In an electromagnetic wave, if the amplitude of magnetic field is 3 ×10^-10 T, the amplitude of

step 1 In this problem, given that b0 is equal to 3 multiplication 10 to the power minus 10 t, also we

In an electromagnetic wave, if the amplitude of magnetic...

In an electromagnetic wave, if the amplitude of magnetic field is $3 \times 10^{-10} \mathrm{~T}$, the amplitude of the associated electric field will be (A) $9 \times 10^{-2} \overline{\mathrm{Vm}^{-1}}$ (B) $3 \times 10^{-10} \mathrm{Vm}^{-1}$ (C) $3 \times 10^{-2} \mathrm{Vm}^{-1}$ (D) $1 \times 10^{-18} \mathrm{Vm}^{-1}$

In an electromagnetic wave, if the amplitude of magnetic field is $3 \times 10^{-10} \mathrm{~T}$, the amplitude of the associated electric field will be
(A) $9 \times 10^{-2} \overline{\mathrm{Vm}^{-1}}$
(B) $3 \times 10^{-10} \mathrm{Vm}^{-1}$
(C) $3 \times 10^{-2} \mathrm{Vm}^{-1}$
(D) $1 \times 10^{-18} \mathrm{Vm}^{-1}$

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Key Concepts

Speed of Light

The speed of light in a vacuum, approximately 3 × 10^8 m/s, is a key constant in physics that not only defines the speed at which light and all electromagnetic waves travel but also serves as the conversion factor between the electric and magnetic field amplitudes in electromagnetic waves.

Electromagnetic Waves

Electromagnetic waves consist of oscillating electric and magnetic fields that propagate through space, and their behavior is governed by Maxwell's equations. They travel at the speed of light in a vacuum, and the oscillating fields are perpendicular to each other and to the direction of propagation.

Relationship Between Electric and Magnetic Field Amplitudes

In a vacuum, the amplitudes of the electric field (E) and magnetic field (B) are directly related by the speed of light (c) through the equation E = cB. This fundamental relation shows that knowing one field’s amplitude allows you to determine the other’s by multiplying or dividing by the speed of light.

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