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When 100 V DC is applied across a solenoid, a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the resistance and inductance of the solenoid respectively are
  • a)
    100Ω and 0.55 H
  • b)
    200Ω and 0.8 H
  • c)
    200Ω and 1.0 H
  • d)
    200Ω and 0.89 H
Correct answer is option 'A'. Can you explain this answer?
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To find the resistance and inductance of the solenoid, we can use the formulas:

Resistance (R) = Voltage (V) / Current (I)
Inductive reactance (XL) = Voltage (V) / Current (I)

For the DC case:
Resistance (R) = 100V / 1A = 100Ω

For the AC case:
Inductive reactance (XL) = 100V / 0.5A = 200Ω

Since inductive reactance is given by XL = 2πfL, where f is the frequency and L is the inductance, we can rearrange the formula to solve for L:

L = XL / (2πf)
L = 200Ω / (2π * 50Hz)
L ≈ 0.637 H

Therefore, the resistance and inductance of the solenoid are approximately 100Ω and 0.637 H, respectively.
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When 100 V DC is applied across a solenoid, a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the resistance and inductance of the solenoid respectively area)100Ω and 0.55 Hb)200Ω and 0.8 Hc)200Ω and 1.0 Hd)200Ω and 0.89 HCorrect answer is option 'A'. Can you explain this answer?
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When 100 V DC is applied across a solenoid, a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the resistance and inductance of the solenoid respectively area)100Ω and 0.55 Hb)200Ω and 0.8 Hc)200Ω and 1.0 Hd)200Ω and 0.89 HCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about When 100 V DC is applied across a solenoid, a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the resistance and inductance of the solenoid respectively area)100Ω and 0.55 Hb)200Ω and 0.8 Hc)200Ω and 1.0 Hd)200Ω and 0.89 HCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When 100 V DC is applied across a solenoid, a current of 1 A flows in it. When 100 V AC is applied across the same coil, the current drops to 0.5 A. If the frequency of the AC source is 50 Hz, the resistance and inductance of the solenoid respectively area)100Ω and 0.55 Hb)200Ω and 0.8 Hc)200Ω and 1.0 Hd)200Ω and 0.89 HCorrect answer is option 'A'. Can you explain this answer?.
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