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
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A particle of mass $'m'$ and carrying a charge $'q'$ enters with a velocity $'v'$ perpendicular to a uniform magnetic field. The time period of rotation of the particle
A charge $Q$ is moving $\overrightarrow{dl}$ distance in the magnetic field $\overrightarrow{ B }$. Find the value of work done by $\overrightarrow{ B }$.
A straight rod of mass $m$ and length $L$ is suspended from the identical spring as shown in the figure. The spring stretched by a distance of $x_0$ due to the weight of the wire. The circuit has total resistance $R\Omega$ . When the magnetic field perpendicular to the plane of the paper is switched on, springs are observed to extend further by the same distance. The magnetic field strength is
Two long conductors are arranged as shown above to form overlapping cylinders, each of raidus $r$, whose centers are separated by a distance $d$. Current of density $J$ flows into the plane of the page along the shaded part of one conductor and an equal current flows out of the plane of the page along the shaded portion of the other, as shown. What are the magnitude and direction of the magnetic field at point $A?$
A straight wire of length $0.5\, metre$ and carrying a current of $1.2\, ampere$ placed in a uniform magnetic field of induction $2\, Tesla$. The magnetic field is perpendicular to the length of the wire. The force on the wire is.......$N$
A particle of charge $+q$ and mass $m$ moving under the influence of a uniform electric field $E\hat i$ and a uniform magnetic field $B\hat k$ follows trajectory from $P$ to $Q$ as shown in figure. The velocities at $P$ and $Q$ are $v\hat i$ and $ - 2v\hat j$ respectively. Which of the following statement(s) is/are correct
In the adjoining circuit diagram, the readings of ammeter and voltmeter are $2\, A$ and $120 \,V$, respectively. If the value of $R$ is $75\, \Omega$, then the voltmeter resistance will be $\Omega$