Ampere's Law and Displacement Current - NEET Physics Questions

Question 11: moderate

Which of the following conclusion can be drawn if an electromagnetic wave satisfies the Ampere’s law for vacuum?

1. \(\mu_0 \varepsilon_0 = \frac{B_0}{E_0 c}\)

2. \(c = \frac{B_0}{E_0}\)

3. \(\oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt}\)

4. Both (1) and (2)

View Answer

For an EM wave in vacuum, \(c = \frac{E_0}{B_0}\) and \(c = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}\). Substituting \(\frac{B_0}{E_0} = \frac{1}{c}\) into \(mu_0 \varepsilon_0 = \frac{B_0}{E_0 c}\) gives \(mu_0 \varepsilon_0 = \frac{1}{c^2}\), which is true.

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