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,    dΦB 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

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Chapter1: Units, Trigonometry. And Vectors
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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, 
     
    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 + btm where a,b,n,m are numerical values. Example: 12t2 + 72t3
W
Resistance = R
L
B-field into
the screen
Transcribed Image Text:W Resistance = R L B-field into the screen
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