Question
What is the net force on the square coil
✓
Answer
(a) Force on side $BC$ and $AD$ are equal but opposite so their net will be zero.
But ${F_{AB}} = {10^{ - 7}} \times \frac{{2 \times 2 \times 1}}{{2 \times {{10}^{ - 2}}}} \times 15 \times {10^{ - 2}} = 3 \times {10^{ - 6}}\,N$
and ${F_{CD}} = {10^{ - 7}} \times \frac{{2 \times 2 \times 1}}{{\left( {12 \times {{10}^{ - 2}}} \right)}} \times 15 \times {10^{ - 2}}$$ = 0.5 \times {10^{ - 6}}\,N$
$==>$ $\,{F_{net}} = {F_{AB}} - {F_{CD}}$ $ = 2.5 \times {10^{ - 6}}\,N$
$ = 25 \times {10^{ - 7}}\,N$, towards the wire.
But ${F_{AB}} = {10^{ - 7}} \times \frac{{2 \times 2 \times 1}}{{2 \times {{10}^{ - 2}}}} \times 15 \times {10^{ - 2}} = 3 \times {10^{ - 6}}\,N$
and ${F_{CD}} = {10^{ - 7}} \times \frac{{2 \times 2 \times 1}}{{\left( {12 \times {{10}^{ - 2}}} \right)}} \times 15 \times {10^{ - 2}}$$ = 0.5 \times {10^{ - 6}}\,N$
$==>$ $\,{F_{net}} = {F_{AB}} - {F_{CD}}$ $ = 2.5 \times {10^{ - 6}}\,N$
$ = 25 \times {10^{ - 7}}\,N$, towards the wire.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A ball is launched from the top of Mt. Everest which is at elevation of $9000 \,m$. The ball moves in circular orbit around earth. Acceleration due to gravity near the earth's surface is $g$. The magnitude of the ball's acceleration while in orbit is
→In an $A.C$. circuit the current
→The lift of an air plane is based on
A point object, $O$ is placed in front of two thin symmetrical coaxial convex lenses $L _1$ and $L _2$ with focal length $24\,cm$ and $9\,cm$ respectively. The distance between two lenses is $10\,cm$ and the object is placed $6\,cm$ away from lens $L _1$ as shown in the figure. The distance between the object and the image formed by the system of two lenses is .........$cm$
→A screw gauge has least count of $0.01\, mm$ and there are $50$ divisions in its circular scale. The pitch of the screw gauge is $........mm$
→The condensers of capacity ${C_1}$ and ${C_2}$ are connected in parallel, then the equivalent capacitance is
→A circular coil of wire carries a current. $PQ$ is a part of a very long wire carrying a current and passing close to the circular coil. If the directions of currents are those shown in figure, what is the direction of force acting on $PQ$ ?
→Regarding speed of sound in gas match the following
→| $(A)$ Temperature of gas is made $4$ times and pressure $2$ times | $(P)$ speed becomes $2\sqrt 2$ times |
| $(B)$ Only pressure is made $4$ times without change in temperature | $(Q)$ speed become $2$ times |
| $(C)$ Only temperature is changed to $4$ times | $(R)$ speed remains unchanged |
| $(D)$ Molecular mass of the gas is made $4$ times | $(S)$ speed remains half |
A container is divided into two equal parts $I$ and $II$ by a partition with a small hole of diameter $d$. The two partitions are filled with same ideal gas, but held at temperatures $T_{ I }=150 \,K$ and $T_{ II }=300 \,K$ by connecting to heat reservoirs. Let $\lambda_{1}$ and $\lambda_{1 I}$ be the mean free paths of the gas particles in the two parts, such that $d >> \lambda_{ I }$ and $d >> \lambda_{ II }$. Then, the $\lambda_{ I } / \lambda_{ II }$ is close to
→During a blood transfusion a needle is inserted in a vein where the gauge pressure is $2000\,Pa$. At what height must the blood container be placed so that blood may just enter the vein ?
→[Density of blood $= 1.06 \times 10^3\,kgm^{-3}$ ].