Question

A rectangular coil has side a = 0.055 m, b = 0.095 m, and resistance R=85Ω. It moves into a magnetic field with magnitude B = 0.45 T with speed v= 8.5 m/s.


A rectangular coil has side a = 0.055 m, b = 0.095 m, and resistance R=85Ω. It moves into a magnetic field with magnitude B = 0.45 T with speed v= 8.5 m/s.

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Part (a) As the coil enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables and t, the time since the right side of the loop first entered the field. 

Part (b) Express the magnitude of the emf, s, induced in the loop in terms of B, a, and v.

Part (c) Calculate the numerical value of the emf in V. 

Part (d) Express the current induced in the loop, I, in terms of e and R. 

Part (e) Calculate the numerical value of I in A. 

Part (f) What's the direction of the current? 

Part (g) Following a similar procedure, calculate the magnitude of the current produced in the coil as it leaves the magnetic field in A. It leaves the magnetic field with the same speed. 

Part (h) What's the direction of the current?  

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Answer #1

Use the definition of magnetic flux and Faraday’s law of electromagnetic induction to find the required solution as shown below

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