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you are given a solenoid of length 0.6 m and radius 0.08 m. it has 4000 turns of wire with resistance of 0.10 ohms. you wish to generate a magnetic field of 0.15 t. the current to which your power supply should be set is closest to:

User Yasan Glass
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Final answer:

To generate a 0.15 T magnetic field in the given solenoid, the power supply's current should be set to approximately 1.26 A by using the magnetic field formula for solenoids.

Step-by-step explanation:

You are asked to calculate the current needed to set in a power supply to generate a 0.15 T magnetic field in a solenoid with 4000 turns, a length of 0.6 m, and a radius of 0.08 m. To find the current, use the formula for the magnetic field inside a solenoid, which is B = μ_0 (N/I) l, where B is the magnetic field, μ_0 is the permeability of free space (1.26 × 10^{-6} T·m/A), N is the number of turns, I is the current, and l is the length of the solenoid. Solving for I gives I = (μ_0 × N × B) / l. Plugging in the values, we get I = (1.26 × 10^{-6} T·m/A × 0.15 T × 4000) / 0.6 m. Calculating this results in a current of approximately 1.26 A, which is the closest value to what your power supply should be set to in order to generate the desired magnetic field.

User GirishBabuC
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