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A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be [2011M]
  • a)
    4.0 A
  • b)
    8.0 A
  • c)
  • d)
    2.0 A
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz f...
If ω = 50 × 2π then ωL = 20Ω
If ω' = 100 × 2π then ω'L = 40Ω
Current flowing in the coil is
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Most Upvoted Answer
A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz f...
Inductive reactance is = 20 ohm

". ". = Lw = 2πn × L [ here n = 50 hz]

so 2π×50 × L = 20 & L = 0.06 H

the value of L is constant ...so we can use the value ...to find the inductive reactance when frequency (n) = 100 hz ...

finally the value of (Xl) = 0.06 × 2 × 100 × π

now the impedance ( Z ) = √ ( Xl)^2 + (R^2 )
[ R = 30 ohm]
= 48.179 ohm

V = I Z [ V = 200 v ]

so I = 4.16 ~ 4 A




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A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be [2011M]a)4.0 Ab)8.0 Ac)d)2.0 ACorrect answer is option 'A'. Can you explain this answer?
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