducting ring of radius a and resistance R.Case I We first place the ring in a constant magnetic field B⃗ = B0 pointing into the page asshowna) Calculate the magnetic flux Φ through the ring. Express the answer in terms of the definedparameters in the problem.Calculate the pressure exerted on an infinitely long solenoid by the B-field produced by the solenoid. The solenoid has n turns per unit length and carries a current I. The turns have a radius r.You have decided that you love physics and want to construct your own solenoid. You find a plastic tube with a diameter of 8.0 cm and a length of 32 cm. You would like your solenoid to produce a rather large field of 0.35 T inside when you pass a 2.0-A current through the (insulated!) wires. How much wire (total length) do you need to construct this solenoid? [Answer: L = 1.1 × 104 m]
- Problem 2: Consider an infinitely long coaxial transmission line carrying a uniformly distributed current I in the inner conductor of radius a and -I in the outer conductor of inner and outer radii b and c such that c> b> a. Find the B field everywhere. Then find the energy per unit length stored by this coaxial line. b aImagine two concentric nested infinite solenoids having the same number of turns per unit length, but with radii R and 2R, respectively, and carrying currents I in opposite directions. Calculate the magnetic field a. in the region inside both solenoids, b. in the region between the solenoids (Hint: the answer is |Bvector| = μ0 * I * N / L), and c. in the region outside the solenoids. Assume that the thickness of current-carrying regions are negligible. Note that the magnetic field inside and outside an infinite solenoid with N turns of length L is Bvector = Bz * zhat, where Bz = 0 outside and Bz = μ0 * I * N / L inside its hollow interior.Consider a large loop with radius b. Positioned directly above its center is the center of a small loop with radius a. The planes in which they lie are parallel to each other. If a current I flows through the small loop, what will be the flux through the big loop? Hint: You may treat the small loop as a magnetic dipole or invoke mutual inductances if this problem is too difficult.
- For a solenoid in vacuum of length l = 10 cm with 104 turns per meter calculate the current required to create the field B = 70 µT. Provide your answer in Sl units.A small but rigid ∪∪-shaped wire carrying a 5.0-A current (Figure 1) is placed inside a solenoid. The solenoid is 20 cm long and has 600 loops of wire, and the current in each loop is 7.0 AA.So the only force is on the left branch, which is defined to be of length ll. What is the net force per unit length on the ∪-shaped wire?Consider the seven current-carrying wires and the four closed paths shown in the figure. For each of these paths (C,, C,, C2, and C.) determine the following in terms of un. Use standard sign convention for the currents; minus is down into the page and positive is up out of the page. (Assume I, = 3.00 A, I, = 5.00 A, I, = 8.00 A, I = 6.00 A, I, = 9.00 A, I, = 6.00 A, and I, = 7.00 A.) I6 (a) B. d : (b) B. ds = (c) B. ds = (d) в. ds
- Here we have a wire with current I=3.6 A pointing out of the page. Let's draw an Amperian path around that wire as shown in the picture belwo, with side length d=0.4 m and direction indicated by the arrows. What is the magnitude of the quantity ∮B⃗ ⋅dℓ⃗ for that Amperian path, in T*m?a. Design a circular conductor in XY plane to generate amagnetic dipole moment 100 mA meter 2 square along Zaxis.b. How much magnetic flux density can be obtained from thisconductor along Y axis at a distance of 10 meter? Usevalue of permeability of space 4πx 10 -7 .I could really use some help on some questions! The problem is as follows: A thine wire of length L carries a current I and is positional on top of the x-axis( see picture attached for clarification). The left of the wire lies on the origin. a) What direction is the B-field at point P? b) Determine the magnitude of the B-field at point P. (answer must be written in terms of L, I and a) c) Check the answer from part A by taking the limit L--> ∞ and comparing it to the magnetic field of an infinite straight wire, B=µ0I/2πr. The picture of the wire is attached below for visual. I appreciate the help!
