A closely wounded circular coil of radius $5\,cm$ produces a magnetic field of $37.68 \times 10^{-4}\,T$ at its center. The current through the coil is $......A$. [Given, number of turns in the coil is $100$ and $\pi=3.14]$
JEE MAIN 2022, Easy
Download our app for free and get started
$B _{\text {centre}}=\frac{N \mu_{0} I}{2 R }$
$37.68 \times 10^{-4}=\frac{100 \times 4 \pi \times 10^{-7} \times I }{2 \times 5 \times 10^{-2}}$
$I =3\,A$
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 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
- 2A galvanometer having a coil resistance of $60\,\Omega $ shows full scale deflection when a current of $1.0\, amp$ passes through it. It can be converted into an ammeter to read currents upto $5.0\, amp$ byView Solution
- 3Two concentric coils each of radius equal to $2\pi \,{\rm{ }}cm$ are placed at right angles to each other. $3$ $ampere$ and $4$ $ampere$ are the currents flowing in each coil respectively. The magnetic induction in $Weber/{m^2}$ at the centre of the coils will be $({\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A.m)$View Solution
- 4Two infinite length wires carries currents $8A$ and $6A$ respectively and placed along $X$ and $Y$-axis. Magnetic field at a point $P\,(0,\,0,\,d)\,m$ will beView Solution
- 5The resistance of a galvanometer is $50\, ohm$ and the maximum current which can be passed through it is $0.002\, A$. What resistance must be connected to it in order to convert it into an ammeter of range $0 -0.5\, A$ ?....$ohm$View Solution
- 6A wire carrying current $I$ and other carrying $2I$ in the same direction produces a magnetic field $B$ at the mid point. What will be the field when $2I$ wire is switched offView Solution
- 7Two long and parallel wires are at a distance of $0.1\, m$ and a current of $5\, A$ is flowing in each of these wires. The force per unit length due to these wires will beView Solution
- 8The maximum current that can be measured by a galvanometer of resistance $40 \,\Omega$ is $10\, mA$. It is converted into a voltmeter that can read upto $50\, V$. The resistance to be connected in series with the galvanometer is ... (in $ohm$)View Solution
- 9Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field $B = B_0 \hat k$ .View Solution
- 10View SolutionIf the current is doubled, the deflection is also doubled in