Two long parallel wires carrying currents $8\,A$ and $15\,A$ in opposite directions are placed at a distance of $7\,cm$ from each other. A point $P$ is at equidistant from both the wires such that the lines joining the point $P$ to the wires are perpendicular to each other. The magnitude of magnetic field at $P$ is $............\times 10^{-6}\,T$. (Given : $\left.\sqrt{2}=1.4\right)$
JEE MAIN 2023, Diffcult
Download our app for free and get started
Magnetic fields due to both wires will be perpendicular to each other.
$B _1=\frac{\mu_0 i _1}{2 \pi d } \quad B _2=\frac{\mu_0 i _2}{2 \pi d }$
$B _{\text {net }}=\sqrt{ B _1^2+ B _2^2} \Rightarrow \frac{\mu_0}{2 \pi d } \sqrt{ i _1^2+ i _2^2}$
$\Rightarrow \frac{4 \pi \times 10^{-7}}{2 \pi \times(7 / \sqrt{2}) \times 10^{-2}} \times \sqrt{8^2+15^2}\left( d =\frac{7}{\sqrt{2}}\,cm \right)$
$\Rightarrow 68 \times 10^{-6}\,T$
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
- 1View SolutionThe magnetic field at the centre of current carrying coil is
- 2View SolutionIf a positive ion is moving, away from an observer with same acceleration, then the lines of force of magnetic induction will be
- 3An ammeter whose resistance is $180\,\Omega $ gives full scale deflection when current is $2\, mA$. The shunt required to convert it into an ammeter reading $20\, mA$ (in $ohms$) isView Solution
- 4Which of the following graphs correctly represents the variation of magnetic field with distance $R$ from a long straight current carrying conductor ?View Solution
- 5Two identical coils of radius $R$ and number of turns $N$ are placed perpendicular to each others in such a way that they have common centre. The current through them are $I$ and $I\sqrt 3$ . The resultant intensity of magnetic field at the centre of the coil will be (in $weber/m^2)2$View Solution
- 6The magnetic induction due to an infinitely long straight wire carrying a current $i$ at a distance $r$ from wire is given byView Solution
- 7View SolutionCurrent flows through uniform, square frames as shown. In which case is the magnetic field at the centre of the frame not zero?
- 8View SolutionIf two streams of protons move parallel to each other in the same direction, then they
- 9A galvanometer $G$ deflects full scale when a potential difference of $0.50 $ $V$ is applied. The internal resistance of the galvanometer $r_g$ is $25$ $ohms$. An ammeter is constructed by incorporating the galvanometer and an additional resistance $R_S$. The ammeter deflects full scale when a measurement of $2.0$ $A$ is made. The resistance $R_S$ is closest to : ................. $\Omega$View Solution
- 10Two similar coils of radius $R$ are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I$ and $2I$, respectively. The resultant magnetic field induction at the centre will beView Solution