Q1. The figure below shows the cross-sectional view of an ideal solenoid with n turns per unit length and a radius R. At some instant in time, the current through the coil is increasing at a rate didt and the instantaneous value of the current is i going clockwise as viewed in this picture. A point charge +Q is located as shown at a distance R, from the axis of the solenoid. +Q R Your aim is to use Faraday's Law to determine the instantaneous force experienced by the charge Q. The following steps are meant to help you work through the necessary reasoning. (a) First, determine the instantaneous magnetic field B(r) created by the solenoid. (Note: you may use Ampere's Law to derive this, or refer to the result derived in your textbook or lecture notes). Be sure to write explicitly: what is the magnitude and direction of B(r) for r R? (b) Next, imagine a circular path of radius R, concentric with the solenoid and determine the instantaneous magnetic flux through the area enclosed by this circle. From this, then determine the instantaneous rate of change of magnetic flux through this area with time