If E1 be the electric field strength of a short dipole at a point on its axial line and E2 that on the equatorial line at the same distance, then

Question

If E1 be the electric field strength of a short dipole at a point on its axial line and E2 that on the equatorial line at the same distance, then (A) E1=E2 (B) E1=2E2 (C) E2=2E1 (D) None of the above

Tardigrade Admin · Accepted Answer

The electric field strength in end on position, is given by

E_{1} = \frac{1}{4 π ε _{0}} \cdot \frac{2 p}{d ^{3}}

...(i)
Electric field strength on broad side on position or on equatorial position is

E_{2} = \frac{1}{4 π ε _{0}} \frac{p}{d ^{3}}

...(ii)
From Eqs. (i) and (ii), we get

\frac{E _{1}}{E _{2}} = \frac{2}{1}

\Rightarrow E_{1} = 2 E_{2}

Q. If $E_{1}$ be the electric field strength of a short dipole at a point on its axial line and $E_{2}$ that on the equatorial line at the same distance, then

$E_{1} = E_{2}$

$E_{1} = 2 E_{2}$

$E_{2} = 2 E_{1}$

None of the above

Q. If E1​ be the electric field strength of a short dipole at a point on its axial line and E2​ that on the equatorial line at the same distance, then

E1​=E2​

E1​=2E2​

E2​=2E1​

None of the above

The electric field strength in end on position, is given by E1​=4πε0​1​⋅d32p​ ...(i) Electric field strength on broad side on position or on equatorial position is E2​=4πε0​1​d3p​ ...(ii) From Eqs. (i) and (ii), we get E2​E1​​=12​ ⇒E1​=2E2​

Q. If $E_{1}$ be the electric field strength of a short dipole at a point on its axial line and $E_{2}$ that on the equatorial line at the same distance, then

$E_{1} = E_{2}$

$E_{1} = 2 E_{2}$

$E_{2} = 2 E_{1}$