Question
Flux passing through loop is proportional to
✓
Answer
$\int \mathrm{d} \phi=\int_{0}^{\mathrm{t}} \frac{\mu_{0} \mathrm{I}}{2 \pi(\mathrm{r}+\mathrm{x})} \cdot \mathrm{s}\,\, \mathrm{dx}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \int_{0}^{t} \frac{\mathrm{d} \mathrm{x}}{\mathrm{r}+\mathrm{x}}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \ln (\mathrm{r}+\mathrm{x}) \mathrm{l}_{0}^{\mathrm{t}}$
$\phi=\frac{\mu_{0} \mathrm{Is}}{2 \pi} \ln \left(\frac{r+\mathrm{t}}{\mathrm{r}}\right)$
$\phi \propto S$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Figure shows a circular region of radius $R$ in which uniform magnetic field $B$ exists. The magnetic field is increasing at a rate $\frac{d B}{d t}$. The induced electric field at a distance $r$ from the centre for $r < R$ is ............
→If ${q}_{{f}}$ is the free charge on the capacitor plates and ${q}_{{b}}$ is the bound charge on the dielectric slab of dielectric constant $k$ placed between the capacitor plates, then bound charge $q_{b}$ can be expressed as
→A particle is executing $S.H.M.$ and its velocity $v$ is related to its position $(x)$ as $v^2+a x^2=b$, where $a$ and $b$ are positive constants. The frequency of oscillation of particle is ..........
→The distance $v$ of the real image formed by a convex lens is measured for various object distance $u$. A graph is plotted between $v$ and $u$, which one of the following graphs is correct
→A sound wave of frequency $\nu$ travels horizontally to the right. It is reflected from a large vertical plane surface moving to the left with a speed $v.$ The speed of sound in the medium is $c,$ then
→The figure represents the instantaneous picture of a transverse harmonic wave traveling along the negative $x$-axis. Choose the correct alternative $(s)$ related to the movement of the nine points shown in the figure. The points moving with maximum velocity is/are
→The unit of percentage error is
A particle moves along a straight line. Its position at any instant is given by $x=32 t-\frac{8 t^3}{4}$, where $x$ is in metre and $t$ is in second. Find the acceleration of the particle at the instant when particle is at rest $..........\,m / s ^2$
→In a metre-bridge when a resistance in the left gap is $2\ \Omega$ and unknown resistance in the right gap, the balance length is found to be $40\ \mathrm{~cm}$. On shunting the unknown resistance with $2\ \Omega$, the balance length changes by :
→Four identical thin rods each of mass $M$ and length $l$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is
→