Find du the rate at which the energy density is changing inside the solenoid at time t = 0.279 s, in J/m³/s. The sign will indicate if u is increasing or decreasing. dt

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A "long" 9,531 turn solenoid (circular cross-section radius 7.05 cm, length 5.5 m) is attached to a fluctuating power source so the current in the circuit is given by:
| = 7.35cos(5.94t), where / is in Amps and t is in seconds.
Find
du
the rate at which the energy density is changing inside the solenoid at time t = 0.279 s, in J/m/s. The sign will indicate if u is increasing or decreasing.
dt
Transcribed Image Text:A "long" 9,531 turn solenoid (circular cross-section radius 7.05 cm, length 5.5 m) is attached to a fluctuating power source so the current in the circuit is given by: | = 7.35cos(5.94t), where / is in Amps and t is in seconds. Find du the rate at which the energy density is changing inside the solenoid at time t = 0.279 s, in J/m/s. The sign will indicate if u is increasing or decreasing. dt
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