Concept explainers
A long solenoid of radius a with n turns per unit length is carrying a time-dependent current
by a wire of resistance R that has two circular- loops of radius b with b>a (see the following figure). Find the magnitude and direction of current induced in the outer
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
University Physics Volume 2
Additional Science Textbook Solutions
University Physics (14th Edition)
College Physics
Tutorials in Introductory Physics
The Cosmic Perspective (8th Edition)
University Physics Volume 1
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
- A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?arrow_forwardA long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?arrow_forwardBy how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?arrow_forward
- A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?arrow_forwardA conducting rod moves with a constant velocity in a direction perpendicular to a long, straight wire carrying a current I as shown in Figure. Find the magnitude of the emf generated between the ends of the rod.arrow_forwardCross-sectional views of three long conductors carrying currents I = 2.6 A, I2 = 2.2 A, and 13 = 5.6 A are shown in the figure below. Determine the closed line integrals O B• de around the five Ampèrian loops a through e as shown in the figure. (Assume positive current is into the page.) de b d de de de loop a T. m loop b T. m loop c T.m loop d T. m loop e T.marrow_forward
- The figure below shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 25.0 cm long, has a radius r = 3.00 cm, and consists of 80 turns of wire. The length of each side of the square loop is e = 1.50 cm. (a) The current in the solenoid is 2.00 A. What is the magnetic flux through the square loop (in T • m2)? T:m2 (b) The current decreases from 2.00 A to zero in 2.00 s. What is the magnitude of the average induced emf in the square loop (in V) over this time? Varrow_forward3. A solenoid has radius 5.80 mm, length 11.0 cm, 5000 turns, and is placed with its axis of symmetryalong the x-axis, through the origin. A vector normal to the opening of the solenoid points to the right.We measure the resistance of the solenoid to be 14.0 Ω. The solenoid is in a region where thetemperature is 49.0°C and initially, there is an external magnetic field of 0.30 T in the +x direction.Then the magnetic field is turned off and drops to 0 T over 50.0 milliseconds.a. What is the magnitude of the average induced emf during the 50.0 milliseconds while the magneticfield magnitude decreases to 0?________________________b. What is the direction of the induced current, as viewed from the right? Answer clockwise,counterclockwise, or zero and show work or explain in words.________________________c. What is the magnitude of the induced current? ________________________d. What is the magnitude and direction of the induced magnetic field?arrow_forwardA solenoid ring with N = 3 loops is immersed in a uniform time-varying magnetic field (shown in the figure) whose strength is given by B = (1/4) sin(t/2) [T], where t is in seconds. If the radius of the loop is r = 2[m], what is the maximum magnitude of the EMF in the loop? At what time is the magnitude of the EMF at half its max value? Refer to the image for the question, and kindly provide complete solutions.arrow_forward
- A 2500-turn solenoid is 1.5 m long and 15 cm in diameter. The solenoid current is increasing at 1.5 kA/s. Find the current in a 10-cm diameter wire loop with resistance 5.0 Ω lying inside the solenoid and perpendicular to the solenoid axis. Repeat for a similarly oriented 25-cm diameter loop with the same resistance, lying entirely outside the solenoid.arrow_forwardA long solenoid has N turns, a length L and a circular cross section with a radius R. If the current varies as I(t), then what is the induced electric field as a function of radius r? Give answers for r < R and r > Rarrow_forwardPLS ANSWER WITHIN 10MINS For a toroidal solenoid, suppose the number of turns is 291, the area is 4.89 cm 2, and the radius is 8.43 cm. The current in the toroidal solenoid increases uniformly from 0 A to 1.37 A in 3.28 us. Find the magnitude of the self-induced emf. Final answer should be in two (2) decimal places. For the final answer, express the unit in symbols. For example: 5.00 Kelvin should be expressed as 5.00 Karrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning