1 Temperature And Heat 2 The Kinetic Theory Of Gases 3 The First Law Of Thermodynamics 4 The Second Law Of Thermodynamics 5 Electric Charges And Fields 6 Gauss's Law 7 Electric Potential 8 Capacitance 9 Current And Resistance 10 Direct-current Circuits 11 Magnetic Forces And Fields 12 Sources Of Magnetic Fields 13 Electromagnetic Induction 14 Inductance 15 Alternating-current Circuits 16 Electromagnetic Waves Chapter14: Inductance
Chapter Questions Section: Chapter Questions
Problem 14.1CYU: Check Your Understanding. A current I(t)=(5.0A)sin((200rad/s)t) flows through the solenoid of part... Problem 14.2CYU: Check Your Understanding. Current flows through the inductor in Figure 14.8 from B to A instead of... Problem 14.3CYU: Check Your Understanding. A changing current induces an emf of 10 V across a 0.25-H inductor. What... Problem 14.4CYU: Check Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with... Problem 14.5CYU: Check Your Understanding (a) What is the magnetic flux through one turn of a solenoid of self-... Problem 14.6CYU: Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current... Problem 14.7CYU: Check Your Understanding Verify that RC and L/R have the dimensions of time. Problem 14.8CYU: Check Your Understanding (a) If the current in the circuit of in Figure 14.12(b) increases to 909 of... Problem 14.9CYU: Check Your Understanding For the circuit of in Figure 14.12(b), show that when steady state is... Problem 14.10CYU: Check Your Understanding The angular frequency of the oscillations in an LC circuit is 2.0103rad/s .... Problem 14.11CYU: Check Your Understanding In an RLC circuit, L = 5.0 mH, C=60F , and R=200 . (a) Is the circuit under... Problem 1CQ: Show that N m /l and el(dl/dt), which are both expressions for se1f-inductance, have the same... Problem 2CQ: A 10-H inductor carries a current of 20 A. Describe bow a 50-V emf can be induced across it. Problem 3CQ: The ignition circuit of an automobile is powered by a 12-V battery. How are we able generate large... Problem 4CQ: When the current through a large inductor is interrupted with a switch, an are appears across the... Problem 5CQ: Does self-inductance depend on the value of the magnetic flux? Does depend on the current through... Problem 6CQ: Would the self-inductance of a 1.0 m long, tightly wound solenoid differ from the self-inductance... Problem 7CQ: Discuss how you might determine the-inductance per unit length of a long, straight wire. Problem 8CQ: The self-inductance of a coil is zero if there is no current passing through the windings. True or... Problem 9CQ: How does the self- inductance per unit length near the center of a solenoid (away from the ends)... Problem 10CQ: Solve that I I 2 /2 has units of energy. Problem 11CQ: Use Lenz’s law to explain why the initial current in the RL circuit of Figure 14.12(b) is aero. Problem 12CQ: When the current in the RL circuit of Figure 14.12(b) reaches its final value /R, what is the... Problem 13CQ: Does the time required for the current in an RL circuit to reach any fraction of its steady-state... Problem 14CQ: An inductor is connected across the terminals of a battery. Does the current stance of the battery?... Problem 15CQ: At what time is the voltage across the inductor of the RL circuit of Figure 14.12(b) a maximum? Problem 16CQ: In the simple RL circuit of Figure 14.12(b), can the emf induced across the inductor ever be greater... Problem 17CQ: If emf of the battery of Figure 14.12(b) is reduced by a factor of 2, by how much does the... Problem 18CQ: A steady current flows through a circuit with a large induct3ve time constant. When a switch in the... Problem 19CQ: Describe how the currents through R1and R2, shown below vary with time after switch S is closed. Problem 20CQ: Discuss possible practical applications of RL circuits. Problem 21CQ: Do Kirchhoff’s rules apply to circuits that contain inductors and Capacitors? Problem 22CQ: Can a circuit e1eent have both capacitance and inductance? Problem 23CQ: In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in... Problem 24CQ: When a wire is connected between the two ends of a solenoid, the resulting circuit can oscillate... Problem 25CQ: Describe what effect the resistance of the connecting wires has on an oscillating LC circuit. Problem 26CQ: Suppose you wanted to design an LC circuit with a frequency of 0.01 Hz. What problems might you... Problem 27CQ: A radio receiver uses an RLC circuit to pick out particular frequencies to listen to in your house... Problem 28P: When the current in one coi1 changes at a rate of 5.6 A/s an emf of 6.3 × 10-3 is induced in a... Problem 29P: An emf of 9.7 × 10-3 V is induced in a coil while the current in a nearby coil is decreasing at a... Problem 30P: Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays... Problem 31P: A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10-3 m2. The... Problem 32P: A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm ×... Problem 33P: A toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound... Problem 34P: A solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has... Problem 35P: An emf of 0.40 V is induced across a coil when the current through it changes uniformly from 0.10 to... Problem 36P: The current shown in part (a) below is increasing, whereas that shown in part (b) is decreasing. In... Problem 37P: What is the rate at which the current though a 0.30-H coil is changing if an emf of 0.12 V is... Problem 38P: When a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time... Problem 39P: A coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) =... Problem 40P: A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0... Problem 41P: A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt =... Problem 42P: The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the... Problem 43P: A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting... Problem 44P: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,... Problem 45P: What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose... Problem 46P: At the instant a current of 0.20 A is flowing through a coil of wire, the energy stored in its... Problem 47P: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,... Problem 48P: Solenoid A is tightly wound while solenoid B has windings that are evenly spaced with a gap equal to... Problem 49P: A 10-H inductor carries a current of 20 A. How much ice at 0ºC could be melted by the energy stored... Problem 50P: A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A.... Problem 51P: A current of 1.2 A is flowing in a coaxial cable whose outer radius is five times its inner radius.... Problem 52P: In Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b)... Problem 53P: For the circuit shown below, =20V , L = 4.0 mH, and R = 5.0 . After steady state is reached with S1... Problem 54P: The current in the RL circuit shown here increases to 40% of its steady-state value in 2.0 s. What... Problem 55P: How long after switch S1 is thrown does it take the current in the circuit shown to reach half its... Problem 56P: Examine the circuit shown below in part (a). Determine dl/dt at the instant after the switch is... Problem 57P: The current in the RL circuit shown below reaches half maximum value in l.75 ms after the switch... Problem 58P: Consider the circuit shown below. Find l1, l2and l3when (a) the switch S is first closed, (b) after... Problem 59P: For the circuit shown below, =50V , R1= 10 , and L= 2.0 mH. Find the values of l1and l2(a)... Problem 60P: For the circuit shown below, find the current through the inductor 2.0105 s after the switch is... Problem 61P: Show that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is... Problem 62P: A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine... Problem 63P: The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular... Problem 64P: What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ? Problem 65P: In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum... Problem 66P: The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F ,... Problem 67P: In an oscillating LC circuit, the maximum charge on the capacitor is qm. Determine the charge on the... Problem 68P: In the circuit shown below, S1is opened and S2is dosed simultaneously. Determine (a) the frequency... Problem 69P: An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a... Problem 70P: In an oscillating RLC circuit, R=5.0 ,. L=5.0mH , and C = 500 F . What is the angular frequency of... Problem 71P: In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses... Problem 72P: What resistance R must be connected in series with a 200-mH inductor of the resulting RLC... Problem 73AP: Show that the self-inductance per unit length of an infinite, straight, thin wire is infinite. Problem 74AP: Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and... Problem 75AP: A small, rectangular single loop of wire with dimensions 1, and a is placed, as shown in the plan of... Problem 76AP: Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility... Problem 77AP: A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x... Problem 78AP: A rectangular toroid with inner radius R1= 7.0cm, outer radius R2= 9.0cm, height h = 3.0, and N=3.0,... Problem 79AP: The switch S of the circuit shown below is closed t =0. Determine (a) the initial current through... Problem 80AP: In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a... Problem 81AP: A 25.0-H inductor has 100 A of current turned off in 1.00 ms . (a) What voltage is induced to oppose... Problem 82CP: A coaxial cable has an inner conductor of radius a, and outer thin cylindrical shell of radius b. A... Problem 83CP: In a damped oscillating circuit the energy is dissipated In the resistor. The Q-factor Is a measure... Problem 84CP: The switch in the circuit shown below is closed at t = 0s. Find currents through (a) R1(b) R2, and... Problem 85CP: A square loop of side 2 cm is placed 1 cm from a long wire carrying a current that varies with time... Problem 86CP: A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic... Problem 50P: A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A....
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A current runs in a long solenoid of a radius 3 cm and 437 turns per meter. The current in the solenoid is increased at a rate of 2 A/s. A single circular loop of wire of radius 5 cm and resistance 2 Ω surrounds the solenoid. Find the electrical current induced in the single loop. Give your answer in units of microamperes.
Flow of electric charges through a conductor.
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