HW8_soln[1]

# HW8_soln[1] - 25-43 Picture the Problem The rms value of...

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25-43: Picture the Problem: The rms value of the electric field in an electromagnetic wave is doubled. Strategy: Recall the connections between the electric and magnetic fields E = cB (equation 25-9) and between the field magnitudes and the intensity (equation 25-10) when answering the conceptual questions. Solution: 1. (a) The electric and magnetic fields in an electromagnetic field are proportional to one another; in fact, E = cB . Therefore, doubling the rms value of the electric field doubles the rms value of the magnetic field. We conclude the rms value of the magnetic field changes by a multiplicative factor of 2.00. 2. (b) The intensity of an electromagnetic wave, on the other hand, depends on the square of the electric and magnetic fields. As a result, doubling the fields quadruples the intensity of the wave. We conclude the rms average intensity of the wave changes by a multiplicative factor of 4.00. Insight: The more intense fields contain more energy (by a factor of 4.00) per unit volume but travel at the same speed as the less intense fields.

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HW8_soln[1] - 25-43 Picture the Problem The rms value of...

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