Show that average value of radiant flux density 'S' over a single period 'T' is given by `S=1/(2cmu_0)E_0^2`.

Poynting vectors vec(S) is defined as vec(S)=(1)/(mu_(0))vec(E)xx vec(B) . The average value of 'vec(S)' over a single period 'T' is given by

Poynting vectors vec(S) is defined as vec(S)=(1)/(mu_(0))vec(E)xx vec(B) . The average value of 'vec(S)' over a single period 'T' is given by

The average value of current for the current shown for time period 0 to T/2 s

The average value of current for the current shown for time period 0 to (T)/(2) is

A plane EM wave travelling along z direction is described by E=E_0sin (kz-omegat) hati and B=B_0 sin (kz-omegat)hatj . show that (i) The average energy density of the wave is given by u_(av)=1/4 epsilon_0 E_0^2+1/4 (B_0^2)/(mu_0) . (ii) The time averaged intensity of the wave is given by I_(av)=1/2 cepsilon_0E_0^2 .

A plane EM wave travelling along z direction is described by E=E_0sin (kz-omegat) hati and B=B_0 sin (kz-omegat)hatj . show that (i) The average energy density of the wave is given by u_(av)=1/4 epsilon_0 E_0^2+1/4 (B_0^2)/(mu_0) . (ii) The time averaged intensity of the wave is given by I_(av)=1/2 cepsilon_0E_0^2 .

A plane EM wave travelling along z direction is described by E=E_0sin (kz-omegat) hati and B=B_0 sin (kz-omegat)hatj . show that (i) The average energy density of the wave is given by u_(av)=1/4 epsilon_0 E_0^2+1/4 (B_0^2)/(mu_0) . (ii) The time averaged intensity of the wave is given by I_(av)=1/2 cepsilon_0E_0^2 .

Assertion (A) : The average value of lt sin^(2) omega t gt is zero. Reason (R ) : The average value of function F (t) over a period T is lt F (t) gt = (1)/(T) int_(0)^(T) F (t) dt