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MHT CET · Physics · Magnetic Effects of Current

The magnetic field inside a current carrying toroidal solenoid is \(0.2 \mathrm{mT}\). What is the magnetic field inside the toroid if the current

  1. A \(0.02 \mathrm{mT}\)
  2. B \(0.6 \mathrm{mT}\)
  3. C \(0.8 \mathrm{mT}\)
  4. D \(0.9 \mathrm{mT}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.6 \mathrm{mT}\)

Step-by-step Solution

Detailed explanation

Magnetic field inside the toroid is given by
\(
\begin{aligned}
& \mathrm{B}=\mu_0 \mathrm{nI} \\
& \therefore \frac{\mathrm{B}_2}{\mathrm{~B}_1}=\frac{\mathrm{I}_2}{\mathrm{I}_1}=3
\end{aligned}
\)
(If cross-sectional radius of the solenoid is changed three will be no effect on the magnetic field, assuming the number of turns remains same.)
\(
\therefore \mathrm{B}_2=3 \mathrm{~B}_1=3 \times 0.2=0.6 \mathrm{~T}
\)
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