A conductor $ABCDE$, shaped as shown, carries a current i. It is placed in the $xy$ plane with the ends $A$ and $E$ on the $x$-axis. $A$ uniform magnetic field of magnitude $B$ exists in the region. The force acting on it will be
Azero, if $B$ is in the $x-$ direction
B$\lambda Bi$ in the $z-$ direction, if $B$ is in the $y-$ direction
C$\lambda Bi$ in the negative $y-$ direction, if $B$ is in the $z-$ direction
D
All of the above
Medium
Download our app for free and get started
D
All of the above
d To find the Ampere's force on a conductor of any shape, replace the conductor by an imagninary straight conductor joining the two ends of the given conductor. So, if $\mathrm{B}$ is in $\mathrm{x}$ $-direction,$ then the imaginary staright conductor will be along the field and the force acting on it will be zero. If $B$ is in $y$ direction, then the force will be $\lambda B I$ acting along the $\mathrm{x}$ direction. Similarly, if $\mathrm{B}$ is in the $z$ direction, then the force will be $\lambda B I$, acting along the negative $y$ direction.
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 $72 \; \Omega$ galvanometer is shunted by a resistance of $8 \; \Omega$. The percentage of the total current which passes through the galvanometer is $.....$
A square loop $ABCD$, carrying a current $i,$ is placed near and coplanar with a long straight conductor $XY$ carrying a current $I,$ the net force on the loop will be
A uniform magnetic field $B$ is acting from south to north and is of magnitude $1.5$ $Wb/{m^2}$. If a proton having mass $ = 1.7 \times {10^{ - 27}}\,kg$ and charge $ = 1.6 \times {10^{ - 19}}\,C$ moves in this field vertically downwards with energy $5\, MeV$, then the force acting on it will be
The magnetic field existing in a region is given by $\vec{B}=B_0\left(1+\frac{x}{l}\right) \hat{k}$. A square loop of edge I and carrying a current $i$, is placed with its edge parallel to the $x-y$ axes. Find the magnitude of the net magnetic force experienced by the loop
A particle of charge $q$, mass $m$ enters in a region of magnetic field $B$ with velocity $V_0 \widehat i$. Find the value of $d$ if the particle emerges from the region of magnetic field at an angle $30^o$ to its ititial velocity:-
A uniform beam of positively charged particles is moving with a constant velocity parallel to another beam of negatively charged particles moving with the same velocity in opposite direction separated by a distance $d.$ The variation of magnetic field $B$ along a perpendicular line draw between the two beams is best represented by