Electric field due to circular loop of charge | Electromagnetics

Electric field due to circular loop of charge

Electric field

• The space around a charged particle in which another charge experience a force is known as electric field.
• The source of electric field is either a charge or a time varying magnetic field.
• If the value of electric field does not change with time, then it will be uniform electric field, otherwise it will be non-uniform electric field.

Electric field due to circular loop of charge

• If λ is linear charge density, then the charge on dl
• dq = λ dl     ⇒     dq = (q / 2πa) dl
• Electric field at P due to charge dq

Special cases

• When P lies at the centre of the loop i. e., r = 0, then E = 0
• When P lies very far from the centre of the loop i. e., r >> a, then E = kq / r²
• In this case circular loop behaves as a point charge.

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