There are $50$ $turns$ of a wire in every $cm$ length of a long solenoid. If $4\, ampere$ current is flowing in the solenoid, the approximate value of magnetic field along its axis at an internal point and at one end will be respectively
Medium
Download our app for free and get started
(c) The magnetic field in the solenoid along its axis
$(i)$ At an internal point$ = {\mu _o}ni$
$ = 4\pi \times {10^{ - 7}} \times 5000 \times 4 = 25.1 \times {10^{ - 3}}\,Wb/{m^2}$
$({\rm{Here }}n = 50\,turns/cm = 5000\,turns/m)$
$(ii)$ At one end
${B_{end}} = \frac{1}{2}{B_{in}} = \frac{{{\mu _0}ni}}{2} = \frac{{25.1 \times {{10}^{ - 3}}}}{2}$$ = 12.6 \times {10^{ - 3}}\,Wb/{m^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 current carrying wire $LN$ is bent in the from shown below. If wire carries a current of $10\, A$ and it is placed in a magnetic field of $5\,T$ which acts perpendicular to the paper outwards then it will experience a force.........$N$View Solution
- 2Current $I$ is flowing in conductor shaped as shown in the figure. The radius of the curved part is $r$ and the length of straight portion is very large. The value of the magnetic field at the centre $O$ will beView Solution
- 3A galvenometer has a resistance of $100 \,\Omega $ and a full scale range of $50\, \mu A$ . It can be used as a voltmeter or as a high range ammeter provided a resistance is added to it. Pick the correct range and resistance combinationView Solution
- 4A galvanometer gives full scale reading of $50\ mA$ , when a $p.d.$ , across its terminals is $0.15\ V$ . It can be used as an ammeter of range $0 - 100\ A$ by connecting a shunt resistance ofView Solution
- 5An electron and a proton enter region of uniform magnetic field in a direction at right angles to the field with the same kinetic energy. They describe circular paths of radius ${r_e}$ and ${r_p}$ respectively. ThenView Solution
- 6The relation between voltage sensitivity (${\sigma _V}$) and current sensitivity $({\sigma _i})$ of a moving coil galvanometer is (Resistance of Galvanometer = $G$)View Solution
- 7When a resistance of $5\,\Omega$ is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of $250\,mA$, however when $1050\,\Omega$ resistance is connected with it in series, it gives full scale deflection for $25$ volt. The resistance of galvanometer is $......\,\Omega$.View Solution
- 8A cylindrical conductor of radius $R$ is carrying a constant current. The plot of the magnitude of the magnetic field, $B$ with the distance $d$, from the centre of the conductor, is correctly represented by the figureView Solution
- 9Find magnetic field at $O$View Solution
- 10View SolutionA positively charged particle moving due east enters a region of uniform magnetic field directed vertically upwards. The particle will