Question 908: Electrostats & Capacitance

Question

Six charges +q, $$-$$q, +q, $$-$$q, +q, and $$-$$q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is
($${\varepsilon _0}$$ - permittivity of free space)

Accepted Answer

Work done $$ = {q_0}\,.\,({V_0} - {V_\infty })$$
$$ = \left\{ {{{3kq} \over d} + \left( {{{ - 3kq} \over d}} \right)} \right\}{q_0}$$
= Zero

Answer

$${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {6 - {1 \over {\sqrt 2 }}} \right)$$

Answer

Zero

Answer

$${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}$$

Answer

$${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {3 - {1 \over {\sqrt 2 }}} \right)$$

Electrostats & Capacitance

Six charges +q, $-q, +q, -q, +q, and -q are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge q0 to the centre of the hexagon from infinity is ({\varepsilon _0}$ - permittivity of free space)

Choose the correct answer: