The horizontal wire of length L = 6.00 cm hangs from two vertically-oriented springs and is immersed in a magnetic field of magnitude Bin = 0.400 T. When an object is placed on the pan of the balance, its weight is applied to a mechanical system that reduces the force by a factor of exactly 1,000. This reduced force is applied directly downward on the horizontal wire. As a result, the wire moves downward, stretching the springs. The variable power source at the upper right is controlled by software and its voltage varies until the magnetic force on the wire pulls it back upward and returns it to the original position, as measured by the springs no longer being stretched. The voltage of the power source is then used to determine the weight of the object. When there is no weight on the pan, the power source voltage is 0. The upper limit of the balance is a mass of m = 1.00 kg, for which the voltage of the power source is to be ΔV = 30.0 V. Your task is to determine the value of the resistance R (in Ω) of the circuit to assure that the power supply meets these design criteria.