Magnetic Flux

The magnetic flux through each of five faces of a neutral playing dice is given ${\mathrm{\varphi }}_{\text{B}}=\pm \text{NWb}$, where N (= 1 to 5) is the number of spots on the face. The flux is positive (out-ward) for N even and negative (inward) for N odd. What is the flux through the sixth face of the die?

(i) In an a.c. generator, coil of $N$ turns and area $A$ is rotated at $v$ revolution per second in a uniform magnetic field $B$. Write the expression for the emf produced.

(ii) A $100$ turn coil of area  $0.1{\text{ m}}^{\text{2}}$  rotates at half a revolution per second. It is placed in a magnetic field $0.01 \mathrm{T}$ perpendicular to the axis of rotation of the coil. Calculate the maximum voltage generated in the coil.

The dimensional formula of magnetic flux is

Find the magnitude of magnetic flux through the circular loop at $t=t$

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Figure shows a long straight wire carrying current $I$ and a square conducting wire loop of side $I$, at a distance '$a$' from current wire. Both the current wire and loop are in the plane of paper.Find the flux of magnetic field of current wire, passing through the loop.

Why magnetic flux is minimum when angle between magnetic field and area is $90°$ and why not it is minimum when angle between magnetic flux and area is $180°$?

A metallic horizontal ring of mass $m$ and radius $r$ falling under gravity in a region having magnetic field. If $z$ is the vertical direction, the $z$-component of magnetic field is $B_0(1+az)$ where $B_0$ and a are constants. If $R$ is the resistance of the ring, the terminal velocity of the ring is

A long straight wire carries a current $I$ along $y$-axis. The magnetic flux through a square placed a shown is $\frac{{\mu }_{0}I}{p\pi }ln\left(q\right)$. The $p\times q=$

In the adjacent figure, a time varying non uniform magnetic field $B=B_{0}rt$ is shown. Where $r$ is the distance from the centre and $t$ is time. The induced electric field strength at a radial distance $r=\frac{R}{2}$ is $E=\frac{B_0{R}^2}{3\mathrm{K}}$. Find the value of $K$.

Can magnetic flux be negative?

The S.I. unit of magnetic field intensity is

A square loop of side $a$ lies in the $x-y$ plane with its sides parallel to the axes. It is moved into a region of magnetic field with a constant velocity $\overrightarrow{v}$ in the $x$-direction. The magnetic field in one region of width$a$ is given by $\overrightarrow{B}=B_0\hat{k}$ and in an adjacent region, also of width $a$, the magnetic field is $\overrightarrow{B}=-B_0\hat{k}$

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Which of the following graphs shows the emf induced in the loop as it enters the field region and finally leaves it? In these graphs $E_0=B_{0}av$.

What is magnetic flux? Differentiate between magnetic flux and electric flux.

A dynamo converts

When the current in a coil changes from $5 \mathrm{A}$ to $2 \mathrm{A}$ in $\mathrm{0}.1 \mathrm{s}$, an average voltage of $\mathrm{50\hspace{0.17em}}\mathrm{V}$ is produced. The self-inductance of the coil is

A circuit consists of a coil with inductance $L$ and an uncharged capacitor of capacitance $C$. The coil is in a constant uniform magnetic field such that the flux through the coil is $\varphi$. At time $t=0 \min$, the magnetic field is abruptly switched OFF. Let ${\omega }_0=1/\sqrt{LC}$ and ignore the resistance of the circuit. Then,

A square coil of $0.01 {\mathrm{m}}^2$ area is placed perpendicular to the uniform magnetic field of intensity ${10}^3 {\mathrm{Wbm}}^{-2}$. The magnetic flux (in weber) linked with the coil is

A loop ABCDEFA of straight edges has six corner points $A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D(0, 5, 0),$ $\mathrm{E}(0, 5, 5)$ and $F(0, 0, 5)$. The magnetic field in this region is $\overrightarrow{B}=\left(3\hat{i}+4\hat{k}\right) \mathrm{T}$. The quantity of flux through the loop ABCDEFA (in $\mathrm{Wb}$) is

Which one is the correct relation between magnetic flux $\left(\varphi \right)$. magnetic field $\left(B\right)$, area surface $A$ and angle between the magnetic field lines and perpendicular distance normal to the surface area($\theta$)

A wire of infinite length carrying current $I$ lies along the z-axis. A square loop of side $\ell$ is placed such that the plane of the loop makes an angle $74°$ with the positive $x-$axis at $\left(\ell ,0,0\right)$ and side $AB$ touches the $x-$axis and parallel to $z-$axis as shown in the figure. The magnetic flux passing through the loop is $\frac{k{\mu }_0\ell }{\pi }$. Find the value of $k$. [take $I=10 \mathrm{A}, \ln \left(1.6\right)=0.47$ and $\tan 37°=\frac{3}{4}$]