MCQ
Flux passing through loop is proportional to
- A$\phi \propto r$
- ✓$\phi \propto s$
- C$\phi \propto t$
- D$\phi \propto r^{-1}$
✓
Answer
Correct option: B.
$\phi \propto s$
b
$\int \mathrm{d} \phi=\int_{0}^{\mathrm{t}} \frac{\mu_{0} \mathrm{I}}{2 \pi(\mathrm{r}+\mathrm{x})} \cdot \mathrm{s}\,\, \mathrm{dx}$
$\int \mathrm{d} \phi=\int_{0}^{\mathrm{t}} \frac{\mu_{0} \mathrm{I}}{2 \pi(\mathrm{r}+\mathrm{x})} \cdot \mathrm{s}\,\, \mathrm{dx}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \int_{0}^{t} \frac{\mathrm{d} \mathrm{x}}{\mathrm{r}+\mathrm{x}}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \ln (\mathrm{r}+\mathrm{x}) \mathrm{l}_{0}^{\mathrm{t}}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \ln \left(\frac{r+\mathrm{t}}{\mathrm{r}}\right)$
$\phi \propto S$
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