JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
The magnitude of magnetic induction at mid-point \(O\) due to current arrangement as shown in Fig will be
- A \(\frac{\mu_0 I}{2 \pi a }\)
- B \(0\)
- C \(\frac{\mu_0 I }{4 \pi a }\)
- D \(\frac{\mu_0 I}{\pi a }\)
Answer & Solution
Correct Answer
(D) \(\frac{\mu_0 I}{\pi a }\)
Step-by-step Solution
Detailed explanation
Magnetic field due to current in \(BC\) and \(ET\) are outward at point ' \(O\) ' \(B _0=\frac{\mu_0 i }{4 \pi r }+\frac{\mu_0 i }{4 \pi r }=\frac{\mu_0 i }{2 \pi r }=\frac{\mu_0 i }{\pi a }\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- Light travels in two media \(M _{1}\) and \(M _{2}\) with speeds \(1.5 \times 10^{8} ms ^{-1}\) and \(2.0 \times 10^{8} ms ^{-1}\) respectively. The critical angle between them is.JEE Mains 2022 Medium
- An ideal fluid of density \(800 \; kgm ^{-3}\), flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from \(a\) to \(\frac{ a }{2}\). The pressure difference between the wide and narrow sections of pipe is \(4100 \; Pa\). At wider section, the velocity of fluid is \(\frac{\sqrt{x}}{6} \; ms ^{-1}\) for \(x = \dots\) \(\left(\right.\) Given \(g =10 \; m ^{-2}\) )
JEE Mains 2022 Hard - In a dilute gas at pressure \(P\) and temperature \(T\), the mean time between successive collisions of a molecule varies with \(T\) asJEE Mains 2020 Medium
- To find the focal length of a convex mirror, a student records the following data
The focal length of the convex lens is \(f_1\) and that of mirror is \(f_2\). Then taking index correction to be negligibly small, \(f_1\) and \(f_2\) are close toObject Pin Convex Lens Convex Mirror Image Pin \(22.2\,cm\) \(32.2\,cm\) \(45.8\,cm\) \(71.2\,cm\) JEE Mains 2016 Hard - The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form interference patterns. The least number of the bright fringes of 480 nm light that are required for the first coincidence with the bright fringes formed by 600 nm light is _______.JEE Mains 2025 Medium
- A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of \(100 \mathrm{~cm}^2\) with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with water and the other side is filled with the liquid having density \(1.5 \times 10^3 \mathrm{~kg} / \mathrm{m}^3\). What force one needs to apply on the hinged door so that it does not get opened ?
(Acceleration due to gravity \(=10 \mathrm{~m} / \mathrm{s}^2\))JEE Mains 2025 Easy
More PYQs from JEE Mains
- Let \(\alpha, \beta(\alpha \neq \beta)\) be the values of m , for which the equations \(x+y+z=1 ; x+2 y+4 z=\mathrm{m}\) and \(x+4 y+10 z=m^2\) have infinitely many solutions. Then the value of \(\sum_{n=1}^{10}\left(n^\alpha+n^\beta\right)\) is equal to :JEE Mains 2025 Easy
- Equivalent resistance between the adjacent corners of a regular \(n\)-sided polygon of uniform wire of resistance \(R\) would be:JEE Mains 2023 Medium
- On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally, the Huygens' principle leads us to conclude that as it travels, the light beamJEE Mains 2015 Easy
- If \(\alpha, \beta \in R\) are such that \(1-2 i\) (here \(i ^{2}=-1\) ) is a root of \(z^{2}+\alpha z+\beta=0,\) then \((\alpha-\beta)\) is equal to ..... .JEE Mains 2021 Medium
- Given below are two statements:
Statement I: In a Young's double slit experiment, the angular separation of fringes will increase as the screen is moved away from the plane of the slits
Statement II : In a Young's double slit experiment, the angular separation of fringes will increase when monochromatic source is replaced by another monochromatic source of higher wavelength
In the light of the above statements, choose the correct answer from the options given below:JEE Mains 2026 Hard - A small bulb is placed at the bottom of a tank containing water to a depth of \(\sqrt{7} \; m\). The refractive index of water is \(\frac{4}{3}\). The area of the surface of water through which light from the bulb can emerge out is \(x \,\pi m ^{2}\). The value of \(x\) is ...............JEE Mains 2022 Medium