A displacement current of \(4.425~\mu\text A\) is developed in the space between the plates of a parallel plate capacitor when voltage is changing at a rate of \(10^{6}~\text{V/s}.\) The area of each plate of the capacitor is \(40~\text{cm}^2.\) The distance between each plate of the capacitor is \(x \times 10^{-3}~\text m.\) The value of \(x\) is:
(the permittivity of free space, \(\epsilon_0=8.85\times10^{-12}~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) )
1. \(2\)
2. \(4\)
3. \(6\)
4. \(8\)
Subtopic:  Displacement Current |
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Level 2: 60%+
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A parallel plate capacitor with capacitance \(C\) is connected to a battery of voltage \(V_0.\) A closed Gaussian surface is shown by the dotted boundary in the diagram. What is the electric flux through this surface?
           

1. \(\dfrac{2CV_0}{\varepsilon_0}\)

2. \(\dfrac{CV_0}{\varepsilon_0}\)

3. \(\dfrac{CV_0}{2\varepsilon_0}\)

​​​​​​​4. ​​​​​​​\(\dfrac{3CV_0}{2\varepsilon_0}\)
Subtopic:  Displacement Current |
 52%
Level 3: 35%-60%
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