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The expression of the electric field associated with an electromagnetic wave in vacuum is given by

E vector=(100vm^-1)z^sin(2π×10^8t+kx)

Determine the wave number, frequency, the direction of propagation and the magnitude and direction of the magnetic field associated with the wave.


A wire loop of resistance 20 ohm and radius 5.0cm is kept in the plane of this paper in a changing uniform magnetic field B vector.The direction of B vector is perpendicular to the plane of the page and points out of it. If the magnitude of the induced current in the loop is 3.0mA. determine the rate of change of the magnitude of the magnetic field B vector


An electric current of I = 6A flows in a conductor bent into a square ABCD with side a = 10cm. Determine the magnetic induction vector B and the magnetic field strength at the center O of the circuit.


how did the distance of the sensor from the electromagnet affect the reading on the sensor?


Using Maxwell's equation in vacuum, derive the wave equation for the x-component of the electric field vector associated with an electromagnetic wave


State ohm law


Two particles with electric charges Q and —3Q are separated by a distance of 1.2 m. (a) If Q = 4.5 C, what is the electric force between the two particles? (b) If Q —4.5 C, how does the answer change?


Determine the direction of maximum increase of the scalar field f(x,y,z)=xe^y+z^2 at the point O( 1,ln2,3).


Three charges A, B and C are placed in a straight line and in this order. The charge of A is twice that of C and has a value of 40.0nC. B carries 6.25 x 10^11 electrons. A is 5cm from B and 8.5cm from C.
(a) Show that the charge of B is -100nC.
(b) Calculate the resultant force exerted on C due to A and B.
(c) Show without any calculation, that the resultant force on C cannot be zero if it is now placed between A and B.

A cyclist overcomes a resistive force or 30 N in order to cycle 30 m. It takes her 6 seconds to cycle this distance. Calculate the power of the cyclist


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