A conducting bar of mass m = 1kg and length I = 1m is in contact with a thin conducting circular ring as shown in the figure. The bar rotates about the pivot point o which is also the center of the ring. The ring and the bar are connected by a resistor R = 1N. A uniform magne tic field B = 1T is applied perpendicular to the rotating plane of the bar and the ring. The bar is released to rotate at t = O after reaching ini tial angular speed w, = 100rad/s. Find the angular speed w of the rod att = 4s. (Assume that there is a good electrical contact between bar and the ring and ignore friction forces).

A conducting bar of mass m = 1kg and length I = 1m is in contact with a thin conducting circular ring as shown in the figure. The bar rotates about the pivot point o which is also the center of the ring. The ring and the bar are connected by a resistor R = 1N. A uniform magne tic field B = 1T is applied perpendicular to the rotating plane of the bar and the ring. The bar is released to rotate at t = O after reaching ini tial angular speed w, = 100rad/s. Find the angular speed w of the rod att = 4s. (Assume that there is a good electrical contact between bar and the ring and ignore friction forces).

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 73P: Review. The use of superconductors has been proposed for power transmission lines. A single coaxial...

See similar textbooks

Similar questions

Review. The use of superconductors has been proposed for power transmission lines. A single coaxial cable (Fig. P23.73) could carry a power of 1.00 103 MW (the output of a large power plant) at 200 kV, DC, over a distance of 1.00 103 km without loss. An inner wire of radius a = 2.00 cm, made from the superconductor Nb3Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b = 5.00 cm would carry the return current I. In such a system, what is the magnetic field (a) at the surface of the inner conductor and (b) at the inner surface of the outer conductor? (c) How much energy would be stored in the magnetic field in the space between the conductors in a 1.00 103 km superconducting line? (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor? Figure. P23.73
A conducting rod slides on two parallel conducting bars as shown below. The bars are connected through a 10 ohm resistor which has a voltmeter attached across it. The bars are separated by .15m in the y direction. A force F is applied to therod to keep the rodmoving in the x direction at constant speed of v=6m/s. A uniform B-field of B=3mT is perpendicular to the x-y plane and points into the page as shown. R= 3mT とミ/Sm R= 10L IN a) Determine the magnetic flux D(x) as a function of x. b) Calculate d®/dt in Wb/s c) Determine the magnitude of EMF measured by the voltmeter. d) Calculate the current through the resistor and its direction (CW or CCW). e) Determine the magnitude of the force required to pull rod. f) Determine the energy density stored in the B-field.
An ordinary gold wedding ring is tossed end over end into a running MRI machine with a 4.0 T field. The ring spends 1.2 s in the field, during which it completes 60 full rotations. If the ring has a resistance of 6.02 and a diameter of 19 mm, what is the average power Pavg dissipated by the ring? Pave TOOLS ΣΤΟΥ W
RAŽ ŽRB Rc RD ɛ = 12 V, RA = 5 Q, RB = 3 2, Rc = 1 Q, and Rp = 3 2. The switch is open. a) What is the battery current? (include units) b) What is the difference in electric potential between points a and b? (include units) c) The switch is closed. What is the battery current? (include units) d) The switch is closed. What is the difference in electric potential between points a and b? (include units)
An accelerating voltage of 2.71 x 10³ V is applied to an electron gun, producing a beam of electrons originally traveling horizontally north in vacuum toward the center of a viewing screen 32.7 cm away. What is the magnitude of the deflection on the screen caused by the Earth's gravitational field? What is the direction of the deflection on the screen caused by the Earth's gravitational field? O up down O east west m What is the magnitude of the deflection on the screen caused by the vertical component of the Earth's magnetic field, taken as 20.0 μT down? mm What is the direction of the deflection on the screen caused by the vertical component of the Earth's magnetic field, taken as 20.0 μT down? O north O south O east O west Does an electron in this vertical magnetic field move as a projectile, with constant vector acceleration perpendicular to a constant northward component of velocity? O Yes O No Is it a good approximation to assume it has this projectile motion? O Yes No
Q4: Show detailed work and pay attention to the units. There are two different ways to calculate the potential difference across the bar, using the motional EMF expression or Faraday's Law. Show that both methods give the same answer. Use the right hand rule to figure out which end of the bar (A or B) will be at a higher potential due to the motion of the conductor in the field.
9. A conducting bar moves with velocity v near a long wire carrying a constant current / as shown in the figure. The distance of each end of the bar to the wire is given by a and b, respectively. Find the potential difference between the two ends of the bar. b a
A square loop has a charge density λ = |x| at y = ±a and [x]
The switch S, is closed for a long time in the circuit shown. Then, S, is opened and Sz is closed simultaneously. What is the maximum charge that can be stored in E the capacitor? ɛ = 30 V, L = 4 mH, R = 5 0, C = 6 µF LE R None of them 0.65 mC 0.35 mC 0.93 C 0.93 mC 0.65 C 0.35 C
The figure below shows a simplified model of a cardiac defibrillator, device used to resuscitate patients in ventricular fibrillation. S R C Rtorso + When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rorsor allowing the heart's normal rhythm to be reestablished. HINT (a) If the capacitor is initially uncharged with C = 7.25 µF and E = 1240 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 765 V in 1.60 s. (b) If the capacitor is then discharged across the patient's torso with Rorso = 123o n, calculate the voltage (in V) across the capacitor after 7.00 ms. V
The figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation. R C Riorso + When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rorso allowing the heart's normal rhythm to be reestablished. HINT (a) If the capacitor is initially uncharged with C = 8.25 µF and E = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 795 V in 1.20 s. 3.904*10**-6 (b) If the capacitor is then discharged across the patient's torso with Rorso = 1240 0, calculate the voltage (in V) across the capacitor after 4.50 ms. 512.06 V
A biophysics experiment uses a very sensitive magnetic field probe to determine the current associated with a nerve impulse traveling along an axon. If the peak field strength 1.0 mm from an axon is 8.0 pT, what is the peak current carried by the axon?