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Magnetics question

2023 · 30 Jan · Shift 1 · Q52
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  5. /2023 · 30 Jan · Shift 1 · Q52

Magnetics question

2023 · 30 Jan · Shift 1 · Q52

JEE MainPhysicsMagneticsMCQ+4 / −1
The magnetic moments associated with two closely wound circular coils A\mathrm{A}A and B\mathrm{B}B of radius rA=10cm\mathrm{r}_{\mathrm{A}}=10\mathrm{cm}rA​=10cm and rB=20 cm\mathrm{r}_{\mathrm{B}}=20 \mathrm{~cm}rB​=20 cm respectively are equal if : (Where NA,IA\mathrm{N}_{\mathrm{A}}, \mathrm{I}_{\mathrm{A}}NA​,IA​ and NB,IB\mathrm{N}_{\mathrm{B}}, \mathrm{I}_{\mathrm{B}}NB​,IB​ are number of turn and current of A\mathrm{A}A and B\mathrm{B}B respectively)
  1. A
    4 NAIA=NBIB4 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}4 NA​IA​=NB​IB​
  2. B
    2 NAIA=NBIB2 \mathrm{~N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=\mathrm{N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}2 NA​IA​=NB​IB​
  3. C
    NA=2 NB\mathrm{N}_{\mathrm{A}}=2 \mathrm{~N}_{\mathrm{B}}NA​=2 NB​
  4. D
    NAIA=4 NBIB\mathrm{N}_{\mathrm{A}} \mathrm{I}_{\mathrm{A}}=4 \mathrm{~N}_{\mathrm{B}} \mathrm{I}_{\mathrm{B}}NA​IA​=4 NB​IB​
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