A given charge situated at a certain distance from an electric dipole in the end on position, experiences a force F. If the distance of the charge is doubled, the force acting on the charge will be :

Question

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Answer 1

Hint: Use formula of force on the particle by dipole

Explanation:
Step 1: Formula used:
Force on particle by dipole is given by the formula:
$F = q E$
$∴$ Electric filed due to dipole on axial condition is given by:
$E = \frac{K 2 P}{r ^{3}}$

$F = \frac{K q 2 P}{r ^{3}}$
$F \propto \frac{1}{r ^{3}}$

Step 2: Conclusion:

So, force is proportional to the cube of distance inversely.
If the distance is doubled, then force will be $\frac{1}{8}$ time of the original force.
Answer:

Hence, option A is the correct answer.

Answer 2

Hint: Use formula of force on the particle by dipole

Explanation:
Step 1: Formula used:
Force on particle by dipole is given by the formula:
$F = q E$
$∴$ Electric filed due to dipole on axial condition is given by:
$E = \frac{K 2 P}{r ^{3}}$

$F = \frac{K q 2 P}{r ^{3}}$

$F \propto \frac{1}{r ^{3}}$

Step 2: Conclusion:

So, force is proportional to the cube of distance inversely.

If the distance is doubled, then force will be $\frac{1}{8}$ time of the original force.

Answer:

Hence, option A is the correct answer.

A given charge situated at a certain distance from an electric dipole in the end on position, experiences a force F. If the distance of the charge is doubled, the force acting on the charge will be :

F/8

F/4

F/2

2F

Two equal charges $‘ q ’$ of opposite sign are separated by a small distance $‘ 2 a ’$ . The electric intensity $‘ E ’$ at a point on the perpendicular bisector of the line joining the two charges at a very large distance $‘ r ’$ from the line is :

Two equal charges $‘ q ’$ of opposite sign are separated by a small distance $‘ d ’$ . The electric intensity $‘ E ’$ at a point on the straight line passing through the two charges at a very large distance $‘ r ’$ from the midpoint of two charges is :

A given charge q is situated at a certain distance from a small electric dipole in the end on position experiences a force F. If the distance of the charge is doubled, the force acting on the charge will become :

If a charged body experiences a force of repulsion of magnitude $F$ from a charge of $q_{0}$ , the electric field $E$ of the charged body at a point lying not in between the $2$ charges but on the same line joining two charges, is :

The electric field at a point at a distance $r$ from an electric dipole is proportional to :

Revise with Concepts

Field Due to Electric Dipole

Torque on a Dipole Placed in an Electric Field

A given charge situated at a certain distance from an electric dipole in the end on position, experiences a force F. If the distance of the charge is doubled, the force acting on the charge will be :

F/8

F/4

F/2

2F

Two equal charges ‘q’ of opposite sign are separated by a small distance ‘2a’. The electric intensity ‘E’ at a point on the perpendicular bisector of the line joining the two charges at a very large distance ‘r’ from the line is :

Two equal charges ‘q’ of opposite sign are separated by a small distance ‘d’. The electric intensity ‘E’ at a point on the straight line passing through the two charges at a very large distance ‘r’ from the midpoint of two charges is :

A given charge q is situated at a certain distance from a small electric dipole in the end on position experiences a force F. If the distance of the charge is doubled, the force acting on the charge will become :

If a charged body experiences a force of repulsion of magnitude F from a charge of q0​, the electric field E of the charged body at a point lying not in between the 2 charges but on the same line joining two charges, is :

The electric field at a point at a distance r from an electric dipole is proportional to :

Revise with Concepts

Field Due to Electric Dipole

Torque on a Dipole Placed in an Electric Field

Two equal charges $‘ q ’$ of opposite sign are separated by a small distance $‘ 2 a ’$ . The electric intensity $‘ E ’$ at a point on the perpendicular bisector of the line joining the two charges at a very large distance $‘ r ’$ from the line is :

Two equal charges $‘ q ’$ of opposite sign are separated by a small distance $‘ d ’$ . The electric intensity $‘ E ’$ at a point on the straight line passing through the two charges at a very large distance $‘ r ’$ from the midpoint of two charges is :

If a charged body experiences a force of repulsion of magnitude $F$ from a charge of $q_{0}$ , the electric field $E$ of the charged body at a point lying not in between the $2$ charges but on the same line joining two charges, is :

The electric field at a point at a distance $r$ from an electric dipole is proportional to :