Search any question & find its solution
Question:
Answered & Verified by Expert
A closely wound solenoid $80 \mathrm{~cm}$ long has 5 layers of windings of 400 turns each. The diameter of the solenoid is $1.8 \mathrm{~cm}$. If the current carried is $8.0 \mathrm{~A}$, estimate the magnitude of $B$ inside the solenoid near its centre.
Solution:
2424 Upvotes
Verified Answer
Given, $\ell=80 \mathrm{~cm}=0.8 \mathrm{~m}$
$$
\mathrm{N}=5 \times 400=2000, \mathrm{I}=8 \mathrm{~A}, \mathrm{~B}=\text { ? }
$$
$$
\begin{aligned}
\mathrm{B}=\mu_0 \mathrm{nI} &=4 \pi \times 10^{-7} \times \frac{2000}{0.8} \times 8 \\
&=8 \pi \times 10^{-3}=2.51 \times 10^{-2} \mathrm{~T}
\end{aligned}
$$
$$
\mathrm{N}=5 \times 400=2000, \mathrm{I}=8 \mathrm{~A}, \mathrm{~B}=\text { ? }
$$
$$
\begin{aligned}
\mathrm{B}=\mu_0 \mathrm{nI} &=4 \pi \times 10^{-7} \times \frac{2000}{0.8} \times 8 \\
&=8 \pi \times 10^{-3}=2.51 \times 10^{-2} \mathrm{~T}
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.