Help with part b electro magnetism phsics 2 tem 12 You have 10 m of 0.48 mm -dia

Question

Help with part b electro magnetism phsics 2

tem 12 You have 10 m of 0.48 mm -diameter copper wire and a battery capable of passing 22 A through the wire. What magnetic field strength could you obtain inside a 2.5 cm -diameter solenoid wound with the wire as closely spaced as possible, with a single layer of turns? Express your answer using two significant figures. B 5.8x10-2 T Submit My Answers Give Up Correct Significant Figures Feedback: Your answer .057 T was either rounded differently or used a different number of significant figures than required for this part. Part B What magnetic field strength could you obtain at the center of a single circular loop made from the wire? Express your answer using two significant figures. AE B 2.76 10 T Submit My Answers Give U incorrect; Try Again; 2 attempts remaining

Explanation / Answer

PART A

The length of a solenoid, with one layer of N turns of closely spaced wire of diameter d, is l = Nd, so the number of turns per unit length is

n = l = (d)^-1 = (0.48)^-1 = 2083.3 m^-1

B = uonI = 4pi x 10^-7 x 2083.3 x 22 = 5.76 x 10^-2 T

PART B

The magnetic field at the center of a flat, circular current loop can be

B = uoI = 2a

here, 2pia = 10m

comparing these equations

B x 10 = 4 x (pi)^2 x 10^-7 x 22

B = 8.676 x 10^-6 T

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