The magnetic intensity at the center of a long current carrying solenoid is found to be . If the number of turns is per cm, then the current flowing through the solenoid is:
NVAEasyJEE 2023Ampere's Law
JEE Physics 2023 Question with Solution
Answer
Correct answer:2
Step-by-step solution
Standard Method
Given: Magnetic intensity at the center of the solenoid is and the number of turns is .
Find: The current flowing through the solenoid.
For a long current carrying solenoid, magnetic intensity is given by
So,
Therefore, the current flowing through the solenoid is .
Common mistakes
Using directly without converting turns per centimetre to turns per metre is incorrect because is given in . Convert to before substitution.
Applying the formula for magnetic field instead of magnetic intensity leads to an unnecessary factor of . Here the given quantity is magnetic intensity, so use .
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