The magnetic field at the centre of current carrying coil is
A$\frac{{{\mu _0}ni}}{{2r}}$
B$\frac{{{\mu _0}}}{{2\pi }}\frac{{ni}}{r}$
C$\frac{{{\mu _0}ni}}{{4r}}$
D${\mu _0}ni$
Easy
Download our app for free and get started
A$\frac{{{\mu _0}ni}}{{2r}}$
a (a) Magnetic field at the centre of current carrying coil is
$B = \frac{{{\mu _0}}}{{4\pi }} \cdot \frac{{2\pi ni}}{r} = \frac{{{\mu _0}ni}}{{2r}}$
Download our app
and 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.*
A particle having some charge is projected in $x-y$ plane with a speed of $5\ m/s$ in a region having uniform magnetic field along $z-$ axis. Which of the following cannot be the possible value of velocity at any time ?
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 :......$Ω$
A uniform electric field and a uniform magnetic field are produced, pointed in the same direction. An electron is projected with its velocity pointing in the same direction
A long solenoid is formed by winding $70$ turns $cm ^{-1}$. If $2.0\,A$ current flows, then the magnetic field produced inside the solenoid is $.......\times 10^{-4}\,T$ $\left(\mu_0=4 \pi \times 10^{-7}\,TmA ^{-1}\right)$
An insulating thin rod of length $l$ has a linear charge density $\rho \left( x \right) = {\rho _0}\,\frac{x}{l}$ on it. The rod is rotated about an axis passing through the origin $(x = 0)$ and perpendicular to the rod. If the rod makes $n$ rotations per second, then the time averaged magnetic moment of the rod is
The magnetic force acting on a charged particle of charge $-2\, \mu C$ in a magnetic field of $2\, T$ acting in $y$ direction, when the particle velocity is $(2i + 3 j) \times 10^6\,\, m/s$ is
The magnetic field is uniform for $y>0$ and points into the plane. The magnetic field is uniform and points out of the plane for $y<0$. A proton denoted by filled circle leaves $y=0$ in the $-y$-direction with some speed as shown below.Which of the following best denotes the trajectory of the proton?