Shown in the figure below is a rectangle of wire immersed in a magnetic field. The rectangle has length L = 2 meters, width w = 2 meters, and a resistance of R = 7.02 N. The magnetic field varies with time according to the equation: B(t) = 5t3 + 2t4 As a result of the varying field, a voltage and current will be established in the loop. L Resistance = R B-field into the screen Answer all of the following: dB • What is the FORMULA for the rate of change of magnetic field with time, dt dB • What is the FORMULA for the rate of change of magnetic flux with time, dt

Shown in the figure below is a rectangle of wire immersed in a magnetic field. The rectangle has length L = 2 meters, width w = 2 meters, and a resistance of R = 7.02 N. The magnetic field varies with time according to the equation: B(t) = 5t3 + 2t4 As a result of the varying field, a voltage and current will be established in the loop. L Resistance = R B-field into the screen Answer all of the following: dB • What is the FORMULA for the rate of change of magnetic field with time, dt dB • What is the FORMULA for the rate of change of magnetic flux with time, dt

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Shown in the figure below is a rectangle of wire immersed in a magnetic field. The rectangle has length L = 2 meters, width w
= 2 meters, and a resistance of R = 7.02 N. The magnetic field varies with time according to the equation:
B(t)
5t3 + 2t4
As a result of the varying field, a voltage and current will be established in the loop.
L
Resistance = R
B-field into
the screen
Answer all of the following:
dB
• What is the FORMULA for the rate of change of magnetic field with time,
dt
• What is the FORMULA for the rate of change of magnetic flux with time,
dt
• What is the voltage in the circuit at t=1.2 seconds?
Volts
What is the current in the circuit at this same time?
Amps
NOTE:
• Make all formulas POSITIVE (field and flux).
• Make all values POSITIVE (voltage and current).
Format your equations as atn + bt™ where a,b,n,m are numerical values. Example: 12t2 + 72t3

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