Do magnetic forces obey Newton's third law? Verify for two current elements `d vec I_1 = dI vec i` located at the origin and `d vec I_2 = dI vec j` located at (0 , R , 0) both carry current I .

An electron is moving with an initial velocity vec v = v_0 vec i and is in a magnetic field vec B = B_0 vec j . Then its de Broglie wavelength

Find a vector, which is parallel to vec v = vec i - 2 vec j and has a magnitude 10.

Find the magnitude of a vector vec a = frac( hat i - hat j )( sqrt2)

Two long conductors, separated by a distance d carry current I_(1) and I_(2) in the same direction . They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed . The distance is also increased to 3d . The new value of the force between them is

Two long conductors separated by a distance 50 cm carry current I_(1) and I_(2) in the same direction. They exert a force F on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to 1.5 m. The new value of the force between them is

vec A = 2 hat i + 3 hat j + 4 hat k and vec B = hat i - 2 hat j + 3 hat k find vec A . vec B

The magnetic field at a distance r from a long wire carryimg current I is 0.4 T. The magnetic field at a distance 2r is

Show that vectors vec a = 2 hat i + 5 hat j + 6 hat k and vec b = hat i + frac(5)(2) hat j + 3 hat k are parallel

Two identical coils each of radius r and having number of turns n are lying in perpendicular planes such that they have common centre. Find the magnetic field at the centre of the coils if they carry currents equal to I and sqrt31 respectively.

If vec A = 2 hat i + 2 hat j - hat k and vec B = hat i + 4 hat j- 3 hat k then find (a) vec A * vec B (b) vec A xx vec B