Apotential energy function is given by u(x)=(3.00j)x+(1.00j/m2)x3. what is the force function f(x) (in newtons) that is associated with this potential energy function?

Given potential energy as a function of time is

now for all conservative forces we know that

now we will differentiate the potential energy with respect to x

so now we will have

now we will have

so the force associated with the given potential energy is given as

adding a(n) to an electric circuit would increase the magnetic field around a wire;

b. solenoid

a solenoid is a type of electromagnet whose purpose is to generate a controlled magnetic field.

if the purpose of the solenoid is instead to impede changes in the electric current, a solenoid can be more specifically classified as an inductor rather than an electromagnet.

elctricity and magnet is conversion to it