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When a dc voltage of 60 V is applied across a solenoid, an electric current of 5 A flows through it. When the dc voltage is replaced by the ac voltage of the angular frequency 400 rad/s, the electric current is reduced to 3A. What is the inductance of solenoid?
- a)0.02 H
- b)0.4 H
- c)0.04 H
- d)0.2 H
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
When a dc voltage of 60 V is applied across a solenoid, an electric cu...
Concept:
Solenoid:
A type of electromagnet that generates a controlled magnetic field through a coil wound into a tightly packed helix.
- The uniform magnetic field is produced when an electric current is passed through it.
- The magnetic field inside a solenoid does not depend on the diameter of the solenoid.
- The field inside is constant.
Calculation:
Given: Vdc = 60 V, Idc = 5 A
Solenoid equivalent is given by series RL circuit.
Now by DC supply, the inductor behaves as a short circuit at a steady state.
Vdc = Idc × R = 5 × R = 60
R = 12 Ω
Now, when AC supply is given, Current Iac = 3 A at ω = 400 rad/sec
Equivalent impedance(Z) = V/I = 60/3 = 20Ω
Therefore,
ωL = 16 Ω
L = 16/400 = 0.04 H
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Community Answer
When a dc voltage of 60 V is applied across a solenoid, an electric cu...
Concept:
Solenoid:
A type of electromagnet that generates a controlled magnetic field through a coil wound into a tightly packed helix.
- The uniform magnetic field is produced when an electric current is passed through it.
- The magnetic field inside a solenoid does not depend on the diameter of the solenoid.
- The field inside is constant.
Calculation:
Given: Vdc = 60 V, Idc = 5 A
Solenoid equivalent is given by series RL circuit.
Now by DC supply, the inductor behaves as a short circuit at a steady state.
Vdc = Idc × R = 5 × R = 60
R = 12 Ω
Now, when AC supply is given, Current Iac = 3 A at ω = 400 rad/sec
Equivalent impedance(Z) = V/I = 60/3 = 20Ω
Therefore,
ωL = 16 Ω
L = 16/400 = 0.04 H
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When a dc voltage of 60 V is applied across a solenoid, an electric current of 5 A flows through it. When the dc voltage is replaced by the ac voltage of the angular frequency 400 rad/s, the electric current is reduced to 3A. What is the inductance of solenoid?a)0.02 Hb)0.4 Hc)0.04 Hd)0.2 HCorrect answer is option 'C'. Can you explain this answer?
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