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The on-axis magnetic field strength 10cmfrom a small bar magnet is 5.0μ°Õ.

a. What is the bar magnet’s magnetic dipole moment?

b. What is the on-axis field strength 15 cm from the magnet?

Short Answer

Expert verified

a. magnetic moment is 25mA.m2

b. Magnetic field strength will be1.48μ°Õ.

Step by step solution

01

Part (a) Step 1: Given information

We have given,

magnetic field strength =5μ°Õ

distance = 10cm

We have to find the magnetic moments.

02

Simplify

The magnetic field in of a bar magnet in terms of magnetic moment is given by,

B=μ0μ→2Ï€¸é3μ→=2Ï€¸é3Bμ0μ→=2π×(0.1)3×5×10-64π×10-7=25mA.m2

03

Part (b) Step 1: Given information

We have given,

distance = 15cm

We have to find the magnetic field strength.

04

Simplify

The magnetic field will be

B=μ0μ→2Ï€¸é3B=(4π×10-7)×0.0252π×(0.15)3B=1.48μ°Õ.

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