A solenoid of $1.5$ $metre$ length and $4.0\, cm$ diameter posses $10$ $turn$ per $cm$. A current of $5$ $ampere$ is flowing through it. The magnetic induction at axis inside the solenoid is
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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
A beam of well collimated cathode rays travelling with a speed of $5 \times {10^6}\,m{s^{ - 1}}$ enter a region of mutually perpendicular electric and magnetic fields and emerge undeviated from this region. If $| B |=0.02\; T$, the magnitude of the electric field is
Heart-lung machines and artifical kidney machines employ blood pumps. A mechanical pump can mangle blood cells.Figure represents an electromagnetic pump. The blood is confined to an electrically insulating tube, represented as a rectangle of width $\omega$ and height $h.$ Two electrodes fit into the top and the bottom of the tube. The potential difference between them establishes an electric current through the blood, with current density $J$ over a section of length $L.$ A perpendicular magnetic field exists in the same region. The section of liquid in the magnetic field experiences a pressure increase given by :-
A rectangular loop carrying a current $i$ is placed in a uniform magnetic field $B$. The area enclosed by the loop is $A$. If there are n turns in the loop, the torque acting on the loop is given by
A proton and an electron both moving with the same velocity $v$ enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that
A voltmeter has resistance of $2000\, ohms$ and it can measure upto $2\,V$. If we want to increase its range to $10\, V$, then the required resistance in series will be ........... $\Omega $
A proton and an alpha particle both enter a region of uniform magnetic field $B,$ moving at right angles to the field $B.$ If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is $1\,\, MeV,$ the energy acquired by the alpha particle will be......$MeV$