A 600-turn toroid of square cross section has an inner radius of 5 cm and outer radius of 10 cm. The relative permeability of the core is 800. For a current of 12 A in the coil, calculate (a) the energy density, (b) the stored energy, and (c) the inductance of the toroid.
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- A physics student observes that the current in a coil of conducting wire goes from i, = 0.200 A to i, = 1.50 A in a time interval of At = 0.350 s. Assuming the coil's inductance is L = 5.00 mH, what is the magnitude of the average induced emf (in mV) in the coil for this time interval?.Two coils are placed close to each other and have a mutual inductance of 150 µH. The current through one coil is given by, I(t)=5sin(1000t). Estimate the time when the emf will be maximum on the second coil.
- Two coils have a mutual inductance M = 0.0311 H, while the first coil has self- inductance L₁ = 0.0251 H. If the current through the first coil is changing at a rate di₁/dt = 2.32 A/s and the current through the second coil is changing at a rate di2/dt = 4.09 A/s, what is the magnitude of the EMF in the first loop? V INA 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. Acoil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. Themutual inductance of the coil and solenoid is 31 μH. At a given instant, the current in thesolenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is themagnitude of the induced current in the coil? (μ0 = 4pi × 10^-7 T · m/A)The heating coils in a hair dryer are 0.87 cm in diameter, have a combined length of 0.8 m, and a total of 480 turns. (a) What is their total self-inductance assuming they act like a single solenoid? (b) How much energy is stored in them when 6.5 A flows?
- A toroid of square cross section has inner radius r₁ = 0.040 m and outer radius r2 = 0.070 m. If it has N = 200 loops, calculate the total magnetic energy in the toroid if the current is i = 3.0 A. This may be done by finding the inductance, or by integrating the magnetic energy density. ○ 1.3 × 10-4 J ○ 2.0 × 10-3 J ○ 9.1 x 10-6 J ○ 6.0 × 10-4 JA coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10−3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?