In Ampere's law `(oint (vec B).(vec dl))=(mu_0)I`, the current outside the curve is not included on the right hand side. Does it mean that the magnetic field B calculated by using Ampere's law , gives the contribution of only the currents crossing the area bounded by the curve?

A circular coil with cross - sectional area 0.1 cm^(2) is kept in a uniform magnetic field of strength 0.2 T. If the current passing in the coil is 3 A and plane of the loop is perpendicular to the direction of magnetic field . Calculate (a) total torque on the coil (b) total force on the coil (c ) average force on each electron in the coil due to the magnetic field of the free electron density for the material of the wire is 10^(28) m^(-3) .

Maxwell noticed that Ampere's circuital law is inconsistant where the electric current changes with time. He showed that consistency required an additional source of magnetic field. a. What is the current called and which is responsible for the magnetic field ? b. Given the expression for this type of current. c. How it differs from conduction current ?

Using the formulae ( (vecF)=(vec qv)xx (vec B) and B= (mu_0)i/(2pi r ) ,find the SI units of the magnetic field B and the permeability constant

A currrent I is passed through a silver strip of width d and area of cross section A. The number of free electrons per unit volume is n. (a) Find the drift velocity v of the electrons. (b) If a magnetic field B exists in the region as shown in what is the average magnetic force on the free electrons? (c) Due to the magnetic force, the free electrons get accumulated on one side of the conductor along its length. This produces a transverse electric field in the conductor which opposes the magnetic force on the electrons. Find the magnitude of the electric field which will be the potential diference developed across the width of the conductor due to the electron- accumulation? The appearance of a transverse emf, when a current-carrying wire is placed in a magnetic field, is called hall effect.

A wire, carrying a current i , is kept in the x-y plane along the curve y = A sin ((2pi)/(lambda) x) . A magnetic field B exists in the z-direction. Find the magnitude of the magnetic force on the portion of the wire between x = 0 and x = lambda .

Magnetic scalar potential is defined as U(vec r_2) - U vec (r_1) = - int_vec(r_1) ^vec(r_2) vecB.vec(dl) Apply this equation to a closed curve enclosing a long straight wire. The RHS of the above equation is then mu_0 i by Ampere's law. We see that U vec r_2) != U(vec r_1) even when vec r_2 = vec r_1 . Can we have a magnetic scalar potential in this case.?

Figure shows a solenoid current of I- ampere Its area is 'A' and number of turns n. a. What is the flux density of the solenoid field inside ? b. If magnetic material in the form of a rod of area 'a' (a lt lt A) is inserted into the solenoid, what is the magnetising field strength ? c. Find the total flux density inside the specimen.

A hypthetical magnetic field existing in a region is given by vecB= B_0 vece_r, where vec_r denotes the uit vector along the redial direction. A circular loop of radus a, carrying a current I, is placed with its plane parallel to the x-y plane and the centre at (0,0, d) .Find the magnitude of the magnetic force acting on the loop.