Light wave travelling in air along x-direction is given by $${E_y} = 540\sin \pi \times {10^4}(x - ct)\,V{m^{ - 1}}$$. Then, the peak value of magnetic field of wave will be (Given c = 3 $$\times$$ 10^{8} ms^{$$-$$1})

The rms value of conduction current in a parallel plate capacitor is $$6.9 \,\mu \mathrm{A}$$. The capacity of this capacitor, if it is connected to $$230 \mathrm{~V}$$ ac supply with an angular frequency of $$600 \,\mathrm{rad} / \mathrm{s}$$, will be :

An expression for oscillating electric field in a plane electromagnetic wave is given as E_{z} = 300 sin(5$$\pi$$ $$\times$$ 10^{3}x $$-$$ 3$$\pi$$ $$\times$$ 10^{11}t) Vm^{$$-$$1}

Then, the value of magnetic field amplitude will be :

(Given : speed of light in Vacuum c = 3 $$\times$$ 10^{8} ms^{$$-$$1})

An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum magnitude of 60 Vm^{$$-$$1}. Choose the correct equations for electric and magnetic fields if the EM wave is propagating in vacuum :