Electromagnetic Waves
ICSE · Class 12 · Physics
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A capacitor has plate area 0.020 m² and plate separation 2.0 mm. If the electric field between the plates changes at the rate of 3.0 × 10^5 V m^-1 s^-1, what is the displacement current?
A charging capacitor carries a conduction current of 0.40 A in its connecting wires. What is the displacement current between its plates during charging?
An electromagnetic wave in vacuum has frequency 6.0 × 10^8 Hz and electric field amplitude 24 N/C. What are its wavelength and magnetic field amplitude?
A radio signal has frequency 9.0 × 10^6 Hz. What is its wavelength?
Sample Questions
A wave in a medium travels at 2.0 × 10^8 m/s. If the medium has relative permeability 1.0, what is its relative permittivity?
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2.25
Use v = c / sqrt(μr εr). Rearranging gives εr = c²/(v² μr). Substituting c = 3.0 × 10^8 m/s, v = 2.0 × 10^8 m/s, μr = 1.0, we get εr = (3.0²)/(2.0²) = 9/4 = 2.25.
An electromagnetic wave has electric field amplitude 120 N/C. What is its magnetic field amplitude in vacuum?
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4.0 × 10^-7 T
Use E/B = c, so B0 = E0/c = 120 / (3.0 × 10^8) = 4.0 × 10^-7 T.
A plane EM wave in vacuum has electric field amplitude 60 N/C. What is its intensity?
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4.77 × 10^-2 W m^-2
Use ⟨I⟩ = 1/2 ε0 E0² c. Substituting ε0 = 8.85 × 10^-12, E0 = 60 N/C, c = 3.0 × 10^8 m/s gives ⟨I⟩ = 0.5 × 8.85 × 10^-12 × 3600 × 3.0 × 10^8 = 4.77 × 10^-2 W m^-2.
A capacitor is fully charged. Which statement about current is correct?
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Ic = 0 and Id = 0
When the capacitor is fully charged, no current flows in the wires and the electric field between the plates is no longer changing. Therefore both conduction current and displacement current become zero.
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