Problem Description A cart is being pulled so that it moves at a constant speed of 0.3 m/s. It goes from a region where there is no magnetic field to a region of uniform B-field with a magnitude of 0.5 T. The B-field is oriented perpendicular to the direction the cart is moving. Attached to the cart is a square loop of wire with 12.0 cm long sides and a 3.0 Q lightbulb. The loop is oriented so that the face of the loop is perpendicular to the external B-field. Neglect the resistance of the wires themselves. Instructions In a neat and organized fashion, write out a solution which includes the following: 1. A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch. Hint: orient the external B-field into or out of the page to make drawing your sketch easier. 2. Draw qualitative graphs showing the emf across the loop and the current through the loop over time as the cart first enters and then exits the B-field on the far side. Indicate which direction around the loop represents positive current. 3. Determine (a) the induced emf across the lightbulb and (b) the current through the lightbulb as the cart enters the B-field. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. 4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.
Problem Description A cart is being pulled so that it moves at a constant speed of 0.3 m/s. It goes from a region where there is no magnetic field to a region of uniform B-field with a magnitude of 0.5 T. The B-field is oriented perpendicular to the direction the cart is moving. Attached to the cart is a square loop of wire with 12.0 cm long sides and a 3.0 Q lightbulb. The loop is oriented so that the face of the loop is perpendicular to the external B-field. Neglect the resistance of the wires themselves. Instructions In a neat and organized fashion, write out a solution which includes the following: 1. A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch. Hint: orient the external B-field into or out of the page to make drawing your sketch easier. 2. Draw qualitative graphs showing the emf across the loop and the current through the loop over time as the cart first enters and then exits the B-field on the far side. Indicate which direction around the loop represents positive current. 3. Determine (a) the induced emf across the lightbulb and (b) the current through the lightbulb as the cart enters the B-field. Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. 4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.
Transcribed Image Text:Problem Description
A cart is being pulled so that it moves at a constant speed of 0.3 m/s. It goes from a region where there is no magnetic field to a region
of uniform B-field with a magnitude of 0.5 T. The B-field is oriented perpendicular to the direction the cart is moving. Attached to the
cart is a square loop of wire with 12.0 cm long sides and a 3.0 Q lightbulb. The loop is oriented so that the face of the loop is
perpendicular to the external B-field. Neglect the resistance of the wires themselves.
Instructions
In a neat and organized fashion, write out a solution which includes the following:
1. A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and
final state, both of these states should be represented in your sketch. Hint: orient the external B-field into or out of the page to
make drawing your sketch easier.
2. Draw qualitative graphs showing the emf across the loop and the current through the loop over time as the cart first enters and
then exits the B-field on the far side. Indicate which direction around the loop represents positive current.
3. Determine (a) the induced emf across the lightbulb and (b) the current through the lightbulb as the cart enters the B-field. Clearly
show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both
what you did and the thought process behind why you did that.
4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign,
and units) in your evaluation.
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