The given problem involves a dipole placed in an electric field. To determine the direction in which the dipole will move, we need to consider the behavior of a dipole in an electric field.
When a dipole is placed in an electric field, the dipole experiences a torque that tends to align it with the field. The potential energy of the dipole in an electric field is given by:
U = -p · E
Where:
The dipole will move towards the direction where its potential energy decreases. This happens when the dipole rotates to align with the electric field, minimizing its potential energy.
In this case, as the dipole aligns with the electric field, it moves towards the right, where the potential energy is lower.
Final Answer:
The dipole will move towards the right as its potential energy will decrease.
Charges are uniformly spread on the surface of a conducting sphere. The electric field from the center of the sphere in a point outside the sphere varies with distance \( r \) from the center as 
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.
An electric dipole is a pair of equal and opposite point charges -q and q, separated by a distance of 2a. The direction from q to -q is said to be the direction in space.
p=q×2a
where,
p denotes the electric dipole moment, pointing from the negative charge to the positive charge.
