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:
- (A)3 V
- (B)1 V✓ Correct
- (C)5 V
- (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