Easy MCQ +4 / -1 PYQ · JEE Mains 2023

A long solenoid is formed by winding 70 turns cm$^{-1}$. If 2.0 A current flows, then the magnetic field produced inside the solenoid is ____________ ($\mu_0=4\pi\times10^{-7}$ TmA$^{-1}$)

  1. A $88\times10^{-4}$ T
  2. B $1232\times10^{-4}$ T
  3. C $176\times10^{-4}$ T Correct answer
  4. D $352\times10^{-4}$ T

Solution

Number of turns per meter $=7000$ turns per $\mathrm{m}$ <br/><br/> $$ \begin{aligned} &i=2 \mathrm{~A} & \\\\ & B=\mu_{0} n i =4 \pi \times 10^{-7} \times 7000 \times 2 \\\\ & =56 \pi \times 10^{-4} \mathrm{~T} \\\\ & =56 \times \frac{22}{7} \times 10^{-4} \mathrm{~T} \\\\ & =176 \times 10^{-4} \mathrm{~T} \end{aligned} $$

About this question

Subject: Physics · Chapter: Magnetic Effects of Current · Topic: Biot-Savart Law

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