Chapter 31: Q. 23 (page 902)

At what distance from a $10 W$ point source of electromagnetic waves is the magnetic field amplitude $1.0 m T$ ?

Short Answer

Expert verified

Distance, $d = 0.0816 m$

Step by step solution

Electromagnetic waves

EM waves are waves that are formed when an electrical field and a physical phenomenon vibrate together.

Find Average Current

Given Values:

P = 10 W

$B_{o} = 1 \times 10^{- 6} T$

$c = 3 \times 10^{8} m / s$

we know that:

$E_{o} = (3 \times 10^{8}) 10^{- 6}$

$E_{o} = 300 : V / m$

Now,

$E_{o}^{2} = \frac{2 I_{a v g}}{c \cdot ε_{o}}$

$I_{a v g} = \frac{c \cdot ε_{o} E^{2}}{2}$

$I_{a v g} = \frac{3 \times 10^{8} \times 8.85 \times 10^{- 12} \times (300)^{2}}{2}$

$l_{a v g} = 119.47$

Find Distance

Average Current,

$I_{a v g} = \frac{P}{spherical area}$

$119.47 = \frac{10}{4 π d^{2}}$

$4 π d^{2} = \frac{10}{119.47}$

$d = {(\frac{0.0837}{4 \times π})}^{1 / 2}$

$d = 0.0816 m$

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At what distance from a $10 W$ point source of electromagnetic waves is the magnetic field amplitude $1.0 m T$ ?

Short Answer

Step by step solution

Electromagnetic waves

Find Average Current

Find Distance

One App. One Place for Learning.

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At what distance from a 10W point source of electromagnetic waves is the magnetic field amplitude 1.0mT?

Short Answer

Step by step solution

Electromagnetic waves

Find Average Current

Find Distance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Conservation of Energy and Momentum

Electromagnetism

Magnetism

Electricity

Fluids

Study anywhere. Anytime. Across all devices.

At what distance from a $10 W$ point source of electromagnetic waves is the magnetic field amplitude $1.0 m T$ ?