4. A circular coil has 275 turns and a radius of 0.045 m. The coil is used as an ac generator by rotating it in a 0.500 T magnetic field, as shown in the figure. At what angular speed should the coil be rotated so that the maximum emf is 175 V? A) 28 rad/s B) 50 rad/s C) 130 rad/s D) 200 rad/s E) 490 rad/s Ans: D
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- 8. In the circuit below, the switch is initially at position a (battery) for a long time. At t = 0 second, the switch is moved to position b. What is the magnetic energy of the inductor at t = 0.02 s? 0.1 Ω . 10-3 H m bo a 10 V7. A generator uses a coil that has 95 turns and a 0.750-T magnetic field. The frequency of this generator is 50.0 Hz, and its emf has an rms value of 220 V (Vms). Assuming that each turn of the coil is circular, determine the length of the wire from which the coil is made. m2. The figure below shows a 99-turn square coil rotating about a vertical axis at at ? = 1,520 rev/min. The length of a side of the coil is 20.0 cm. The horizontal component of the Earth's magnetic field at the coil's location is equal to 2.00 ✕ 10−5 T. a) What is the magnitude of the maximum emf (in mV) induced in the coil by the Earth's magnetic field? mV b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs? The plane of the coil is oriented 45° with respect to the magnetic field. The plane of the coil is perpendicular to the magnetic field. The plane of the coil is parallel to the magnetic field.
- 4. A square circuit has 2 m sides and is perpendicular to a uniform magnetic field, with half the area of the loop in the field, as shown. The loop contains a 9 V voltage source. The magnitude of the magnetic field varies with time, with B = 6 + 5t, where B is the field strength in teslas and t is the time in seconds. (a) Determine the value of the induced emf in the circuit. (b) Which way does the overall current flow in the circuit, clockwise or counter-clockwise? Or is the current zero? Explain why your answer is correct.1. A 500-turn circular coil with an area of 1.54 x 102 m² is perpendicular to a 0.060 T field. The magnetic field changes to 0.020 T in the opposite direction in 0.12 s. B₁ = 0.060 T Initial What is the average emf induced in the coil? ↓ ↓ B = 0.020 T Final4.) In the circuit shown, the initial voltage across the 10 microFarad capacitor is 12V. The solenoid has an inductance of 0.7 H. There is no resistance. a) Find the charge on the capacitor 1.0 millisecond after the switch S is closed. b) At what time will the current in the solenoid reach its maximum value? c) What is the maximum energy stored in the magnetic field of the solenoid?
- 1) thanks for the help17. The magnetic flux through three different coils is changing as shown in Figure P21.17. For each situation, draw a corresponding graph showing quantitatively how the induced emf changes with time. FIGURE P21.17 $(T•m²) 0.4 0.2 0 0 2 4 (T • mỏ) 0.4 0 01234 p(T•mỏ) +0.2 A 1 2 3 t(s) -0.2 -t (s)4. In the middle of the selenoid with a diameter of D = 2 cm, length L= 20 cm and consisting of N1 = 1200 turns there is a small coil with a diameter of d = 1 cm. The length of this small coil is l= 2 cm and consists of N2 = 50 turns a. Calculate the mutual inductance between the coils. b. If the current in the şelenoid changes at a rate of 0.5 A / s, calculate the emf induced ɛ on the small coil.