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If the self inductance of a long solenoid is SuH, What is the energy stored in...
Using the magnetic field and self-inductance of a long cylindrical solenoid derived in class, show that the magnetic field energy density inside the solenoid is given by uB = B^2/2µ0 . This result, even though you obtained it for a particular case, is general and it represents the energy density of the magnetic field in vacuum. In fact, it is completely analogous to uE = ε0E^2/2, the energy density of the electric field in vacuum.
2. (30 pts) When a 500-tum solenoid with length of 40 cm and diameter of 2 cm carries a 6-A current, what is the magnetic field in the solenoid? What is the magnetic flux through the solenoid? What is the inductance of the solenoid? What is the magnetic energy stored in the solenoid? When the current decreases at a constant rate to zero in 3 ms, what is the self- induced emf in the solenoid?
A solenoid is hooked to an alternating current source. a. Calculate the self-inductance of a 40.0 cm long, 8.0 cm diameter solenoid having 800 loops. b. How much energy is stored in this inductor when 10.0 A of current flows through it? c. How fast can it be turned off if the induced emf cannot exceed 9.00 V?
22. A solenoid is hooked to an alternating current source. a. Calculate the self-inductance of a 40.0 cm long, 8.0 cm diameter solenoid having 800 loops. b. How much energy is stored in this inductor when 10.0 A of current flows through it? c. How fast can it be turned off if the induced emf cannot exceed 9.00 V?
(a) Calculate the self-inductance (in mH) of a 54.0 cm long, 10.0 cm diameter solenoid having 1000 loops. mH (b) How much energy (in )) is stored in this inductor when 19.5 A of current flows through it? J (c) How fast (in s) can it be turned off if the induced emf cannot exceed 3.00 V?
(a) Calculate the self-inductance (in mH) of a 47.0 cm long, 10.0 cm diameter solenoid having 1000 loops. 20.9 → mH (b) How much energy (in J) is stored in this inductor when 19.0 A of current flows through it? با (c) How fast (in s) can it be turned off if the induced emf cannot exceed 3.00 V? S
1. A solenoid having an inductance of 7.65 μH is connected in series with a 1.08 kΩ resistor. (a) If a 18.0 V battery is connected across the pair, how long will it take in seconds for the current through the resistor to reach 70.9% of its final value? (b) What is the current through the resistor at a time t = 1.00τL? 2. A solenoid that is 70.9 cm long has a cross-sectional area of 21.1 cm2. There are...
An air-core solenoid with 60 turns is 8.00 cm long and has a diameter of 1.20 cm. When the solenoid carries a current of 0.720 A, how much energy is stored in its magnetic field?
An ideal solenoid with l0 turns is 8 cm long and has a radius of 2 cm. Calculate the amount of energy stored in its magnetic field when it carries a current of 2 A