| Grade Summary Submissions Problem 5: Since moving charges create magnetic fiel
ID: 1769288 • Letter: #
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Problem 5: Since moving charges create magnetic fields, and magnetic fields exert forces on moving charges, devices which are used to measure field strengths often affect the system they are being used to measure. Consider the wire segment in the figure, which is used to measure the magnetic field B by determining the force exerted on the current flowing through it.Randomized VariablesI = 3 A 50% Part (a) Estimate the field the loop creates by calculating the field at the center of a circular loop 20.0 cm in diameter carrying 3 A. B =
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Attempts remaining: 3 (4% per attempt) detailed view Hints: 3% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback. 50% Part (b) What is the smallest field strength this loop can be used to measure, if its field should alter the measured field by less than 0.0100%? Problem 5: Since moving charges create magnetic fields, and magnetic fields exert forces on moving charges, devices which are used to measure field strengths often affect the system they are being used to measure. Consider the wire segment in the figure, which is used to measure the magnetic field B by determining the force exerted on the current flowing through it. Randomized VariablesI = 3 A Part (a) Estimate the field the loop creates by calculating the field at the center of a circular loop 20.0 cm in diameter carrying 3 A. 50% Part (b) What is the smallest field strength this loop can be used to measure, if its field should alter the measured field by less than 0.0100%?Explanation / Answer
a)
r=d/2 =10 cm
Mangetic field at center of wire
B=uo*I/2r
B=(4pi*10-7)*3/2*(0.1)
B=1.885*10-5 T
b)
B=1.885*10-5/(0.01/100)
B=0.1885 T
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