A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit withresistance R = 31.0 2 is formed.At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right(+x direction) with constant speed v = 0.10 m/s.The rail is placed in a magnetic field B(t)= -0.030t k, where t is in seconds.t > 0 sX AXB(t)What is the absolute value of the EMF induced in the circuit at time t = 0.60 s?Hints:• Use the product rule if you are taking the time-derivative of the product oftwo functions that both have time dependence: fg• You can should use the velocity to determine how long the rectangular loop isin the x-direction at time t = 0.60 s, but notice that the loop had initial lengthX; = = 0.17 m.di 8 + fdProvide your answer in millivolts, use appropriate symbols. Express your answer withthree significant figures, do not use scientific notation. Using more significant figureswill not be considered incorrect, using fewer may cause errors due to rounding.Your Answer:mvAnswerunits

Given: Length of bar (L) = 0.33 m Constant speed of bar (v) = 0.10 m/s along +x axis Strength of…

A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with resistance R = 31.0 2 is formed. At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right (+x direction) with constant speed v = 0.10 m/s. The rail is placed in a magnetic field B(t) :-0.030t k, where t is in seconds. X X X X X X X X X t > 0 s X AX L B(t) What is the absolute value of the EMF induced in the circuit at time t = 0.60 s? Hints:

A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with resistance R = 31.0 2 is formed. At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right (+x direction) with constant speed v = 0.10 m/s. The rail is placed in a magnetic field B(t) :-0.030t k, where t is in seconds. X X X X X X X X X t > 0 s X AX L B(t) What is the absolute value of the EMF induced in the circuit at time t = 0.60 s? Hints:

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

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 51P

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A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?
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