Concept explainers
In a region of space, the electric field is pointed along the x-axis, but its magnitude changes as described by
where t is in nanoseconds and x is in cm. Find the displacement current through a circle of radius 3 cm in the x = 0 plane at I = 0.
Trending nowThis is a popular solution!
Chapter 16 Solutions
University Physics Volume 2
Additional Science Textbook Solutions
Tutorials in Introductory Physics
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
An Introduction to Thermal Physics
College Physics
Conceptual Physics (12th Edition)
College Physics: A Strategic Approach (4th Edition)
- A silver wire has resistivity r = 1.62 * 10-8 ohm m and a cross-sectional area of 5.00 mm2. The current in the wire is uniform and changing at the rate of 2000 A/s when the current is 100 A. (a) What is the magnitude of the (uniform) electric field in the wire when the current in the wire is 100 A? (b) What is the displacement current in the wire at that time? (c) What is the ratio of the magnitude of the magnetic field due to the displacement current to that due to the current at a distance r from the wire?arrow_forwardA cylindrical conducting cable with cross-sectional radius of R = 1.1mm carries a current gixen by the current density wwm wwww m j = 5 (1-) %3D where the magnitude of the constant vector Dis 5x10^6 A/m^2 and x is the distance to the axis, of the cylinder. What is the current in the cable in ynites of ampere? (Take pi=3) Mw man M M marrow_forwardA silver wire has resistivityp = 1.20 × 10-8 2.m and a cross-sectional area of 5.30 mm2. The current in the wire is uniform and changing at the rate of 2350 A/s when the current is 140 A. (a) What is the magnitude of the (uniform) electric field in the wire when the current in the wire is 140 A? (b) What is the displacement current in the wire at that time? (c) What is the ratio of the magnitude of the magnetic field due to the displacement current to that due to the current at a distance r from the wire? (a) Number Units (b) Number Units (c) Number Unitsarrow_forward
- Problem 9: An electric current is flowing through a long cylindrical conductor with radius a = 0.35 m. The current density J= 5.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB ©theexpertta.com Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. a Part (b) Express the magnitude of the magnetic field B at r in terms of the currenı through the imaginary cylinder Ir and its radius r. Part(c) Express B in terms of J and r Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms ofr, a and J Δ Part (f) Express the magnitude of the magnetic field, B, atr > a in terms of land Part (g) Express B in terms ofJ, a andr Δ Part (h) For r= 2 a, calculate the numerical value of B in Tesla. B(r-2a)- tan( cos0) cotan)asin) acos(0 sin 4 5 6 atan acotan sinhO cosh) tanh0 *1 23 0…arrow_forwardGiven: B = 5 * 10-5 T ẑ; σ = 4 (Ohm-meters)-1 (conductivity) a) Assume that seawater is moving at a constant velocity v = v0 ŷ and that the Earth’s magnetic field is along the ẑ-direction. Calculate the electric current density J produced by the magnetic force. Hint: first compute the force per unit charge, F/q, and then use the relationship J = σ(F/q). b) Derive the equation of motion of a cylindrical differential volume element of base area δA and height δh parallelto the direction of J. Assume that seawater has a known volumetric mass density ρ. Show that this equation implies that the velocity satisfies the following differential equation:dvy/dt = vy/τwhere τ is a constant that you should write in terms of B, σ, and ρ.arrow_forwardA (7.4020x10^-1)-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate (3.24x10^12) V/mxs. What is the magnitude of the magnetic field at a point (2.0320x10^-1) m from the axis? Express your result with three significant figures.arrow_forward
- 10 km long copper conductor with a diameter of 2 cm J=8 A/mm^2 has a current density. According to this the electric field (E) on the conductor, the drift velocity of the electrons (Vc), the magnetic field 50 cm from the wire. Calculate the area (B) and DC resistance (RCu) : (H=3,2×10³ m²/Vs, ocu-5,80×10 S/m).arrow_forwardA capacitor with square plates, each with an area of 37.0 cm2 and plate separation d = 2.44 mm, is being charged by a 555-mA current. (a) What is the change in the electric flux between the plates as a function of time? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that dΦE/dt is in V · m/s and t is in seconds. Do not include units in your answer. Enter the magnitude.)arrow_forward7.17 A solid cylindrical wire of radius a carries current Iin the positive z direction. The wire conductivity is radially dependent and is given by a(p) = oop S/m, where o is a constant. The electric field intensity, constant throughout the wire volume, is given by E = E, a. V/m. (a) Find J in terms of Eo, 0o, and p. (b) Find E, in terms of I. (c) Express J in terms of I and other parameters, excluding Eo. (d) Using your part c result, find H inside and outside the wire. (e) Verify your part d result by applying V x H = J.arrow_forward
- If a magnetic field on a perfect conducting surface z = 0 is H = 10 cos(10t – 5z)x^ , find the surface current density Jsarrow_forwarda) What would the Hall voltage be (in µV) if a 2.40 T field is applied across a 13-gauge copper wire (1.829 mm in diameter) carrying a 22.0 A current? (Assume the free charge density of copper is 8.342 ✕ 1028 e−/m3.) b)A mirror hangs 1.62 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the floor 1.12 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the wall. What is the change in the angle of elevation of the Sun, between the two observations? c)Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.45. What time in nanoseconds is required for a signal to travel 0.180 m through such a fiber?arrow_forwardA uniform electric field of 7.42 V/m west and a uniform magnetic field of 7.78 T west exist in a region of space. Find the magnitude of the acceleration of an electron moving with velocity 1.52 m/s north in this area. Answer in units of m/s2.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON