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Chapter 15: Problem 2163

The SI unit of displacement current is (A) coulomb (B) henry (C) ampere (D) faraday

Short Answer

Expert verified
The SI unit of displacement current is (C) ampere.

Step by step solution

01

Identify the formula

The formula for displacement current (I_D) can be found using Maxwell's equations. The formula is given by: I_D = ε₀ * dφ_E/dt where ε₀ is the vacuum permittivity constant (measured in coulombs^2/newton-meter^2), dφ_E is the change in electric flux over time, and dt is the change in time. Step 2: Analyze the units in the formula
02

Analyze units

Since we are looking for the SI unit of displacement current, let's analyze the units in the formula: - ε₀ has the units of coulombs^2/newton-meter^2 - dφ_E has the unit of electric flux which is measured in volts * meters (V * m) or newtons * meters^2 / coulomb (N * m^2 / C) - dt has the unit of time, which is measured in seconds (s) Step 3: Determine the units for displacement current
03

Determine the units

Plug the units for ε₀, dφ_E, and dt into the displacement current formula: I_D = (coulombs^2/newton-meter^2) * (newtons * meters^2 / coulomb) / seconds Now simplify the units by canceling the newtons, meters^2, and one of the coulombs: I_D = (coulombs^1 / seconds) The resulting unit is coulombs per second, which is equivalent to the unit of electric current, the ampere (A). Therefore, the SI unit of displacement current is: (C) ampere

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Most popular questions from this chapter

At room temperature, if the relative permittivity of water is 80 and the relative permeability be \(0.0222\) then the velocity of light in water is \(\mathrm{m} / \mathrm{s}\) (A) \(2.5 \times 10^{8}\) (B) \(2.26 \times 10^{8}\) (C) \(3.5 \times 10^{8}\) (D) \(3 \times 10^{8}\)

In microwave oven, we use electromagnetic oscillators which produce electromagnetic waves in the wavelength range (A) \(1 \mathrm{~mm}\) to \(10 \mathrm{~m}\) (B) \(0.7 \mu \mathrm{m}\) to \(1 \mathrm{~mm}\) (C) \(0.1 \mathrm{~m}\) to \(1 \mathrm{~mm}\) (D) \(0.1 \mu \mathrm{m}\) to \(0.7 \mu \mathrm{m}\)

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Maxwells equations are derived from the laws of (A) electricity (B) magnetism (C) both electricity and magnetism (D) mechanics

SI unit of displacement current is (A) coulomb (B) ampere (C) faraday (D) volt
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