Case : Read the passage and answer the question(s). In a parallel plate air capacitor having plate separation 0.05mm, an electric field of 4X104 V/m is established between the plates. After the removal of the battery a metal plate of thickness t = 0.02 mm is inserted between the plates of the capacitor. |
What is the potential difference across capacitor before the introduction of metal plates? |
1000 V 1200 V 1500 V 2 V |
2 V |
The correct answer is Option 4: 2 V V = E x d Electric Field ($E$): $4 \times 10^4 \text{ V/m}$ Plate Separation ($d$): $0.05 \text{ mm}$ $d = 0.05 \text{ mm} = 0.05 \times 10^{-3} \text{ m}$ (or $5 \times 10^{-5} \text{ m}$) $V = (4 \times 10^4 \text{ V/m}) \times (5 \times 10^{-5} \text{ m})$
$V = 20 \times 10^{-1} \text{ V}$
$V = 2 \text{ V}$
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