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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?
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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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? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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