The field potentail in a certain region of space depends only on the `x` coordinate as `varphi = -ax^(2) + b`, where `a` and `b` are constants. Find the distribution of the space charge `rho (x)`.

The field potentail in a certain region of space depends only on the x coordinate as varphi = -ax^(3) + b , where a and b are constants. Find the distribution of the space charge rho (x) .

Find the partial fractions of (ax+b)/((x-1)^(2)) , where a and b are constants.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

The electric potential V(x) in an electric field depends only on x and V(x) = ax - bx^(3) where a and b are constants. Where on the x-axis will electric field intensity be zero?

What is potential gradient? The electric potential is found to depend on X only and is given by V(x) = ax - bx^2 , where a and b are constants. Find the positions on the X - axis where electric field intensity is zero.

In an electric field, the potential V(x), depending only on the x-coordinate, is given by V(x) = ax -bx^(3) , where a and b are constants, find out the points on the x -axis where the electric field intensity would vanish.

A particles is in a unidirectional potential field where the potential energy (U) of a particle depends on the x-coordinate given by U_(x)=k(1-cos ax) & k and 'a' are constant. Find the physical dimensions of 'a' & k .

A particle of mass m is present in a region where the potential energy of the particle depends on the x-coordinate according to the expression U=(a)/(x^2)-(b)/(x) , where a and b are positive constant. The particle will perform.