Q#3 You are standing 20cm directly away from the mid-pointof a long, straight cu

Question

Q#3 You are standing 20cm directly away from the mid-pointof a long, straight current- carrying wire that runs east/west andare experincing a magnetic field B 1 due to the wire. If you wereto move to a new location that is 5cm to the east ofyour initial location and 7cm closer to the wire, you wouldexperience a magnetic field of about (A)B1 (B) 0.588 B1 (C) (1/9) B1 (D) 3.27 B1 (E) 6.1 B1 (A,B) 1.7 B1 (A,C)(1/6) B1 (A,D) 1.54 B1 Q#3 You are standing 20cm directly away from the mid-pointof a long, straight current- carrying wire that runs east/west andare experincing a magnetic field B 1 due to the wire. If you wereto move to a new location that is 5cm to the east ofyour initial location and 7cm closer to the wire, you wouldexperience a magnetic field of about (A)B1 (B) 0.588 B1 (C) (1/9) B1 (D) 3.27 B1 (E) 6.1 B1 (A,B) 1.7 B1 (A,C)(1/6) B1 (A,D) 1.54 B1

Explanation / Answer

The magnetic field from a long straight wire is given by B=0I/(2r) whereI is the current, r is the distance from the axis of thewire (.2m) and0=4x10-7. Therefore, B1=0I/(2(.2)) or .2B1=0I/(2)  ............................................(1) Now movement is East direction has no effect on the field butmoving 7cm or .07m closer gives a field of B=0I/((2)(.20-.07)) .13B=0I/(2) Substituting from (1) we have B=.2B1/,13=1.54B1 So (A.D) is the correct answer,

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