(20%) Problem 5: Since moving charges create magnetic fields, and magnetic field

Question

(20%) 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 ?,c, e the force exerted on the current flowing through it Randomized Variables I=5A 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 5 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

Given:-

Current,I=5A

Diameter,d=20cm

Radius,r= d/2=10cm=0.10m

B centre= ?oI/2r= 4*3.14*10-7*5/2*0.10= 3.14*10-5 T

Part (a)

Bsmallest= 0.0100%* B centre = 1*10-4* 3.14*10-5 T= 3.14*10-9 T

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