Q50. Displacement current (ia) = wodΦε / dt Where symbols have their usual meanings. Which of the fo

Q: What is the correct answer for CUET UG Physics Q50?

The correct answer is B. The displacement current (i_d) is a concept introduced by Maxwell and is one of the terms in Ampere-Maxwell's circuital law. It is defined as i_d = ε₀ (dΦ_E/dt), where ε₀ is the permittivity of free space and Φ_E is the electric flux. In the question, 'ω₀' is used instead of ε₀. Let's assume 'ω₀' represents the permittivity of free space in this context. So, the displacement current is given as i

Q: Q50. Displacement current (ia) = wodΦε / dt Where symbols have their usual meanings. Which of the following options gives correct equation for displacement current? (a) id = ω₀ d(BA)/dt (b) id = Aω₀…

The correct answer is B. The displacement current (i_d) is a concept introduced by Maxwell and is one of the terms in Ampere-Maxwell's circuital law. It is defined as i_d = ε₀ (dΦ_E/dt), where ε₀ is the permittivity of free space and Φ_E is the electric flux. In the question, 'ω₀' is used instead of ε₀. Let's assume 'ω₀' represents the permittivity of free space in this context. So, the displacement current is given as i

Q: What are the options for this CUET UG Physics question?

A. i_d = ω₀ d(BA)/dt · B. i_d = Aω₀ dE/dt · C. i_a = qAω₀ dE/dt · D. i_d = Aω₀ de/q dt

Question

Q50. Displacement current (ia) = wodΦε / dt Where symbols have their usual meanings. Which of the following options gives correct equation for displacement current?
(a) id = ω₀ d(BA)/dt
(b) id = Aω₀ dE/dt
(c) ia = qAω₀ dE/dt
(d) id = Aω₀ de/q dt

FirstInTest · Accepted Answer

The displacement current (i_d) is a concept introduced by Maxwell and is one of the terms in Ampere-Maxwell's circuital law. It is defined as i_d = ε₀ (dΦ_E/dt), where ε₀ is the permittivity of free space and Φ_E is the electric flux. 
In the question, 'ω₀' is used instead of ε₀. Let's assume 'ω₀' represents the permittivity of free space in this context. So, the displacement current is given as i_d = ω₀ (dΦ_E/dt). 
For a uniform electric field E passing perpendicularly through an area A, the electric flux is Φ_E = E * A. If the area A is constant over time, then dΦ_E/dt = A (dE/dt). 
Substituting this into the displacement current equation: i_d = ω₀ A (dE/dt). 
This derived expression directly matches option (b).

Answer

i_d = ω₀ d(BA)/dt

Answer

i_d = Aω₀ dE/dt

Answer

i_a = qAω₀ dE/dt

Answer

i_d = Aω₀ de/q dt

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