A solenoid is made with a superconducting material and the magnetic field inside it is measured to be 6.8 T. Estimate the magnetic energy density in the field.
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- The device shown in the figure allows you to measure the rate of blood flow in the vessels of the human body, since the blood contains electrically charged ions. Suppose that the blood vessel measures 2.0 mm in diameter, that the magnetic field is 0.080 T and that the fem measurement is 0.10 mV. Is this statement True or False? N S Voltímetro(a) What is the maximum torque on a 150-turn square loop of wire 18.0 cm on a side that carries a 50.0 A current in a 1.60T field? (b) What is the torque when 0 is 10.9°? Ans:388.8 Nm 73 52 NmQUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero
- or the future Electron Ion Collider (EIC) a proposed magnet for the detector is a solenoid with the following properties: B = 3 Tesla (assume uniform inside, 0 outside) Length L = 4.0 m Inner Radius R = 1.5 m Use the long thin solenoid approximation of uniform field, even though this is a short squat solenoid A). Assuming the coil has radius R = 1.5 m, what is the current density (Amp per unit length) B) Calculate the total stored energy in the magnetic field, in Joules. Given that 1 gallon of gasoline contains about 10 8 Joules of chemical energy is this a large, medium, or small amount of stored energy? C) The coil would be superconducting. If the coil were to suddenly lose it's superconductivity and the magnetic field ramped down extremely rapidly, where would the stored energy go?An aluminum bar moves with a speed 2m/s between two copper roads in a magnetic field of 2T as indicated on the figure. The distance between the cooper roads is 10m. The aluminum bar is always in contact with cooper roads and moves without friction. A voltmeter is coupled between the roads. What is the potential measured by the voltmeter (in volt), if the resistance of the rods and aluminum bar are consider to be negligible?The small currents in axons corresponding to nerve impulses produce measurable magneticfields. A typical axion carries a peak current of 0. 040 μA. What is the strength of the field at a distanceof 0.9 mm?
- Motional EMF Below is a rectangle that is being pulled into a magnetic field as shown. The rectangle has a height of h = 0.400 m and is being pulled to the right with a velocity of v = 188.0 m/s. This magnetic field starts where shown, so the left most side of the rectangle has no magnetic field. There is 1 loop with a total resistance of R = 15.40 Ohms. The magnetic field has a magnitude of B = 34.0 mT. That means as the loop moves to the right, the magnetic flux inside the loop is increasing. Magnetic Field (out of the page) Direction of velocity What is the induced current within the wire in this system? (Use a negative sign for clockwise current) Make sure to give your answer with appropriate significant figures and remember that you are looking for a magnitude. Your Answer: Answer units HeightThe figure shows four currents. The value of the line integral of the magnetic ficld B over the closed loop B.dl is 1°ri 8Ben coils a wire to create a solenoid that is 25-cm long with 300 turns. Mak coils a wire to create a solenoid that is 10-cm long with 200 turns. They place their solenoids in otherwise identical circuits so that the steady-state current is the same for each solenoid. Determine the ratio of the magnetic fields of the two solenoids BPh/BF.