An eΘ is moving in a zero gravity region towards upward direction & magnetic field in this region is along east direction. Then what will be the direction of electric field in this region so that eΘ can remain undeflected :
The acceleration of an eΘ at a certain moment in a magnetic field
\[\overrightarrow{B}=2\hat{i}+3\hat{j}+4\hat{k}\] is
\[\overrightarrow{a}=x\hat{i}+\hat{j}-\hat{k}\] .
The value of x is :
Radius of the current carrying coil is R. If magnetic field at any point on the axis of the coil is \[Bx=\frac{B_{0}}{64}\] then find out axial distance of this point :
A ring of radius r is carrying a current I. The magnetic field B is always perpendicular to the ring as shown in Fig. The force on the ring is :

Three long, straight and parallel wires carrying currents are arranged as shown in figure. The force experienced by 10 cm length of wire Q is :

A current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III & IV arrange them in the decreasing order of potential Energy :

Two bar magnets with magnetic moments 2M and M are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth’s magnetic field with magnet having magnetic moment 2M making and angle θ with the magnetic meridian such that :
Time period for a magnet is T. If it is divided in four equal parts along its axis and perpendicular to its axis as shown then time period for each part will be :

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve
y =a sin (πx/L), 0 ≤ x ≤ 2L. The force acting on the wire is :

Same current i = 2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is :
