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A coil having N turns is wound tightly in the form of a spiral with inner and outer radii a and b respectively. Find the magnetic field at centre, when a current I passes through coil :

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Important Questions on Magnetic Effects of Current and Magnetism

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JEE Main
IMPORTANT
Consider a galvanometer shunted with 5 Ω resistance and 2% of current passes through it. What is the resistance of the given galvanometer?
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JEE Main
IMPORTANT
A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the centroid of the triangle is :
(Assume that the current is flowing in the clockwise direction.)
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The magnetic field vector of an electromagnetic wave is given by B=B0i^+j^2coskz-ωt where i^, j^ represents unit vector along x and y-axis respectively. At t=0 s, two electric charges q1 of 4π coulomb and q2 of 2π coulomb located at 0, 0, πk and 0, 0, 3πk, respectively, have the same velocity of 0.5ci^, (where c is the velocity of light ). The ratio of the force acting on charge q1 to q2 is :
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A long solenoid with 1000 turns m-1 has a core material with relative permeability 500 and volume 103 cm3. If the core material is replaced by another material having relative permeability of 750 with same volume maintaining same current of 0.75 A in the solenoid, the fractional change in the magnetic moment of the core would be approximately x499. Find the value of x.
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Following plots show Magnetization (M) vs Magnetising field (H) and Magnetic susceptibility (χ) vs Temperature (T) graph :

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Which of the following combination will be represented by a diamagnetic material?

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There are two infinitely long straight current-carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductors is 1:1. The magnetic field at point P is_________.

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JEE Main
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A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let rd and rα be their respective radii of circular path. The value of rdrα is equal to:
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JEE Main
IMPORTANT
At an angle of 30° to the magnetic meridian, the apparent dip is 45°. Find the true dip: