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$3\, A$ of current is flowing in a linear conductor having a length of $40\, cm$. The conductor is placed in a magnetic field of strength $500$ $gauss$ and makes an angle of $30^\circ $ with the direction of the field. It experiences a force of magnitude
A particle having a charge of $10.0\,\mu C$ and mass $1\,\mu g$ moves in a circle of radius $10\,cm$ under the influence of a magnetic field of induction $0.1\,T$. When the particle is at a point $P$, a uniform electric field is switched on so that the particle starts moving along the tangent with a uniform velocity. The electric field is......$V/m$
Four wires, each of length $2.0\,m$, are bent into four loops $P,\,Q,\,R$ and $S$ and then suspended in a uniform magnetic field. If the same current is passed in each, then the torque will be maximum on the loop
The earth's magnetic induction at a certain point is $7 \times {10^{ - 5}}\,Wb/{m^2}.$ This is to be annulled by the magnetic induction at the centre of a circular conducting loop of radius $5 \,cm$. The required current in the loop is......$A$
A parallel plate capacitor of area $60\, cm^2$ and separation $3\, mm$ is charged initially to $90\, \mu C$. If the medium between the plate gets slightly conducting and the plate loses the charge initially at the rate of $2.5\times10^{-8}\, C/s$, then what is the magnetic field between the plates ?
In the figure shown a current $I_1$ is established in the long straight wire $AB$.Another wire $CD$ carrying current $I_2$ is placed in the plane of the paper. The line joining the ends of this wire is perpendicular to the wire $AB$. The force on the wire $CD$ is:
Two parallel long current carrying wire separated by a distance $2 \mathrm{r}$ are shown in the figure. The ratio of magnetic field at $\mathrm{A}$ to the magnetic field produced at $C$ is $\frac{x}{7}$. The value of $x$ is $\qquad$
Two charges of same magnitude move in two circles of radii $R_1=R$ and $R_2=2 R$ in a region of constant uniform magnetic field $B _0$. The work $W_1$ and $W_2$ done by the magnetic field in the two cases respectively, are such that
Through two parallel wires $A$ and $B$, $10$ and $2$ $ampere$ of currents are passed respectively in opposite direction. If the wire $A$ is infinitely long and the length of the wire $B$ is $ 2\, m$, the force on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be