A long solenoid is formed by winding $20$ $turns/cm$. The current necessary to produce a magnetic field of $20$ $milli\,tesla$ inside the solenoid will be approximately .....$A$ $(\frac{{{\mu _0}}}{{4\pi }} = {10^{ - 7}}\,tesla - metre/ampere)$
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A proton moving with a velocity, $2.5 \times {10^7}\,m/s$, enters a magnetic field of intensity $2.5\,T$ making an angle ${30^o}$ with the magnetic field. The force on the proton is
Two parallel wires in free space are $10\, cm$ apart and each carries a current of $10\, A$ in the same direction. The force one wire exerts on the other per metre of length is
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 massless square loop, of wire of resistance $10\,\Omega$. supporting a mass of $1\,g$. hangs vertically with one of its sides in a uniform magnetic field of $10^3\, G$, directed outwards in the shaded region. A dc voltage $V$ is applied to the loop. For what value of V. the magnetic force will exactly balance the weight of the supporting mass of $1\,g$ ? (If sides of the loop $=10\,cm , g =10\,ms ^{-2}$ )
A current of $I$ $ampere$ is passed through a straight wire of length $2.0$ $metres$. The magnetic field at a point in air at a distance of $3$ $metres$ from either end of wire and lying on the axis of wire will be