Ampere's Circuital Law

What is similarity between gauss law and ampere's law?

Ampere's law is analogous to _____ law in electrostatics.

Ampere's law is analogous to

An infinite straight wire is passing through the centre of a circular loop of radius $R$. The wire carries a current $i$. The length of the wire makes an angle ${60}^0$ with the plane of the loop. The value is found $\int \vec{\mathrm{B}}\text{.d}\vec{\mathrm{l}}=\frac{\sqrt{x}}{2}{\mu }_{0}i$, when evaluated along the loop. Calculate the value of $x$.

A long straight wire of radius $a$ carries a steady current $i.$ The current is uniformly distributed across its cross-section. The ratio of the magnetic field at $\frac{a}{2}\mathrm{ }\mathrm{a}\mathrm{n}\mathrm{d} 2a$ is

When the number of turns in a toroidal coil is doubled, then the value of magnetic flux density will become,

The direction of a magnetic field at a point is given by the tangent to the magnetic lines of force at that point.

Defined magnetic field lines?

The magnetic field lines can intersect each other.

Explain the properties of magnetic field lines?

A homogeneous electric field $\overrightarrow{E}$ and a uniform magnetic field $\overrightarrow{B}$ are pointing in the same direction. A proton is projected with its velocity parallel to $\overrightarrow{E}$. It will :

A long straight wire carrying a current $l_1$ is kept along the axis of a circular loop carrying a current $l_2.$ The long wire will

Properties of magnetic lines of force are:

Magnetic line of forces

Find the magnetic field created by a current carrying wire of current $2 \mathrm{A}$ at a distance of $10 \mathrm{cm}$ from the wire in micro Telsa.

The circular integral of magnetic field in a closed loop is proportional to the net current going through the area of the loop.

Choose the incorrect option-

The two ends of $\mathrm{a}$ non-conducting spring of force constant $50{\mathrm{Nm}}^{-1}$ and unstretched length of $2 \mathrm{cm}$ are connected to the mid points of two straight parallel rods each of length $4 \mathrm{m}$. When $100 \mathrm{A}$ current is passed through each rod in the same direction, the work done on the spring in $\mathrm{mJ}$ is

What are the conditions of magnetic field in an amperian loop?

What is the direction of the current if the direction of the magnetic field is in anti-clockwise direction around an amperian loop?