A closed loop $PQRS$ carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments $PS, SR$ and $RQ$ are $F_1, F_2$ and $F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment $QP$ is
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A closely wound solenoid of $2000$ $turns$ and area of cross-section $1.5 \times 10^{-4}\ m^2$ carries a current of $2.0\, A.$ It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field $5 \times 10^{- 2}$ $tesla$ making an angle of $30^o $ with the axis of the solenoid. The torque on the solenoid will be
A proton (mass $m$ ) accelerated by a potential difference $V$ flies through a uniform transverse magnetic field $B.$ The field occupies a region of space by width $'d'$. If $\alpha $ be the angle of deviation of proton from initial direction of motion (see figure), the value of $sin\,\alpha $ will be
A particle of charge $-q$ and mass $m$ enters a uniform magnetic field $\vec{B}$ at $A$ with speed $v_1$ at an angle $\alpha$ and leaves the field at $C$ with speed $v_2$ at an angle $\beta$ as shown. Then
A voltmeter has a resistance of $G\, ohms$ and range $V\, volts$. The value of resistance used in series to convert it into a voltmeter of range $nV$ $volts$ is
Two particles $A$ and $B$ having equal charges $+6\,C$, after being accelerated through the same potential difference, enter in a region of uniform magnetic field and describe circular paths of radii $2\,cm$ and $3\,cm$ respectively. The ratio of mass of $A$ to that of $B$ is
A conductor lies along the $z-$axis $a$ $-1.5$$ \le Z < 1.5\,m$ carries a fixed current of $10.0\ A$ in $ - {\hat a_z}$ direction (see figure). For a field $\vec B$ $=$ $3.0 \times 10^{-4}$ $e^{-0.2x}$ ${\hat a_y}\,T$ find the power required to move the conductor at constant speed to $x = 2.0\ m, y = 0\ m$ in $5 \times 10^{-3}\ s$. Assume parallel motion along the $x-$axis........$ W$
Four wires each of length $2.0\, metres$ are bent into four loops $P$, $Q$, $R$ and $S$ and then suspended into uniform magnetic field. Same current is passed in each loop. Which statement is correct
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
Wires $1$ and $2$ carrying currents ${i_1}$ and ${i_2}$respectively are inclined at an angle $\theta $ to each other. What is the force on a small element $dl$ of wire $2$ at a distance of $r$ from wire $1$ (as shown in figure) due to the magnetic field of wire $1$
A galvanometer having a coil resistance $100 \;\Omega$ gives a full scale deflection when a current of $1 \;\mathrm{mA}$ is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of $10\; \mathrm{V} ?$......$k\Omega$