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A long straight metal rod has a very long hole of radius $‘a’$ drilled parallel to the rod axis as shown in the figure. If the rod carries a current $‘i’$ find the value of magnetic induction on the axis of the hole, where $OC = c$
A long solenoid has a radius $a$ and number of turns per unit length is $n$. If it carries a current $i$, then the magnetic field on its axis is directly proportional to
A galvanometer of resistance $20 \,\Omega$ is to be converted into an ammeter of range $1\, A$. If a current of $1\, mA$ produces full scale deflection, the shunt required for the purpose is ................ $\Omega $
When a charged particle moving with velocity $\vec v$ is subjected to a magnetic field of induction $\vec B$, the force on it is non-zero. This implies that
An electron having a charge e moves with a velocity $v$ in positive $x$ direction. A magnetic field acts on it in positive $y$ direction. The force on the electron acts in (where outward direction is taken as positive $z$-axis).
A galvanometer having a coil resistance of $100\ \Omega$. gives a full scale deflection, when a currect of $I\ mA$ is passed through it. The value of the resistance, which can convert this galvanometer into ammeter giving a full scale deflection for a current of $10\ A$, is :......$Ω$
In a galvanometer, the deflection becomes one half when the galvanometer is shunted by a $20\,\,\Omega$ resistor. The galvanometer resistance is ............... $\Omega$
In the figure shown there are two semicircles of radii ${r_1}$ and ${r_2}$ in which a current $i$ is flowing. The magnetic induction at the centre $O$ will be