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Capacitor question

2021 · 31 Aug · Shift 1 · Q71
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  5. /2021 · 31 Aug · Shift 1 · Q71

Capacitor question

2021 · 31 Aug · Shift 1 · Q71

JEE MainPhysicsCapacitorNumerical+4 / −1
A capacitor of 50 μ\muμ F is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is ‾\underline{\hspace{2cm}}​μ\muμ C. JEE Main 2021 (Online) 31st August Morning Shift Physics - Capacitor Question 77 English
Numerical answer
View written solutionFree

Correct answer: 100

The figure is not provided, so the exact circuit cannot be analyzed directly. However, we can still infer the likely intended result from the given stored answer and the standard capacitor relation.

For a capacitor, Q=CVQ = CVQ=CV where:

  • C=50 μFC = 50\,\mu\text{F}C=50μF
  • QQQ is in μC\mu\text{C}μC if VVV is in volts.

Thus, Q=50×V  (μC)Q = 50\times V\; (\mu\text{C})Q=50×V(μC)

To match the stored answer 100 μC100\,\mu\text{C}100μC, 100=50×V100 = 50\times V100=50×V V=2 VV = 2\text{ V}V=2 V

So the capacitor must have an effective potential difference of 2 2\,2V across it, giving Q=50 μF×2 V=100 μCQ = 50\,\mu\text{F}\times 2\,\text{V} = 100\,\mu\text{C}Q=50μF×2V=100μC

Therefore, the charge on the upper plate is 100 μC\boxed{100\,\mu\text{C}}100μC​

Since the actual circuit diagram is missing, this conclusion is conditional on the intended voltage across the capacitor being 2 2\,2V.

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