Question

Question 3 (#859685) Equipotential Lines) Which of the following statements is NOT true about equipotential lines? Select the correct answer O All points on an equipotential line are at the same voltage. A positively charged particle loses potential energy as it moves from one equipotential line to another equipotential line of a lower voltage. Your Answer Equipotential lines run perpendicular to the electric field lines on a 2- dimensional surface. For a charged particle on an equipotential line, there is no electrical force acting parallel to the equipotential line. The greater the spacing between equipotential lines, the faster the voltage is changing with position along the perpendicular.

Answer 1

An equipotential line is a line along which the electric potential is constant. Equipotential lines are always perpendicular to electric field lines.

* Hence the first option is correct.

* Relation between electrical potential energy(E) and electrical potential(V) for a charge ' q 'is given by

     

An equipotential line is a line along which the electric potential is constant. Equipotential lines are always perpendicular to electric field lines. Hence the first option is correct. Relation between electrical potential energy (E) and electrical potential (V) for a charge ' q 'is given by increment E = q increment V where, increment denotes the change in quantities Hence, the second option is also correct. This is a 2 - dimensional surface. Hence this option is correct too. F rightarrow = q E rightarrow As electric field lines are always perpendicular to the equipotential surfaces, then for a charged particle there is no electrical force acting parallel to the equipotential lines . Hence the fourth option is correct too. We know that the potential due to a point charge (Q) at a distance ' r ' is given by V = k Q/r (k is a constant) i. e v proportionalto 1/r

Where, denotes the change in quantities

Hence, the second option is also correct.

*

This is a 2 - dimensional surface.

Hence this option is correct too.

* The direction of force will be along the direction of electric field by the relation

.

As electric field lines are always perpendicular to the equipotential surfaces ,then for a charged particle there is no electrical force acting parallel to the equipotential lines .

Hence the fourth option is correct too.

* We know that the potential due to a point charge (Q) at a distance ' r ' is given by

(k is a constant)

i.e.

i.e. potential is decreasing with distance.

For example if you double the distance, potential becomes half of the original.

i.e. if you increase the spacing between the lines the potential will decrease in same proportion ,not faster.

Hence, this is the only incorrect option.

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