A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. The mutual inductance of the coil and solenoid is 31 µH. At a given instant, the current in the solenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is the magnitude of the induced current in the coil? (µO = 41 x 10-7I: m/A)

A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. The mutual inductance of the coil and solenoid is 31 µH. At a given instant, the current in the solenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is the magnitude of the induced current in the coil? (µO = 41 x 10-7I: m/A)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A solenoid with 455 turns has a length of 5.50 cm and a cross-sectional area of 3.50 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +3.00 A to −3.00 A in 6.33 ✕ 10−3 s. (a) the solenoid's inductance (in H) (b) the average emf around the solenoid (in V)
A solenoid with 495 turns has a length of 6.50 cm and a cross-sectional area of 3.10 x 10-9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to -4.00 A in 6.33 x 10-3 s. HINT (a) the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V) v
Two coils have a mutual inductance M = 0.0311 H, while the first coil has self- inductance L₁ = 0.0251 H. If the current through the first coil is changing at a rate di₁/dt = 2.32 A/s and the current through the second coil is changing at a rate di2/dt = 4.09 A/s, what is the magnitude of the EMF in the first loop? V IN
A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. Acoil is tightly wound around the solenoid at its center. The coil's resistance is 9.9 ohms. Themutual inductance of the coil and solenoid is 31 μH. At a given instant, the current in thesolenoid is 540 mA, and is decreasing at the rate of 2.5 A/s. At the given instant, what is themagnitude of the induced current in the coil? (μ0 = 4pi × 10^-7 T · m/A)
A solenoid with 495 turns has a length of 5.00 cm and a cross-sectional area of 2.90 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +3.50 A to −3.50 A in 6.33 ✕ 10−3 s. (a) the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V) V
A solenoid with 505 turns has a length of 6.50 cm and a cross-sectional area of 2.50 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +3.50 A to −3.50 A in 7.33 ✕ 10−3 s. (a) the solenoid's inductance (in H) _______ H (b)the average emf around the solenoid (in V) _______V
A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10−3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?
A solenoid with 425 turns has a length of 5.00 cm and a cross-sectional area of 2.70 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to −4.00 A in 7.33 ✕ 10−3 s. (a) the solenoid's inductance (in H) (b) the average emf around the solenoid (in V)
Suppose you wish to make a solenoid whose self-inductance is 1.8 mH. The inductor is to have a cross-sectional area of 1.6 x 10-3 m2 and a length of 0.076 m. How many turns of wire are needed?
A solenoid with 455 turns has a length of 8.00 cm and a cross-sectional area of 2.70 ✕ 10−9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to −4.00 A in 6.83 ✕ 10−3 s. (a) the solenoid's inductance (in H) (b) the average emf around the solenoid (in V)
A coil has an inductance of 1.5 H and a resistance of 0.6 ohm. If the coil is suddenly connected across a 12-V battery, find the time required for the current to rise to 0.63 of its final value.