Give equation which relate `c,mu_(0),in_(0)`.

A plane EM wave travelling in vacuum along z - direction is given by vec(E )=E_(0)sin (kz - omega t)hat(i) and vec(B)=B_(0)sin(kz - omega t)hat(j) . By using similar process and the equation int vec(B).vec(d)l = mu_(0)I+ in_(0)(d phi_(E ))/(dt) , prove that c=(1)/(sqrt(mu_(0)in_(0)))

Write equation which gives relation between t_(F)^(@) and t_(C)^(@) .

From the figure shown establish a relation between mu_(1),mu_(2),mu_(3) .

The dimensional formula of mu_(0) in_(0) is ……..

Write magnitude and dimensional formula of 1/sqrt(mu_(0)in_(0)) .

Show that the magnetic field B at a point in between the plates of a parallel plate capacitor during charging is B=(mu_(0)in_(0)r)/(2).(dE)/(dt) (symbols having usual meaning).

A plane EM wave travelling along z - direction is desctribed vec(E )=E_(0)sin(kz - omega t)hat(i) and veC(B)=B_(0)sin (kz - omega)hat(j) . Show that The average energy density of the wave is given by U_(av)=(1)/(4)in_(0)E_(0)^(2)+(1)/(4).(B_(0)^(2))/(mu_(0)) .

Show that the product of the roots of a quadratic equation ax^(2)+bx+c=0 (a ne 0) is (c )/(a) .

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is