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Energy of a Linear Magnetic Field

A coil having 1000 turns is wound on a core. The flow of 1 A current through the coil produces 1 mWb flux in the core. What will be the energy stored in the magnetic field?

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Answer & Explanation

Correct AnswerA. 0.5 J

Quick Explanation

Flux linkage is λ=NΦ=1000×1 mWb=1 Wb-turn. For a linear magnetic system, stored energy is W=1/2 λI. With I=1 A, W=0.5 J, matching option A.

Formula / Key Relation

λ=NΦ=1 Wb-turn; W=1/2 λI=0.5J

Energy of a Linear Magnetic Field explanatory diagram

Detailed Explanation

Correct Answer

A — 0.5 J

Concept and Reasoning

Flux linkage is λ=NΦ=1000×1 mWb=1 Wb-turn. For a linear magnetic system, stored energy is W=1/2 λI. With I=1 A, W=0.5 J, matching option A.

Calculation / Key Relation

λ=NΦ=1 Wb-turn

W=1/2 λI=0.5J

Exam Takeaway

For a linear magnetic system, field energy is one-half flux-linkage times current.

Common Mistake

Convert mWb to Wb before multiplying by turns.

Quick Trick

For a linear magnetic system, field energy is one-half flux-linkage times current.

Common Mistake

Convert mWb to Wb before multiplying by turns.

Exam Tip

For a linear magnetic system, field energy is one-half flux-linkage times current.

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Energy of a Linear Magnetic Field

Quick Explanation

Formula / Key Relation

Detailed Explanation

Correct Answer

Concept and Reasoning

Calculation / Key Relation

Exam Takeaway

Common Mistake

Quick Trick

Common Mistake

Exam Tip

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