A 58.5 m length of insulated copper wire is wound to form a solenoid of radius 2.1 cm. The copper wire has a radius of 0.53 mm. (Assume the resistivity of copper is p = 1.7 x 10-° 2. m.) (a) What is the resistance of the wire? 1.127 (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? 443 turns (c) How long is the resulting solenoid? 0.469 m (d) What is the self-inductance of the solenoid? mH (e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 m2, compute the time constant of the circuit. ms (f) What is the maximum current attained? (g) How long would it take to reach 99.9% of its maximum current? ms (h) What maximum energy is stored in the inductor? m)

A 58.5 m length of insulated copper wire is wound to form a solenoid of radius 2.1 cm. The copper wire has a radius of 0.53 mm. (Assume the resistivity of copper is p = 1.7 x 10-° 2. m.) (a) What is the resistance of the wire? 1.127 (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? 443 turns (c) How long is the resulting solenoid? 0.469 m (d) What is the self-inductance of the solenoid? mH (e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 m2, compute the time constant of the circuit. ms (f) What is the maximum current attained? (g) How long would it take to reach 99.9% of its maximum current? ms (h) What maximum energy is stored in the inductor? m)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 35PQ

See similar textbooks

Similar questions

An ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?
A 700-pF capacitor is connected across an ac source with a voltage amplitude of 160 V and a frequency of 20 kHz. (a) Determine the capacitive reactance of the capacitor and the amplitude of the output current of the source. (b) If the frequency is changed to 60 Hz while keeping the voltage amplitude at 160 V, what are the capacitive reactance and the current amplitude?
A 1.50 mF capacitor is connected to an ac generator with m = 30.0 V. What is the amplitude of the resulting alternating current if the frequency of the emf is (a) 1.00 kHz and (b) 8.00 kHz?
A generator delivers an AC voltage of the form Δ v = (98.0 V) sin (80πt) to a capacitor. The maximum current in the circuit is 0.500 A. Find the (a) rms voltage of the generator, (b) frequency of the generator, (c) rms current, (d) reactance, and (e) value of the capacitance.
A 1.0-kHz AC generator that is connected to a certain capacitor has an rms voltage of 2.0 V, and an rms current of 0.45 mA flows through the circuit. What is the reactance of the capacitor? What is the capacitance of the capacitor? [Answers: (a) Xc = 4.4 × 103 Ω, (b) C = 3.6 × 10−8 F]
• A 4.40@mF and an 8.80@mF capacitor are connected in series to a60.0-Hz generator operating with an rms voltage of 115 V. What isthe rms current supplied by the generator?
North American outlets supply AC electricity with a frequencyof f = 60.0 Hz while the European standard is f = 50.0 Hz.What value of capacitance provides a capacitive reactance of1.00 kΩ (a) in North America and (b) in Europe?
A resistor ( R = 9.00 × 102 Ω), a capacitor (C = 0.250 µF), and an inductor (L = 2.50 H) are connected in series across a 2.40 × 102-Hz AC source for which ΔV max = 1.40 × 102 V. Calculate (a) the impedance of the circuit, (b) the maximum current delivered by the source, and (c) the phase angle between the current and voltage. (d) Is the current leading or lagging the voltage?
A generator delivers an AC voltage of the form Δv = (98.0 V)sin (80πt) to a capacitor. The maximum current in the circuitis 0.500 A. Find the (a) rms voltage of the generator, (b) frequencyof the generator, (c) rms current, (d) reactance, and(e) value of the capacitance.
An LC circuit has an inductor of inductance 8.4 mH and a capacitor with a capacitance of 963.7 µF. At what frequency, in radians per second, will the circuit oscillate?