A 52.5-turn circular coil of radius 4.90 cm can be oriented in any direction in a uniform magnetic field having a magnitude of 0.465 T. If the coil carries a current of 26.3 mA, find the magnitude of the maximum possible torque exerted on the coil.

Explanation:

Given :

No. of turns

Radius of circular coil m

Magnetic field T

Current A

For maximum torque,

 τ =

Where area of coil =

For maximum possible torque ,

    τ =

    τ = N

connect the batteries in series and hope

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 .