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.)
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Chapter1: Units, Trigonometry. And Vectors
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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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