The coil in a moving coil galvanometer experiences torque proportional to current passes through it. If a steady current $i$ is passed through it the steady deflection of the coil is found to be $90^o$ . Now the steady current is switched off and a charge $q$ is suddenly passed through coil. If the coil has $N$ turns of area $A$ and its moment of inertia is $I$ about the axis it is going to rotate then the maximum angle through which it deflects upon passing charge $q$ is
Diffcult
Download our app for free and get started
$\mathrm{NiAB}=\frac{\mathrm{C} \pi}{2}$
$C=\frac{2 N i A B}{\pi}$
$\mathrm{I} \omega=\mathrm{NABQ} \Rightarrow \frac{1}{2} \mathrm{I} \omega^{2}=\frac{1}{2} \mathrm{C} \quad \theta_{\max }^{2}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A particle of mass $m = 1.67 \times 10^{-27}\, kg$ and charge $q = 1.6 \times 10^{-19} \, C$ enters a region of uniform magnetic field of strength $1$ $tesla$ along the direction shown in the figure. The speed of the particle is $10^7\, m/s.$ The magnetic field is directed along the inward normal to the plane of the paper. The particle enters the field at $C$ and leaves at $D.$ Then the angle $\theta$ must be :-.........$^o$View Solution
- 2A rectangular loop carrying a current $i$ is situated near a long straight wire such that the wire is parallel to the one of the sides of the loop and is in the plane of the loop. If a steady current $I$ is established in wire as shown in figure, the loop willView Solution
- 3In figure two parallel infinitely long current carrying wires are shown. If resultant magnetic field at point $A$ is zero. Then determine current $I.$ (in $A$)View Solution
- 4A $10 \;eV$ electron is circulating in a plane at right angles to a uniform field at magnetic induction $10^{-4} \;W b / m^{2}(=1.0$ gauss), the orbital radius of electron is ........ $cm$View Solution
- 5The dimensional formula for the physical quantityis $\frac{{{E^2}{\mu _0}{\varepsilon _0}}}{{{B^2}}}$ ($E =$ electric field and $B =$ magnetic field)View Solution
- 6A wire carrying $I$ is shaped as shown. Section $AB$ is a quarter circle of radius $r.$ The magnetic field at $C$ is directedView Solution
- 7A galvanometer has a resistance of $50\ \Omega$ and it allows maximum current of $5 \mathrm{~mA}$. It can be converted into voltmeter to measure upto $100 \mathrm{~V}$ by connecting in series a resistor of resistanceView Solution
- 8A milliammeter of range $10\, mA$ has a coil of resistance $1 \,\Omega$. To use it as voltmeter of range $10\, volt$, the resistance that must be connected in series with it, will be ............. $\Omega $View Solution
- 9An arc of a circle of radius $R$ subtends an angle $\frac{\pi }{2}$ at the centre. It carries a current $i$. The magnetic field at the centre will beView Solution
- 10A point charge $Q\left(=3 \times 10^{-12} C \right)$ rotates uniformly in a vertical circle of radius $R(=1 \,mm )$. The axis of the circle is aligned along the magnetic axis of the earth. At what value of the angular speed $\omega$, the eff ective magnetic field at the centre of the circle .............. $rad / s$ will be reduced to zero? (Horizontal component of earth's magnetic field is $30 \,\mu T )$View Solution