Question 482: Electrostatics & Capacitance

Question

Two electric dipoles, A, B with respective dipole moments $${\overrightarrow d _A} =  - 4qai$$ and $${\overrightarrow d _B} =  - 2qai$$ are placed on the x-axis with a separation R, as shown in the figure. The distance from A at which both of them produce the same potential is -

Accepted Answer

V $$ = {{4qa} \over {\left( {R + x} \right)}} = {{2qa} \over {\left( {{x^2}} \right)}}$$
$$\sqrt 2 x = R + x$$
$$x = {R \over {\sqrt 2  - 1}}$$
dist $$ = {R \over {\sqrt 2  - 1}} + R = {{\sqrt 2 R} \over {\sqrt 2  - 1}}$$

Answer

$${{\sqrt 2 R} \over {\sqrt 2  + 1}}$$

Answer

$${R \over {\sqrt 2  + 1}}$$

Answer

$${{\sqrt 2 R} \over {\sqrt 2  - 1}}$$

Answer

$${R \over {\sqrt 2  - 1}}$$

Electrostatics & Capacitance

Two electric dipoles, A, B with respective dipole moments ${\overrightarrow d _A} = - 4qai and {\overrightarrow d _B} = - 2qai$ are placed on the x-axis with a separation R, as shown in the figure. The distance from A at which both of them produce the same potential is -

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