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The maximum strength of the Earth’s magnetic field is about 7.0 x 10-5 T near the south magnetic pole. In principle, this field could be used with a rotating coil to generate 60.0-Hz AC electricity. What is the minimum number of turns (area per turn = 0.016 m2) that the coil must have to produce an rms voltage of 120 V. (Vrms= 1.1107 Vave)
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- The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?In the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.A 50-turn coil has a diameter of 15 cm. The coil is placed in a spatially uniform magnetic field of magnitude 0.50 T so that the face of the coil and the magnetic field are perpendicular. Find the magnitude of the emf induced in the coil if the magnetic field is reduced to zero uniformly in (a) 0.10 s, (b) 1.0 s, and (c) 60 s.
- In an AC generator, the magnetic field between the pole faces of the magnet is uniform and of strength 12 T, while the 400-cm2-area loop has 300 turns. What must be the frequency in Hz of the rotating loop so that the peak voltage from the generator is 100 kvolts? a. 70 Hz b. 90 Hz c. 50 Hz d. 110 Hz e. 130 HzA generator uses a coil that has 360 turns and a 0.37-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf has an rms value of 120 V. Assuming that each turn of the coil is a square (an approximation), determine the length of the wire from which the coil is made.The primary coil of a transformer has N1 = 370 turns, and the secondary coil has N2 = 2 430 turns. If the input voltage across the primary coil is Δv(t) = 170 cos ?t, where Δv is in volts and t is in seconds, what rms voltage is developed across the secondary coil?
- A physics student observes that the current in a coil of conducting wire goes from i1 = 0.200 A to i2 = 1.50 A in a time interval of Δt = 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?A transformer has two sets of coils, the primary with N1 = 190 turns and the secondary with N2 = 925 turns. The input rms voltage (over the primary coil) is ΔV1rms = 258 V. 1. Express the output rms voltage, ΔV2rms, in terms of N1, N2, and ΔV1rms. 2. Calculate the numerical value of ΔV2rms in V.The primary coil of a transformer has N1 = 350 turns, and the secondary coil has N2 = 2 000 turns. If the input voltage across the primary coil is Δυ = 170 cos ωt, where Δυ is in volts and t is in seconds, what rms voltage is developedacross the secondary coil?
- In an oscillating LC circuit, L = 25.0 mH and C = 7.80 mF. At time t 0 the current is 9.20 mA, the charge on the capacitor is 3.80 mC, and the capacitor is charging.What are (a) the total energy in the circuit, (b) the maximum charge on the capacitor, and (c) the maximum current? (d) If the charge on the capacitor is given by q = Q cos(vt + f), what is the phase angle f? (e) Suppose the data are the same, except that the capacitor is discharging at t = 0.What then is f?When a coil is placed in a magnetic field, the coil's normal to the plane stays parallel to the field. Which of the following choices results to the average emf induced in the coil to have the greatest magnitude? a.The magnitude of the magnetic field is large, and it does not change b.The magnitude of the magnetic field is large, and its rate of change is small c.The magnitude of the magnetic field is small, and its rate of change is small d.The magnitude of the magnetic field is small, and its rate of change is largeYou are to design an AC generator that has 800 circular windings, each with a radius of 1.75m. The generator is to produce a peak voltage of 12000V that oscillates with a frequency of 60Hz. What magnetic field should be used to accomplish this?