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A cell is connected across points …

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A cell is connected across points X and Y of a uniform circular conductor.Prove that the magnetic field at its centre will be zero
  • 1 answers

Gaurav Seth 5 years, 1 month ago

As conductor is connected with the cell , the potential difference across two paths (two possible paths i.e. one upside and one downside path) is same.

V1 = V2

I1R1=I2R2

I1dl1=I2dl2 (as resistivity and area of cross section same )

 

Now, 

field, due to one path, is opposite due to another part. So magnetic field at the center is

 

[sin 90 = 1 , i1dl1  = i2dl2]

= 0 (proved)

 As conductor is connected with the cell , the potential difference across two paths (two possible paths i.e. one upside and one downside path) is same.

V1 = V2

I1R1=I2R2

I1dl1=I2dl2 (as resistivity and area of cross section same )

 

Now, 

field, due to one path, is opposite due to another part. So magnetic field at the center is

 

[sin 90 = 1 , i1dl1  = i2dl2]

= 0 (proved)

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