Show that 1.00 Wb = 1.00 V • s. [Hint: Use Faraday’s Law, Eq. (32.4).]
To prove:
Explanation of Solution
Given data:
The value of fluxis
Formula used:
The magnitude of induced emf in a coil is expressed as,
Here,
Explanation:
Recall the expression for the magnitude of induced emf in the coil.
Rearrange for
For 1 turn,
Substitute 1 for
Write the unitsof
The unit of
Substitute
Conclusion:
Want to see more full solutions like this?
Chapter 34 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- Check Your Understanding What Is the magnitude of the induced electric field in Example 13.8 at t=0 if r= 6.0cm, R= 2.0cm,n = 2000 turnspermeter, I0= 2.0A, and a = 200s-1?arrow_forwardA solenoid 10.0 cm in diameter and 75.0 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. What power must be delivered to the solenoid if it is to produce a field of 8.00 mT at its center?arrow_forwardQ) A rectangular loop with a = 4 cm and b = 6 cm is rotating at 100 rev/s with the axis of rotation perpendicular to a magnetic field B = 3.5î T. When considering 500 turns on this loop, what is the maximum voltage induced in the loop? (π = 3.14) A) 0.52752 V B) 0.05275 V C) 0.26376 V D) 0.02637 V E) 0.25895 Varrow_forward
- It has been proposed that extending a long conducting wire from a spacecraft (a "tether") could be used for a variety of applications, from navigation to power generation. One of the first such experiments involving this technique was an August 1992 space shuttle flight, but the tether failed and only only 250 m of the conducting wire could be let out. A 40.0 V motional emf was generated in the Earth’s 5.0 × 10-5 T field, while the shuttle and tether were moving at 7.80 × 103 m/s. What was the angle (in degrees) between the shuttle’s velocity and the Earth’s field?arrow_forwardA horizontal rectangular surface has dimensions 2.80 cm by 3.20 cm and is in a uniform magnetic field that is directed at an angle of 30.0° above the horizontal. What must the magnitude of the magnetic field be to produce a flux of 2.10 x 1O{-4} Wb through the surface? O 0.27 T O 0.47 T O 4.69 x 10^{-5} T O 2.7 x 10^(-5} Tarrow_forwardQ. 21: An electron enters in a magnetic held of induction 2 mT with velocity of 1.8 × 107 m/s. The radius of circular path is (CET-2008) (a) 5.1 cm (b) 5.1 mm (c) 5 km (d) 2.1 cmarrow_forward
- What is the speed of a supersonic aircraft with a 17.0-m wingspan, if it experiences a 1.60-V Hall voltage between its wing tips when in level flight over the north magnetic pole, where the Earth’s field strength is 8.00 x 10-5 T? Explain why very little current flows as a result of this Hall voltage.arrow_forwardA person who works with large magnets sometimes places her head inside a strong field. She reports feeling dizzy as she quickly turns her head. How might this be associated with induction?arrow_forwardA long solenoid (radius = 3.0 cm, 2500 turns per meter) carries a current given by I = 0.30 sin(200 t) A, where t is measured in s. When t = 2.5 ms, what is the magnitude of the induced electric field at a point which is 4.0 cm from the axis of the solenoid? O 9.3 x 10-3 V/m O 1.9 x 10-3 V/m O 8.0 x 10-3 V/m O 6.7 x 10-3 V/m O 5.3 10-3 V/marrow_forward
- 4. Three copper frames are dragged through an external magnetic field in the direction s shown. The magnetic field has a uniform magnitude left but is zero on the right. Use Lenz's law to determine the direction (cw/ccw/zero) of the current induced in the copper frame. A B C D VA x Ø X Ø Ⓡ ‒‒‒‒‒‒ 15 VD vcarrow_forwardThe magnetic field inside a 15.0 cm-long solenoid is measured to be 6.58 x 10-4 T. If the solenoid has 30 turns, how many electrons are passing through it every second? [Units: none]arrow_forward2. A small solid conductor with radius a is supported by insulating, nonmagnetic disks on the axis of a thin-walled tube with inner radius b. The inner and outer conductors carry equal currents i in opposite directions. (a) Use Ampere's law to find the magnetic field at any point in the volume between the conductors. (b) Write the expression for the flux dPB through A a narrow strip of length 1 parallel to S2 the axis, of width dr, at a distance r 2.0 mH 5.0 μF R from the axis of the cable and lying in a plane containing the axis. (c) Integrate your expression from part (b) over the volume between the two conductors to find the total flux produced by a current i in the central conductor. (d) Show that the inductance of a length 1 of the cable is L = 1In (2). (e) Calculate the energy 2n stored in the magnetic field for a length 1 of the cable. (Problem 30.48) ellarrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning