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The magnetic field inside a toroidal solenoid of radius R is B. If the current through it is doubled and its radius is also doubled keeping the number of turns per unit length the same; magnetic field produced by it will be:
  • a)
    B/2
  • b)
    B/4
  • c)
    B
  • d)
    2B 
Correct answer is option 'D'. Can you explain this answer?
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The magnetic field inside a toroidal solenoid of radius R is B. If the...
Explanation:

Effect of Doubling the Current:
- When the current through the toroidal solenoid is doubled, the magnetic field inside it will also double due to the direct relationship between the current and the magnetic field strength (B ∝ I).

Effect of Doubling the Radius:
- When the radius of the toroidal solenoid is doubled, the magnetic field inside it will decrease by a factor of 1/2, as the magnetic field strength is inversely proportional to the radius of the solenoid (B ∝ 1/R).

Overall Effect:
- Doubling the current and doubling the radius have opposite effects on the magnetic field strength inside the toroidal solenoid.
- The effect of doubling the current dominates over the effect of doubling the radius.
- Therefore, the overall magnetic field produced by the toroidal solenoid will be 2B when the current is doubled and the radius is doubled.
Therefore, the correct answer is option D) 2B.
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The magnetic field inside a toroidal solenoid of radius R is B. If the...
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The magnetic field inside a toroidal solenoid of radius R is B. If the current through it is doubled and its radius is also doubled keeping the number of turns per unit length the same; magnetic field produced by it will be:a)B/2b)B/4c)Bd)2BCorrect answer is option 'D'. Can you explain this answer?
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