Ch 30: Inductance
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Problem 30
When the current in a toroidal solenoid is changing at a rate of 0.0260 A/s, the magnitude of the induced emf is 12.6 mV. When the current equals 1.40 A, the average flux through each turn of the solenoid is 0.00285 Wb. How many turns does the solenoid have?Problem 30
The inductor shown in Fig. E30.11 has inductance 0.260 H and carries a current in the direction shown. The current is changing at a constant rate.
(a) The potential between points a and b is Vab = 1.04 V, with point a at higher potential. Is the current increasing or decreasing?
Problem 30
A toroidal solenoid has mean radius 12.0 cm and crosssectional area 0.600 cm^2. (a) How many turns does the solenoid have if its inductance is 0.100 mH?Problem 30
An L-R-C series circuit has L = 0.600 H and C = 3.00 mF. (a) Calculate the angular frequency of oscillation for the circuit when R = 0.Problem 30
An L-R-C series circuit has L = 0.600 H and C = 3.00 mF. (b) What value of R gives critical damping?Problem 30
An L-R-C series circuit has L = 0.450 H, C = 2.50 * 10^-5 F, and resistance R. (a) What is the angular frequency of the circuit when R = 0?Problem 30
An L-R-C series circuit has L = 0.450 H, C = 2.50 * 10^-5 F, and resistance R. (b) What value must R have to give a 5.0% decrease in angular frequency compared to the value calculated in part (a)?Problem 30
A 2.50-mH toroidal solenoid has an average radius of 6.00 cm and a cross-sectional area of 2.00 cm^2. (a) How many coils does it have? (Make the same assumption as in Example 30.3.)Problem 30
At the instant when the current in an inductor is increasing at a rate of 0.0640 A/s, the magnitude of the self-induced emf is 0.0160 V. (a) What is the inductance of the inductor?Problem 30
At the instant when the current in an inductor is increasing at a rate of 0.0640 A/s, the magnitude of the self-induced emf is 0.0160 V. (b) If the inductor is a solenoid with 400 turns, what is the average magnetic flux through each turn when the current is 0.720 A?Problem 30
A long, straight solenoid has 800 turns. When the current in the solenoid is 2.90 A, the average flux through each turn of the solenoid is 3.25 * 10^-3 Wb. What must be the magnitude of the rate of change of the current in order for the self-induced emf to equal 6.20 mV?Problem 30
Inductance of a Solenoid. (b) A metallic laboratory spring is typically 5.00 cm long and 0.150 cm in diameter and has 50 coils. If you connect such a spring in an electric circuit, how much self-inductance must you include for it if you model it as an ideal solenoid?Problem 30.1a
Two coils have mutual inductance M = 3.25 × 10-4 H. The current i1 in the first coil increases at a uniform rate of 830 A/s. (a) What is the magnitude of the induced emf in the second coil? Is it constant?
