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A N = 807-turn solenoid with length, = 36.6 cm, and diameter, d = 9 cm, is carrying a current, I = 19.8 A. SYMBOLIC INPUT. Use the given variables, N, e, d, and I, along with constants, as needed. (a) Write a symbolic expression for the self-inductance of the coil, then calculate its numeric value. L = Submit 10√√2/ l Ug = πά 4 (b) Write a symbolic expression for the total energy stored in the current-carrying inductor, then calculate its numeric value. ₂-M²( ² ) ² = 4 Ug = (c) Write a symbolic expression for the energy density stored in the current-carrying inductor then calculate its numeric value. - №²1 = 14.2 X L 1193.95 mH 2.78 X 2. Oscillating Current A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(27t)., where lo = 3.5 A. (The "e" is on the keypad under symbols.) (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. 8(t) = -2nLI_cos (2nt) 1J/m³✓ = 32.65 (b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value. (Remember, just type "L" for inductance.)

A N = 807-turn solenoid with length, = 36.6 cm, and diameter, d = 9 cm, is carrying a current, I = 19.8 A. SYMBOLIC INPUT. Use the given variables, N, e, d, and I, along with constants, as needed. (a) Write a symbolic expression for the self-inductance of the coil, then calculate its numeric value. L = Submit 10√√2/ l Ug = πά 4 (b) Write a symbolic expression for the total energy stored in the current-carrying inductor, then calculate its numeric value. ₂-M²( ² ) ² = 4 Ug = (c) Write a symbolic expression for the energy density stored in the current-carrying inductor then calculate its numeric value. - №²1 = 14.2 X L 1193.95 mH 2.78 X 2. Oscillating Current A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(27t)., where lo = 3.5 A. (The "e" is on the keypad under symbols.) (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. 8(t) = -2nLI_cos (2nt) 1J/m³✓ = 32.65 (b) Write a symbolic expression for average energy stored in the coil, in terms of L and lo, then calculate its numeric value. (Remember, just type "L" for inductance.)

College Physics
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)...
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A N = 807-turn solenoid with length, € = 36.6 cm, and diameter, d = 9 cm, is carrying a current, 1 = 19.8 A. SYMBOLIC INPUT. Use the given variables, N, P, d, and I, along with constants, as needed. (a) Write a symbolic expression for the self-inductance of the coil, then calculate its numeric value. nd² 4 L = Submit Ug = 1012/ l (b) Write a symbolic expression for the total energy stored in the current-carrying inductor, then calculate its numeric value. 201²/0² of 4 Lu UB= 20 (c) Write a symbolic expression for the energy density stored in the current-carrying inductor then calculate its numeric value. N²1 14.2 Ug = 1193.95 11 2.78 X mH 2. Oscillating Current A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(2πt)., where lo = 3.5 A. (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. 8(t) = --2nLI cos (2nt) = 32.65 (The "e" is on the keypad under symbols.) J/m³ (b) Write a symbolic expression for average energy stored in the coil, in terms of I and lo, then calculate its numeric value. (Remember, just type "L" for inductance.) JX
Transcribed Image Text:A N = 807-turn solenoid with length, € = 36.6 cm, and diameter, d = 9 cm, is carrying a current, 1 = 19.8 A. SYMBOLIC INPUT. Use the given variables, N, P, d, and I, along with constants, as needed. (a) Write a symbolic expression for the self-inductance of the coil, then calculate its numeric value. nd² 4 L = Submit Ug = 1012/ l (b) Write a symbolic expression for the total energy stored in the current-carrying inductor, then calculate its numeric value. 201²/0² of 4 Lu UB= 20 (c) Write a symbolic expression for the energy density stored in the current-carrying inductor then calculate its numeric value. N²1 14.2 Ug = 1193.95 11 2.78 X mH 2. Oscillating Current A coil with a self-inductance, L = 5.33 H, carries a current that varies with time according to /(t) = losin(2πt)., where lo = 3.5 A. (a) Write a symbolic expression for the emf induced in the coil as a function of time, in terms of its inductance, L, the maximum current, lo, and t, as needed, along with any constants. 8(t) = --2nLI cos (2nt) = 32.65 (The "e" is on the keypad under symbols.) J/m³ (b) Write a symbolic expression for average energy stored in the coil, in terms of I and lo, then calculate its numeric value. (Remember, just type "L" for inductance.) JX
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