(14%) Problem 5: Since moving charges create magnetic fields and magnetic fields

Question

(14%) Problem 5: Since moving charges create magnetic fields and magnetic fields exert forces on moving charges, devices that 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 by determining the force exerted on the current flowing through it Bout 20.0 cm Otheexpertta.com 50% Part (a) Estimate the field the loop creates by calculating the field strength, in teslas, at the center of a circular loop 20.0 cm in diameter carrying 4.5 A. 50% Part (b) what is the smallest field strength this loop can be used to measure with a 4.5-A current, if its field should alter the measured field by 0.0100% or less? B-2.827 *10 Grade Summary Deductions 10% Potential 90% Submissions sin() cos() | tan() | 7 89 HOME ? Attempts remaining (2% per attemp)

Explanation / Answer

a)

r=d/2 =10 cm

Mangetic field at center of wire

B=uo*I/2r

B=(4pi*10-7)*4.5/2*(0.1)

B=2.827*10-5 T

b)

B=2.287*10-5/(0.01/100)

B=0.2827 T

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