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A voltmeter having resistance of $50 × 10^3$ $Omega$ is used to measure the voltage in a circuit. To increase the range of measurement $3$ times the additional series resistance required is
Two straight infinitely long current carrying wires are kept along $z-$ axis at the coordinates $(0, a, 0)$ and $(0, -a, 0)$ respectively as shown in the figure. The current in each of the wire is equal and along negative $z-$ axis (into the plane of the paper). The variation of magnetic field on the $x-$ axis will be approximately
A galvanometer has resistance of $7\,\Omega $ and gives a full scale deflection for a current of $1.0\, A$. How will you convert it into a voltmeter of range $10\, V$
Current $I$ is flowing along the path $ABCDA$ consisting of four edges of a cube (figure $-a$), produces a magnetic field $B_0$ at the centre of the cube. Find the magnetic field $B$ produced at the center of the cube by a current $I$ flowing along the path of the six edges $ABCGHEA$ (figure $b$)
A portion of a conductive wire is bent in the form of a semicircle of radius $r$ as shown below in fig. At the centre of semicircle, the magnetic induction will be
A magnet of magnetic moment $ 20 $ $C.G.S.$ units is freely suspended in a uniform magnetic field of intensity $0.3 $ $ C.G.S.$ units. The amount of work done in deflecting it by an angle of $30°$ in $ C.G.S.$ units is