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

• Total electric field at P

• Due to symmetry

and   dE_x = dE cos θ

In ΔCPO,  cos θ = r / x

{since  x² = r² + a²}

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.

To know in detail about the Electric field due to circular loop of charge please click on the link or click on the link.