15.A 9x10-11 F capacitor is made up of two circular plates (r=5cm) separated by 1.0mm. Find the necessary dielectric constant for this capacitor. Check your answer below. You must show work or no credit will be given for this problem. Answer = 1.34

the higher the current the higher the mag field around it the higher the influence on the compass

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .