AP EAMCET · PHYSICS · Magnetic Effects of Current
Two toroids with number of turns 400 and 200 have arrange radii respectively 30 cm and 60 cm . If they carry the same current, the ratio of magnetic fields in these two toroids is
- A 2:1
- B 1:4
- C 2:3
- D 4:1
Answer & Solution
Correct Answer
(D) 4:1
Step-by-step Solution
Detailed explanation
For toroid, magnetic field inside it is \(\begin{aligned} & B=\mu_0\left(\frac{N}{2 \pi R}\right) \cdot I \Rightarrow B \propto \frac{N}{R} \\ & \therefore \frac{B_1}{B_2}=\left(\frac{N_1}{N_2}\right)=\frac{400}{200} \times \frac{60}{30}=4: 1 \end{aligned}\)
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