a. What is the expression for magnetic field B due to the current I in the long, straight wire, at distance r away from the wire? B = Give your answer in terms of given variables (I, r) and physical and numerical constants (Mo, π, ke, and/or c). Spell out Greek letters and use underscore ("_") for subscripts. . b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic flux, $ = = [₁ BdA. Find the magnetic flux through the loop as a function of I ( will be proportional to I, as shown below; find the coefficient, in base SI units). Hint for (b) Φ I. Give your answer in terms of given variable (I); plug in numerical values of given geometric parameters and physical and numerical constants in base SI units. c. Find the rate of change of the current by setting d/dt as equal to the induced voltage and solving for dI/dt. Hint for (c) The rate of change of the current in the wire is dI dt (Note: the number here will be unreasonably large. Just plug in your result.) A S

a. What is the expression for magnetic field B due to the current I in the long, straight wire, at distance r away from the wire? B = Give your answer in terms of given variables (I, r) and physical and numerical constants (Mo, π, ke, and/or c). Spell out Greek letters and use underscore ("_") for subscripts. . b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic flux, $ = = [₁ BdA. Find the magnetic flux through the loop as a function of I ( will be proportional to I, as shown below; find the coefficient, in base SI units). Hint for (b) Φ I. Give your answer in terms of given variable (I); plug in numerical values of given geometric parameters and physical and numerical constants in base SI units. c. Find the rate of change of the current by setting d/dt as equal to the induced voltage and solving for dI/dt. Hint for (c) The rate of change of the current in the wire is dI dt (Note: the number here will be unreasonably large. Just plug in your result.) A S

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: 5. A very long, thick cylindrical wire of radius R carries a current density J that varies across…

Q: A solenoid used to produce magnetic fields for research purposes is 2.7 m long, with an inner radius…

A: Given data: Length (L) = 2.7 mInner radius (r) = 68 cmNumber of turns (N) = 3.4×104Current (I) = 300…

Q: What is the strength of the magnetic field at point P in the figure? (Figure 1) Assume that I = 4.6…

Q: electron in a cathode ray tube has a kinetic energy of 102 eV and moves in a direction perpendicular…

Q: 2. B field around a cylinder The figure shows a cross-section of a long, hollow, cylindrical…

Q: 2.0-m long conducting wire is formed into a square and placed in the horizontal XY plane A uniform…

Q: A uniform magnetic field of 10 x10 i passes through a single loop rectangular coil of dimension of…

A: Given data: Magnetic field, B=10×10-3 T Length of the rectangle loop, l=3.3 m Breadth of the…

Q: Q41. A conducting wire with a current of I = 2.00 A forms a circular arc with a radius of r = 10.0…

A: A conducting wire with a current I = 2A form a circular arc of radius 10cm.

Q: In the figure, four long straight wires are perpendicular to the page, and their cross sections form…

Q: A solenoid used to produce magnetic fields for research purposes is 2.2 m long, with an inner radius…

A: Given data: Length (L) = 2.2 m Inner radius (r) = 79 cm Number of turns (N) = 3.6×104 Current (A) =…

Q: What is the magnetic field (magnitude and direction) at point P if a = 2 cm, b = 5 cm, and I = 4 A?…

Q: What is the direction of the magnetic force on current 2 (by the magnetic field of current 1)?…

A: Given data: Two wires having currents in opposite directions Direction of current in wire 1 is…

Q: A long pair of insulated wires serves to conduct 23.0 A of dc current to and from an instrument. If…

A: Given Current in the wire (I)=23.0ADistance between the wire(d)=2.8mm=0.0028mDistance of point…

Q: Niobium metal becomes a superconductor when cooled below 9 K. Its superconductivity is destroyed…

A: The magnetic field at the surface of the niobium wire can be given by the Ampere’s law as, Here, I,…

Q: Three long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an…

A: We know that,Magnetic field at point 'p' at a distance d from the infinitely long straight wire…

Q: A 3.0 uC charge moves horizontally due east with a speed of 4.0*10^5 m/s. A magnetic field of 1.2 T…

Q: The aurora is caused when electrons and protons, moving in the earth's magnetic field of =5.0x10-5…

Q: Magnetic field is given in units of Tesla (T). 1. Straight forward What is the strength of the…

A: i=10 Ar=2.00 mm

Q: Two VERY LONG wires are placed along parallel lines as shown below in the picture. The wire ON THE…

A: The magnetic field due to a infinitely long straight current carrying wire is given by B=μ0 I2πd, d…

Q: 17.5.00 A current flows in the +x within a straight horizontal wire, 1.50 m long. The wire is within…

A: As per guidelines we are suppose to answer one question from multiple questions kindly post rest of…

Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Shown in the following figure is a long, straight wire and a single-turn rectangular loop, both of which lie in
the plane of the page. The wire is parallel to the long sides of the loop and is 0.5 m away from the closer
side. At an instant when the voltage induced in the loop is 2.5 V, what is the time rate of change of the
current in the wire?
0.50 m]
3.0 m
0.50 m
a. What is the expression for magnetic field B due to the current I in the long, straight wire, at
distance r away from the wire?
B =
. Give your answer in terms of given variables (I, r) and
physical and numerical constants (o, T, ke, and/or c). Spell out Greek letters and use underscore
("_") for subscripts.
b. Because the magnetic field is not uniform, you will have to use integration to calculate the magnetic
flux, =
= [₁ BdA. Find the magnetic flux through the loop as a function of I ( will be
proportional to I, as shown below; find the coefficient, in base SI units).
Hint for (b)
Φ
I. Give your answer in terms of given variable (I); plug in numerical
values of given geometric parameters and physical and numerical constants in base SI units.
c. Find the rate of change of the current by setting d/dt as equal to the induced voltage and solving
for dI/dt.
Hint for (c)
The rate of change of the current in the wire is
dI
dt
(Note: the number here will be unreasonably large. Just plug in your result.)
A
S

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Magnetic field

VIEW

Step 2: Flux

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A square loop of current is in a magnetic field. a. If the field is uniform, is there always a net force, never a net force, or sometimes a net force? Explain or prove your answer mathematically. If you said sometimes, explain under what circumstances you get a net force and under what circumstances you do not get a net force. b. If the field is NOT uniform, is there always a net force, never a net force, or sometimes a net force? Explain or prove your answer mathematically. If you said sometimes, explain under what circumstances you get a net force and under what circumstances you do not get a net force.
In the figure, a long straight wire carries a current i = 28.6 A and a rectangular loop carries current iz = 27.7 A. Take a = 0.852 cm, b = 8.41 cm, and L = 26.2 cm. What is the magnitude of the net force on the loop due to i1? a L. I. Number i Units
A conductor consists of a circular loop of radius R = 16.0 cm and two long, straight sections as shown in the figure below. The wire lies in the plane of the page and carries a current I = 1.2 A. Find the magnitude of the magnetic field (in μT) at the center of the loop. Round your answer to 2 decimal places.
The earth's magnetic field, with a magnetic dipole moment of 8.0 x 1022 A m², is generated by currents within the molten iron of the earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter "wire." The loop diameter is measured from the centers of this very fat wire. ▼ Part B What is the current density J in the current loop? Express your answer to two significant figures and include the appropriate units. J = Submit Part C Лоор Jwire μA Value Submit Request Answer To decide whether this is a large or a small current density, find the ratio of the current density J in the current loop to the current density of a 3.0 A current in a 1.0-mm-diameter wire. Express your answer using two significant figures. 17 ΑΣΦ VO Units Request Answer ? ?
e. Draw the Amperian loop that will allow you to find the magnetic field at a point P inside the cylinder (r < b). f. Write the integral B ds = $ B cos o ds in terms of the unknown B and the givens 7 and/or b. Your answer should look familiar. g. i. What is the current Ithru going through your Amperian loop? Hint: the current is spread out evenly over the cross-sectional area of the wire so set up a ratio of areas. Check that your expression for Ithrough has the dimensions of current. h. Use (f) and (g) to determine the magnetic field for r
The aurora is caused when electrons and protons, moving in the earth’s magnetic field of ≈5.0×10^−5 T, collide with molecules of the atmosphere and cause them to glow. a. What is the frequency of the circular orbit for an electron with speed 1.0×10^6 m/s? Assume that the electron moves in a plane perpendicular to the magnetic field. b. What is the frequency of the circular orbit for a proton with speed 5.0×10^4 m/s?
A. What is the current in the current loop? B. What is the current density J in the current loop? C. To decide whether this is a large or a small current density, find the ratio of the current density J in the current loop to the current density of a 8.0 A current in a 1.6- mm diameter wire. Express your answer using two significant figures.
6. A wire with length L carries a constant current of I in the +y direction. See figure. It is in a region of space where the magnetic field is given by: B=-B, y (4) L positive constant. If the magnitude of the magnetic force on the wire is F, find Bo. The knowns are F, I and L. Start with dF = Idl x B I i, where Bo is a thickness = dy I L
So theres 2 long straight current-carrying wires are lined up parallel to one another at a distance ?d. Currents of 4 A and 2 A flow through the wires, both in the same direction generating the field of 9.2x10-6 T at a midpoint between them. Calculate the distance between the wires. Give your answer in SI units. Use ?0=4?×10−7μ0=4π×10−7 Hm-1.