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A uniform current is flowing along the length dinfinite, straight. thin. hollow cylinder dradius $R$ The magnetic field $B$ produced at perpendicular distance $d$ from the axis of the cylinder is plotied in a graph. Which of the following figures looks like the plot?
Options:
- A
- B
- C
- D
Solution:
2463 Upvotes
Verified Answer
The correct answer is:
$\because$ Magnetic field due to a hollow cylinder of radius $r$
$$
\begin{aligned}
B_{\text {inside }} &=0(\text { for } d < r) \\
B_{\text {outside }} &=\frac{\mu_{0}}{2 \pi} \cdot \frac{i}{d}(\text { for } d \geq r)
\end{aligned}
$$
So, graph between $B$ and $d$.
$$
\begin{aligned}
B_{\text {inside }} &=0(\text { for } d < r) \\
B_{\text {outside }} &=\frac{\mu_{0}}{2 \pi} \cdot \frac{i}{d}(\text { for } d \geq r)
\end{aligned}
$$
So, graph between $B$ and $d$.
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