Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 28, Problem 60P
(a)
To determine
The current at
(b)
To determine
The current at
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A circular loop of wire (radius =2.0cm , resistance =7.8 ohms ) is placed in a uniform magnetic field that makes an angle of 30 degrees with the plane of the loop. The magnitude of the field changes with time according to B = 70sin(30t)mT , where t is measured in seconds. Determine the magnitude of the current induced in the loop at t = pi/30 s .
A coil consists of 25 loops of wire and has a diameter of 10 cm. Its resistance is 0.1Ω. At t=0 it lies perpendicular to a 0.5 T magnetic field (that is to say, the normal to the plane of the coil is parallel to the field direction) and the coil begins to rotate at 30 rad/s. Find the emf of induced in the coil and the current that flows as a function of time.
The magnetic field between the poles of the electromagnet is uniform at any time, but its magnitude is increasing at therate of 0.020 T/s. The area of the conducting loop in the field is 120 cm 2 and the total circuit resistance is 5.0Ω. Findthe induced emf and the induced current in the circuit.
Chapter 28 Solutions
Physics for Scientists and Engineers
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- Show that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardA toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound uniformly with 1000 turns. A second toroidal coil of 750 turns is wound uniformly over the first coil. Ignoring the variation of the magnetic field within a toroid, determine the mutual inductance of the two coils.arrow_forwardDesign a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forward
- A square wire loop 20 cm on a side, with resistance20 m , has its plane normal to a uniform magnetic field of magnitudeB = 2.0 T. If you pull two opposite sides of the loop awayfrom each other, the other two sides automatically draw towardeach other, reducing the area enclosed by the loop. If the area is reducedto zero in time t = 0.20 s, what are (a) the average emf and(b) the average current induced in the loop during t?arrow_forwardAn air-filled toroidal solenoid has a mean radius of 15.0 cm and a cross-sectional area of 5.00 cm2. When the current is 12.0 A, the energy stored is 0.390 J. How many turns does the winding have?arrow_forwardA square loop of side 10 cm and resistance 0.5 Ω is placed vertically in the east-west plane. A uniform magnetic field of 0.10 T is set up across the plane in the north-east direction. The magnetic field is decreased to zero in 0.70 s at a steady rate. Determine the magnitudes of induced emf and current during this time-interval.arrow_forward
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