AP EAMCET · PHYSICS · Electromagnetic Induction
A small square loop of wire of side \(l\) is placed inside a large square loop of side \(L(L>>l)\). If the loops are coplanar and their centres coincide, the mutual induction of the system is directly proportional to :
- A \(\frac{L}{l}\)
- B \(\frac{l}{L}\)
- C \(\frac{L^2}{l}\)
- D \(\frac{l^2}{L}\)
Answer & Solution
Correct Answer
(D) \(\frac{l^2}{L}\)
Step-by-step Solution
Detailed explanation
Considering the larger loop to be made up of four rods each of length \(L\), the field at the centre, i.e., at a distance \(\left(\frac{L}{2}\right)\) from each rod, will be \(B=4 \times \frac{\mu_0}{4 \pi} \frac{l}{d}[\sin \alpha+\sin \beta]\) i.e.,…
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