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 :

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 :

The radius of curvature of the path of the charged particle in a uniform magnetic field is directly proportional to

Two thick wires and two thin wires, all of the same materials and same length form a square in
the three different ways P, Q and R as shown in fig with current connection shown, the magnetic field at the centre of the square is zero in cases: