Concept explainers
Imagine that a steady current I flows in a straight cylindrical wire of radius R0 and resistivity ρ. (a) If the current is then changed at a rate dI/dt, show that a displacement current ID exists in the wire of magnitude ε0ρ(dI/dt). (b) If the current in a copper wire is changed at the rate of 1.0 A/ms, determine the magnitude of ID. (c) Determine the magnitude of the magnetic field BD (T) created by ID at the surface of a copper wire with R0 = 1.0 mm. Compare (as a ratio) BD with the field created at the surface of the wire by a steady current of 1.0 A.
Want to see the full answer?
Check out a sample textbook solutionChapter 31 Solutions
PHYSICS F/SCI+ENGINEERS PKG >CUSTOM<
Additional Science Textbook Solutions
University Physics (14th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
University Physics Volume 1
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Essential University Physics (3rd Edition)
Conceptual Physical Science (6th Edition)
- Show that the magnetic field at a distance r from the axis of two circular parallel plates, produced by placing charge Q(t) on the plates is Bind=02rdQ(t)dtarrow_forwardA 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 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?arrow_forwardA mass spectrometer (Fig. 30.40, page 956) operates with a uniform magnetic field of 20.0 mT and an electric field of 4.00 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle (ma = 6.64 1027 kg)?arrow_forward
- A 0.9 uC particle with an initial velocity of 2.5 x10^8 m/s along the positive axis enters the region of a uniform magnetic and electric field. The magnetic field is 3.69 x10^3 T along the positive y-axis. Find the magnitude and the direction of the electric field, if it passes the region undeflected.arrow_forwardIn a region a non-uniform magnetic field exists such that Bx = 0, By = 0, and Bz = ax, where a is a constant. At some time t, a wire of length L is carrying a current I is located along the x-axis from origin to x = L. Find the magnetic force on the wire at this instant in time.arrow_forward)A flat circular loop of radius 1.49 m is rotating in a uniform magnetic field of 1.46 T. Find the magnetic flux, in T m2, through the loop when the plane of the loop and the magnetic field vector are perpendicular.arrow_forward
- circular region of radius R = 3.00 cm in which a displacement current is directed out of the page. The displacement current has a uniform density of magnitude Jd = 6.00 A/m2.What is the magnitude of the magnetic field due to the displacement current at radial distances (a) 2.00 cm and (b) 5.00 cm?arrow_forwardWhen the Hemholtz distance condition is satisfied the second derivative of the magnetic field with respect to z vanishes or becomes zero at the center ( point P). Show that both d2Bz/dz2 = 0 and d3Bz/dz3 = 0 at point P.arrow_forwardA circular plate has a radius of 6 cm in which a displacement current is directed out of the page. The displacement current has a uniform density of magnitude Jd = 3 A/m2. What is the magnitude of the magnetic field due to the displacement current, id at a radial distance 2.5 cm?arrow_forward
- A 0.5m long straight conductor wire placed on the z-axis carries a current of 10A. If B=-r0,1T in the region where the conductor is located, find the amplitude of the force on the conductor.arrow_forwardA long, cylindrical conductor of radius R carries a current I as shown in the figure below. The current density J, however, is not uniform over the cross-section of the conductor but is a function of the radius according to J = 3br^5, where b is a constant. Find an express for the magnetic field magnitude B at the following distances, measured from the axis. (A) r1 < R B= (B) = r2 > R B=arrow_forwardAn electric field is restricted to a circular area of diameter d = 10.9 cm as shown in the figure. At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a rate of 18.0 V/(m · s). A)What is the direction of the magnetic field at the point P, r = 16.6 cm from the center of the circle? B)What is the magnitude of the magnetic field (in T) at the point P, r = 16.6 cm from the center of the circle? C) As before, at the moment shown in the figure, the electric field within the circle has a magnitude of 300 V/m and is increasing at a rate of 18.0 V/(m · s). In addition, suppose that the radius of the circular area of the electric field increases at a rate of 1.00 cm/s. What would the magnitude of the magnetic field be at point P at this moment (in T)?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning