In an electromagnetic wave, the electric field oscillates sinusoidally with amplitude 48 Vm -1. The RMS value of oscillating magnetic field will be

Question

In an electromagnetic wave, the electric field oscillates sinusoidally with amplitude 48 Vm -1. The RMS value of oscillating magnetic field will be (A) 1.6 × 10-8 T (B) 16 × 10-9 T (C) 144 × 108 T (D) 11.3 × 10-8 T

Tardigrade Admin · Accepted Answer

B0=(E0/c)=(48/3 × 108)=16 × 10-8 T B rms =(B0/√2)=(16 × 10-8/√2) =8 √2 × 10-8 T

Q. In an electromagnetic wave, the electric field oscillates sinusoidally with amplitude $48 V m^{- 1}$ . The RMS value of oscillating magnetic field will be

$1.6 \times 1 0^{- 8} T$

$16 \times 1 0^{- 9} T$

$144 \times 1 0^{8} T$

$11.3 \times 1 0^{- 8} T$

$B_{0} = \frac{E _{0}}{c} = \frac{48}{3 \times 1 0 ^{8}} = 16 \times 1 0^{- 8} T$
$B_{r m s} = \frac{B _{0}}{2} = \frac{16 \times 1 0 ^{- 8}}{2}$
$= 82 \times 1 0^{- 8} T$

Q. In an electromagnetic wave, the electric field oscillates sinusoidally with amplitude 48Vm−1. The RMS value of oscillating magnetic field will be

1.6×10−8T

16×10−9T

144×108T

11.3×10−8T