Interstellar space has an extremely weak magnetic field of the order of `10^(-12)T.` Can such a weak fleld be of any significant consequence? Explain.

The magnitude of an electric field along x-axis is 1V.m^(-1) and in the same region the magnitude of a magnetic field along y-axis is 10^(-6) T . What should be the velocity of an electron in that region so that it will continue to move with uniform velocity along z-axis without suffering any deviation?

Copper has 8.0xx10^(28) conduction electrons per metre^3 . A copper wire of length 1m and cross sectional area 8.0xx10^(-6) m^2 carrying current and lying at right angle to a magnetic field of strength 5xx10^(-3) T experiences a force of 8.0xx10^(-2)N . Calculate the drift velocity of free electrons in the wire.

A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm. s^(-1) in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10^(-3)T.cm^(-1) along the negative x-direction and is decreasing in time at the rate of 10^(-3)T.s^(-1) . Determine the direction and magnitude of induced current in the loop if its resistance is 4.50 m Omega .

A jet plane is travelling toward, west at a speed of 1800 km/h. What is the voltage difference developed between the ends of the wing having a span of 25 m, if the Earth's magnetic field at the location has a magnitude of 5xx10^(-4)T and the dip angle is 30^@ .

Electromagnetic waves propagate through free space or a medium as transverse waves. The electric and magnetic fields are perpendicular to each other as well as perpendicular to the direction of propagation of waves at each point. In the direction of wave propagation, electric field vecE and magnetic field vecB form a right-handed cartesian coordinate system. During the propagation of electromagnetic wave, total energy of electromagnetic wave is distributed equally between electric and magnetic fields. Since in_0 and mu_0 are permittivity and permeability of free space, the velocity of electromagnetic wave, c=(in_0 mu_0)^(-1//2) . Energy density i.e., energy in unit volume due to electric field at any point, u_E=1/2in_0E^2 Similarly, energy density due to magnetic field , u_M=1/(2mu_0)B^2 . If the electromagnetic wave propagates along x-direction, then the equations of electric and magnetic field are respectively. E=E_0sin(omegat-kx) and B=B_0sin(omegat-kx) Here, the frequency and the wavelength of oscillating electric and magnetic fields are f=omega/(2pi) and lambda=(2pi)/k respectively. Thus E_"rms"=E_0/sqrt2 and B_"rms"=B_0/sqrt2 , where E_0/B_0=c . Therefore, average energy density baru_E=1/2in_0E_"rms"^2 and baru_M=1/(2mu_0)B_"rms"^2 . The intensity of the electromagnetic wave at a point, I=cbaru=c(baru_E+baru_B) . To answer the following questions , we assume that in case of propagation of electromagnetic wave through free space, c=3xx10^8 m.s^(-1) and mu_0=4pixx10^(-7) H.m^(-1) If the peak value of electric field at a point in electromagnetic wave is 15 V . m^(-1) , then average electrical energy density (in j . m^(-3) )