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A closely packed coil having $1000$ turns has an average radius of $62.8\,cm$. If current carried by the wire of the coil is $1\,A$, the value of magnetic field produced at the centre of the coil will be (permeability of free space $=4 \pi \times 10^{-7}\,H / m$ ) nearly
A galvanometer having a coil resistance of $60\,\,\Omega$ shows full scale deflection when a current of $1.0$ $amp$ passes through it. It can be converted into an ammeter to read currents upto $5.0$ $amp$ by
An arbitrary shaped closed coil is made of a wire of length $L$ and a current $I$ ampere is flowing in it. If the plane of the coil is perpendicular to magnetic field $\mathop B\limits^ \to $, the force on the coil is
In an experiment, electrons are accelerated, from rest, by applying, a voltage of $500 \,V.$ Calculate the radius of the path if a magnetic field $100\,mT$ is then applied. [Charge of the electron $= 1.6 \times 10^{-19}\,C$ Mass of the electron $= 9.1 \times 10^{-31}\,kg$ ]
Five very long, straight wires are bound together to form a small cable. Currents carried by the wires are ${I_1} = 20\,A,$ ${I_2} = - \,6\,A,$ ${I_3} = 12\,A,\,{I_4} = - 7\,A,\,{I_5} = 18\,A.$ The magnetic induction at a distance of $10\, cm$ from the cable is
What are the directions of the magnetic field between and outside a pair of two parallel large sheets carrying currents in the same directions, as illustrated in Figure (from the side shown)?
A proton is projected with a velocity $10^7\, m/s$, at right angles to a uniform magnetic field of induction $100\, mT$. The time (in second) taken by the proton to traverse $90^o$ arc is $(m_p = 1.65\times10^{-27}\, kg$ and $q_p = 1.6\times10^{-19}\, C)$