JEE Main · 2019 · 08 Apr 2019 · Shift 2 · Capacitance

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A parallel plate capacitor has capacitance. One of its two plates is given charge and the other plate, charge. The potential difference developed across the capacitor is:
  1. (A)3 V
  2. (B)1 V✓ Correct
  3. (C)5 V
  4. (D)2 V

Answer: (B)

Solution

The trap here is that both plates carry charge of the same sign, so you cannot simply divide a total charge by the capacitance. When two plates carry charges and , the charge that actually faces across the gap and sets up the field between the plates is . With on one plate and on the other, the inner facing surfaces carry (one surface , the other ), while the outer surfaces share the remainder as each. Only that on the inner surfaces produces the potential difference, so .

JEE Main · 2019 · 08 Apr 2019 · Shift 2 · Single correct option

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