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 = 7.97 Ω. The magnetic field varies with time according to the equation:B(t) = 5t2 + 2t5As a result of the varying field, a voltage and current will be established in the loop.Answer all of the following:What is the FORMULA for the rate of change of magnetic field with time, dBdt = What is the FORMULA for the rate of change of magnetic flux with time, dΦBdt = What is the voltage in the circuit at t=1.1 seconds? VoltsWhat is the current in the circuit at this same time? AmpsNOTE:Make all formulas POSITIVE (field and flux).Make all values POSITIVE (voltage and current).Format your equations as atn + btm where a,b,n,m are numerical values. Example: 12t2 + 72t3 WResistance = RLB-field intothe screen

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Answered: Shown in the figure below is a…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 5.2CYU: Check Your Understanding What would be different if q1 were negative?

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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 = 7.97 Ω. The magnetic field varies with time according to the equation:

B(t) = 5t² + 2t⁵

As a result of the varying field, a voltage and current will be established in the loop.

Answer all of the following:

What is the FORMULA for the rate of change of magnetic field with time,

dB

dt

=
What is the FORMULA for the rate of change of magnetic flux with time,

dΦ_B

dt

=
What is the voltage in the circuit at t=1.1 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^m where a,b,n,m are numerical values. Example: 12t² + 72t³

W
Resistance = R
L
B-field into
the screen

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