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Consider three quantities $x = E/B,$ $y =\sqrt {1/{\mu _0}{\varepsilon _0}} $ and $z = l$ . Here, $l$ is the length of a wire, $C$ is a $CR$ capacitance and $R$ is a resistance. All other symbols have standard meanings.
A current of $10\,A$ is passing through a long wire which has semicircular loop of the radius $20\,cm$ as shown in the figure. Magnetic field produced at the centre of the loop is
A power line lies along the east-west direction and carries a current of $10\, ampere$. The force per metre due to the earth's magnetic field of ${10^{ - 4}}\,tesla$ is
Two protons $A$ and $B$ move parallel to the $x$-axis in opposite directions with equal speeds $v$. At the instant shown, the ratio of magnetic force and electric force acting on the proton $A$ is ( $c=$ speed of light in vacuum)
The flux density obtained at the centre of a circular coil of radius $R$ which carries a current $i$, is $B_0$. At a distance $‘pR’$ from the centre on the axis, the flux density will be
A thin circular frame of radius $'a'$ is made of insulating material. A square loop is constructed with in it. If loop carrying current $I$ , then magnetic induction at geometrical centre $'O'$ will be
Two identical conducting wires $AOB$ and $COD$ are placed at right angles to each other. The wire $AOB$ carries an electric current $I_1$ and $COD$ carries a current $I_2$ . The magnetic field on a point lying at a distance $d$ from $O$, in a direction perpendicular to the plane of the wires $AOB$ and $COD$, will be given by
A Helmholtz coil has pair of loops, each with $N$ turns and radius $R$. They are placed coaxially at distance $R$ and the same current $I$ flows through the loops in the same direction. The magnitude of magnetic field at $P$, midway between the centres $A$ and $C$, is given by (Refer to figure)
A uniform magnetic field $B$ of $0.3\, T$ is along the positive $Z-$ direction . A rectangular loop $(abcd)$ of sides $10\, cm\times5\, cm$ carries a current $I$ of $12\, A$. Out of the following different orientations which one corresponds to stable equilibrium ?