Intensity of sunlight is observed as 0.092 Wm -2 at a point in free space. What will be the peak value of magnetic field at that point? (ε0=8.85 × 10-12 C2 N-1 m-2)

Question

Intensity of sunlight is observed as 0.092 Wm -2 at a point in free space. What will be the peak value of magnetic field at that point? (ε0=8.85 × 10-12 C2 N-1 m-2) (A) 2.77 × 10-8 T (B) 1.96 × 10-8 T (C) 8.31 T (D) 5.88 T

Tardigrade Admin · Accepted Answer

I text avg =(B0 2 C/2 μ0) (1/μ0)=ϵ0 C2 I=(B0 2/2) ∈0 C3 B0=√(2 I/ϵ0 C3) B0=2.77 × 10-8 T

Q. Intensity of sunlight is observed as $0.092 W m^{- 2}$ at a point in free space. What will be the peak value of magnetic field at that point? $(ε_{0} = 8.85 \times 1 0^{- 12} C^{2} N^{- 1} m^{- 2})$

$2.77 \times 1 0^{- 8} T$

$1.96 \times 1 0^{- 8} T$

$8.31 T$

$5.88 T$

$I_{avg} = \frac{B _{0} ^{2} C}{2 μ _{0}} & \frac{1}{μ _{0}} = ϵ_{0} C^{2}$
$I = \frac{B _{0} ^{2}}{2} \in_{0} C^{3}$
$B_{0} = \frac{2 I}{ϵ _{0} C ^{3}}$
$B_{0} = 2.77 \times 1 0^{- 8} T$

Q. Intensity of sunlight is observed as 0.092Wm−2 at a point in free space. What will be the peak value of magnetic field at that point? (ε0​=8.85×10−12C2N−1m−2)

2.77×10−8T

1.96×10−8T

8.31T

5.88T