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ImmortalEnigmaYT
26.02.2021 •
Physics
A 517kg piano is on the first floor that is 2.4m high. You lift it up and carry it to the 4th floor that is
19m above the ground. How much work did you when you carried the piano from the 1st floor to
the 4th floor?
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Ответ:
Current in the circuit at the very instant after the switch is closed will be also 0
Energy stored = 58.324 mJ
Explanation:
Inductor is a device which resists change in current in the circuit. Current in the circuit was 0 before the switch is closed. Therefore current in the circuit at the very instant after the switch is closed will be also 0. Since inductor resists change in current and likes to remain as it is.
After the switch is closed, current will be growing exponentially and finally will reach a steady state. Since we are considering the inductor as ideal, the resistance in the circuit will be only due to the resistor.
By ohm's law
V = IR
I =![\frac{V}{R}](/tpl/images/0394/2807/e53c6.png)
V = 12 volts
R = 5.6 ohm
Substituting in the equation,
I =![\frac{12}{ 5.6}](/tpl/images/0394/2807/add77.png)
I = 2.143 A
Again, we know that the energy stored in an inductor is given by
E =![\frac{1}{2}LI^{2}](/tpl/images/0394/2807/f2cac.png)
L = 25.4 mH
I = 2.143 A
Substituting in the equation,
E =![\frac{1}{2}25.4 mH X 2.143 ^{2}](/tpl/images/0394/2807/3754d.png)
E = 58.324 mJ