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QAIPMT-2008-Ph-2262: NEET 2008 Physics - Class 12 AIPMT-2008-Ph-2262 Solution: A long solenoid has 500 turns. When a current of 2 ampere is…

A long solenoid has 500 turns. When a current of 2 ampere is passed through it the resulting magnetic flux linked with each turn of the solenoid is 4×10−3 Wb4 \times 10^{-3}\ \text{Wb}. The self-inductance of the solenoid is 1.0 henry 4.0 henry 2.5 henry 2.0 henry

Multiple Choice Options

  • A 2.0 ohm
  • B zero
  • C 1.0 ohm
  • D 0.5 ohm

Step-by-Step Verified Solution

Here E > E R R + r , hence the lengths 110 cm and 100 cm are interchanged. Without being short-circuited through R, only the battery E is balanced. E = V L _ l 1 = V L _ 110    ...(i) When R is connected across E, R i = V L _ l 2 _ R ( E R + r ) = V L _ 100    ...(ii) Dividing (i) by (ii), we get R + r R = 110 100 _ 100 R + 100 r = 110 R _ 10 R = 100 r _ r = 10 R 100 = 10 _ 10 100   ( _ R = 10 � ) _ r = 1 � .

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