Calculate the energy associated with the magnetic field of a 175-turn solenoid in which a current of 2.25 A produces a magnetic flux of 3.81 x 10-4 T · m2 in each turn.
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Calculate the energy associated with the magnetic field of a 175-turn solenoid in which a current of 2.25 A produces a magnetic flux of 3.81 x 10-4 T · m2 in each turn.
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- In a solenoid in vacuum of length l = 10 cm with 2052 turns per meter the current creates the field B = 70 µT. What will be the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid? Assume µo = 4Tt × 10¬7 H/m and give your answer in milli-amperes (mA).A long solenoid that has 1 130 turns uniformly distributed over a length of 0.380 m produces a magnetic field of magnitude 1.00 x 104 T at its center. What current is required in the windings for that to occur? mAFor a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 5.10 2 and the magnetic field of the solenoid with a current of 3.10 A should be 5.90 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 1080 m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cm
- A solenoid that is 92.1 cm long has a cross-sectional area of 19.7 cm2. There are 1240 turns of wire carrying a current of 5.79 A. (a) Calculate the energy density of the magnetic field inside the solenoid. (b) Find the total energy in joules stored in the magnetic field there (neglect end effects).A long solenoid that has 820 turns uniformly distributed over a length of 0.390 m produces a magnetic field of magnitude 1.00 x 10-4 T at its center. What current is required in the windings for that to occur? mAHow much energy is stored in the magnetic field of a 20.0-cm-long solenoid that has 156 turns and a radius of 0.950 cm and carries a current of 1.65 A?
- A generator is designed to produce a maximum emf of 190 V while rotating with an angular speed of 3600 rpm . Each coil of the generator has an area of 1.8×10−2 m2 . If the magnetic field used in the generator has a magnitude of 4.3×10−2 T , how many turns of wire are needed? Express your answer using two significant figures.Find the flux of the Earth's magnetic field of magnitude 5.00 ✕ 10-5 T, through a square loop of area 30.0 cm2 for the following. (a) when the field is perpendicular to the plane of the loop T·m2(b) when the field makes a 30.0° angle with the normal to the plane of the loop T·m2(c) when the field makes a 90.0° angle with the normal to the plane T·m2Asap
- A long solenoid that has 1 040 turns uniformly distributed over a length of 0.380 m produces a magnetic field of magnitude 1.00 x 10 T at its center. What current is required in the windings for that to occur? mAA long solenoid has m = 400 turns per meter. Inside the solenoid and coaxial with it, there is a coil that has a radius of R = 6.00 cm and consists of a total of N = 250 turns of fine wire. (Hint: From Ampere's law the magnetic field of solenoid at the central part is B = number of turns per unit length and Ho HonI where n is the = 4n x 10 7 T.m/A). a) Assume that the resistance of R is decreased while the switch remains closed. Then, the current in the solenoid is increasing at a rate of 10 A/s. i. What emf is induced in the coil by the changing current? hpYou wish to construct a solenoid with a diameter of 2.00 cm that will produce a magnetic field of 3.40 x 10-2T at its center when a current of 12.0 A is passing through the coils. You want the resistance of the coil wire to be 5.80 N. The resistivity of the wire used is 1.70 x 10-8 N •m (at 20.0°C), and you are using a wire that has a cross sectional area of 3.14 × 10-8 m2. (Note that this solenoid may not necessarily be so tightly wound that the adjacent loops of wire will touch each other. Nonetheless, you may assume that it behaves like an ideal solenoid.) Determine the following. (a) number of turns needed on the solenoid turns (b) length of the solenoid