You are working for a scientific supply company. Your particular project involves the design of electronic balances. The figure below shows the measuring section of one type of electronic balance. AV R H x x x x x x x 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 = 0.900 T. When an object is placed on the pan of the baland 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 t determine the weight of the object. When there is no weight on the pan, th 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 AV = 22.0 V. Your task is to determine the value of the resistance (in 2) of the circuit to assure that the power supply meets these design criteria. Ω

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You are working for a scientific supply company. Your particular project involves the design of electronic balances. The figure below shows the measuring section of one type of electronic balance.
AV
x
R
x
+
x
Bin
x
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 = 0.900 T. When an object is placed on the pan of the balanc
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, thi
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 AV = 22.0 V. Your task is to determine the value of the resistance
(in 2) of the circuit to assure that the power supply meets these design criteria.
Transcribed Image Text:You are working for a scientific supply company. Your particular project involves the design of electronic balances. The figure below shows the measuring section of one type of electronic balance. AV x R x + x Bin x 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 = 0.900 T. When an object is placed on the pan of the balanc 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, thi 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 AV = 22.0 V. Your task is to determine the value of the resistance (in 2) of the circuit to assure that the power supply meets these design criteria.
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