JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
Magnitude of magnetic field (in \(SI\) units) at the centre of a hexagonal shape coil of side \(10\, cm\), \(50\) turns and carrying current \(I\) (Ampere) in units of \(\frac{\mu_{0} I}{\pi}\) is
- A \(250 \sqrt{3}\)
- B \(5 \sqrt{3}\)
- C \(500 \sqrt{3}\)
- D \(50 \sqrt{3}\)
Answer & Solution
Correct Answer
(C) \(500 \sqrt{3}\)
Step-by-step Solution
Detailed explanation
\(B =\frac{6 \mu_{0} I }{4 \pi a \cos 30^{\circ}} \times 2 \sin 30^{\circ} \times 50\) \(=\frac{\mu_{0} I}{\pi} \frac{150}{\sqrt{3} a }=\frac{50 \sqrt{3}}{0.1} \frac{\mu_{0} I}{\pi}\) \(=500 \sqrt{3} \frac{\mu_{0} I}{\pi}\)
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
- Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass \(=500\, g\), Decay constant \(=20 \,g / s\) then ...... \(s\) time is required for the amplitude of the system to drop to half of its initial value ? \((\ln 2=0.693)\)JEE Mains 2021 Hard
- A balloon and its content having mass \(M\) is moving up with an acceleration ' \(a\) '. The mass that must be released from the content so that the balloon starts moving up with an acceleration ' \(3 a^{\prime}\) will be
(Take ' g ' as acceleration due to gravity)JEE Mains 2025 Easy - One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperature, \(27\,^oC\).The work done on the gas will beJEE Mains 2018 Medium
- Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity.
Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid.
In the light of the above statements, choose the correct answer from the options given below:JEE Mains 2024 Medium - If \(\in\), \( E \) and \( t \) represent the free space permittivity, electric field and time respectively, then the unit of \( \frac{eE}{t} \) will be :JEE Mains 2026 Medium
- A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed: \(A.\) By changing the magnitude of the magnetic field within the coil. \(B.\) By changing the area of coil within the magnetic field. \(C.\) By changing the angle between the direction of magnetic field and the plane of the coil. \(D.\) By reversing the magnetic field direction abruptly without changing its magnitude. Choose the most appropriate answer from the options given belowJEE Mains 2023 Medium
More PYQs from JEE Mains
- A circle \(C_{1}\) passes through the origin \(O\) and has diameter \(4\) on the positive \(x\)-axis. The line \(y =2 x\) gives a chord \(OA\) of a circle \(C _{1}\). Let \(C _{2}\) be the circle with \(OA\) as a diameter. If the tangent to \(C _{2}\) at the point \(A\) meets the \(x\)-axis at \(P\) and \(y\)-axis at \(Q\), then \(QA : AP\) is equal to.JEE Mains 2022 Hard
- A plane electromagnetic wave of frequency \(35\ \mathrm{MHz}\) travels in free space along the \(\mathrm{X}\)-direction. At a particular point (in space and time) \(\overrightarrow{\mathrm{E}}=9.6\ \hat{\mathrm{j}} \mathrm{V} / \mathrm{m}\). The value of magnetic field at this point is _______.JEE Mains 2024 Hard
- If the shortest distance between the lines \(\frac{{x - 1}}{\alpha } = \frac{{y + 1}}{{ - 1}} = \frac{z}{1},(\alpha \ne \, - 1)\) and \(x+y+z +1=0= 2x - y + z + 3\) is \(\frac {1}{\sqrt 3},\) then a value \(\alpha \) isJEE Mains 2015 Hard
- Two sides of a parallelogram are along the lines, \(x + y = 3\) and \(x -y + 3 = 0\). If its diagonals intersect at \((2, 4)\), then one of its vertex isJEE Mains 2019 Hard
- Statement\(-I :\) To get a steady de output from the pulsating voltage received from a full wave rectifier we can connect a capacitor across the output parallel to the load \({R}_{{L}}\) Statement\(-II :\) To get a steady de output from the pulsating voltage received from a full wave rectifier we can connect an inductor in series with \({R}_{{L}}\). In the light of the above statements, choose the most appropriate answer from the options given below:JEE Mains 2021 Medium
- Let \(S\) be the set of all \(a \in R\) for which the angle between the vectors \(\overrightarrow{ u }= a \left(\log _{ e } b \right) \hat{ i }-6 \hat{ j }+3 \hat{ k }\) and \(\vec{v}=\left(\log _{e} b\right) \hat{i}+2 \hat{j}+2 a\left(\log _{e} b\right) \hat{k},(b>1)\) is acute Then \(S\) is equal to.JEE Mains 2022 Hard