The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_A=10 cm$ and $r_B=20 cm$ respectively are equal if: (Where $N _A, I _{ A }$ and $N _B, I _{ B }$ are number of turn and current of $A$ and $B$ respectively)
JEE MAIN 2023, Medium
Download our app for free and get started
$M = NIA$
$M _{ A }= M _{ B }$
$N _{ A } I _{ A } A _{ A }= N _{ B } I _{ B } A _{ B }$
$N _{ A } I _{ A } \pi(0.1)^2= N _{ B } I _{ B } \pi(0.2)^2$
$N _{ A } I _{ A }=4 N _{ B } I _{ B }$
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 charge particle of $2\,\mu\,C$ accelerated by a potential difference of $100\,V$ enters a region of uniform magnetic field of magnitude $4\,m\,T$ at right angle to the direction of field. The charge particle completes semicircle of radius $3\,cm$ inside magnetic field. The mass of the charge particle is $........\times 10^{-18}\,kg$.View Solution
- 2A particle having a mass of $10^{- 2} \,kg$ carries a charge of $5 \times 10^{-8}\, C.$ The particle is given an initial horizontal velocity of $10^5\, m/s $ in the presence of electric field $E$ and magnetic field $B.$ To keep the particle moving in a horizontal direction, it is necessary thatView Solution
$(1)$ $\vec B$ should be perpendicular to the direction of velocity and $\vec E$ should be along the direction of velocity$(2)$ Both $\vec B$ and $\vec E$ should be along the direction of velocity$(3)$ Both $\vec B$ and $\vec E$ are mutually perpendicular and perpendicular to the direction of velocity.$(4)$ $\vec B$ should be along the direction of velocity and $\vec E$ should be perpendicular to the direction of velocityWhich one of the following pairs of statements is possible? - 3An electron (charge $q$ $coulomb$) enters a magnetic field of $H$ $weber/{m^2}$ with a velocity of $v\,m/s$ in the same direction as that of the field the force on the electron isView Solution
- 4$A$ microammeter has a resistance of $100\,\Omega$ and $a$ full scale range of $50\,\mu$ $A$. It can be used as a voltmeter or a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination $(s)$.View Solution
- 5The expression for magnetic induction inside a solenoid of length $L$ carrying a current $I$ and having $N$ number of turns isView Solution
- 6View SolutionWhich of the following statement is correct :
- 7The ($\tau -\theta$) graph for a coil isView Solution
- 8This question has Statement $1$ and Statement $2$ . Of the four choices given after the Statements, choose the one that best describes the two Statements.View Solution
Statement $1$: A charged particle is moving at right angle to a static magnetic field . During the motion the kinetic energy of the charge remains unchanged.
Statement $2$: Static magnetic field exert force on a moving charge in the direction perpendicular to the magnetic field.
- 9${H^ + },\,H{e^ + }$ and ${O^{ + + }}$ ions having same kinetic energy pass through a region of space filled with uniform magnetic field $B$ directed perpendicular to the velocity of ions. The masses of the ions ${H^ + },\,H{e^ + }$and ${O^{ + + }}$ are respectively in the ratio $1:4:16$. As a resultView Solution
- 10A 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 figure$.....$View Solution