TS EAMCET · Physics · Magnetic Effects of Current

A toroid has a core (non-ferro magnetic) of inner radius $24 cm$ and outer radius $26 cm$ around which $2000$ turns of a wire is wound. If the current in the wire is $12 A$ , the magnetic field inside the core of the toroid is

A $1.92 \times 10^{- 2} T$
B $1.88 \times 10^{- 2} T$
C $2.12 \times 10^{- 2} T$
D $1.98 \times 10^{- 2} T$

Verified Solution

Answer & Solution

Correct Answer

(A) $1.92 \times 10^{- 2} T$

Step-by-step Solution

Detailed explanation

Given: r1= 24 cmr2= 26 cm Mean radius, r=r1+r22=25 cm=14 m Magnetic field inside the toroid, B=μ0nI=μ0N2πrI=4π×10-720002π×14×12=1.92×10-2 T

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From TS EAMCET

Explore more questions on app

A toroid has a core (non-ferro magnetic) of inner radius 24 cm and outer radius 26 cm around which 2000 turns of a wire is wound. If the current in the wire is 12 A, the magnetic field inside the core of the toroid is

Step-by-step Solution

A toroid has a core (non-ferro magnetic) of inner radius $24 cm$ and outer radius $26 cm$ around which $2000$ turns of a wire is wound. If the current in the wire is $12 A$ , the magnetic field inside the core of the toroid is