two parallel plate capacitors of capacitance c and 2c are connected in parallel and charged to a potential difference v . if the battery is disconnected and the space between the plates of the capacitor of capacitance c is completely filled with a material of dielectric const. k then pot. diff. across the capacitor will be come (A) 3v(k+2) (B) (K+2)/ 3v (C) 3v/(k+2) (D) 3(k+2)/ v
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The potential difference across the capacitor will become
V'= 3*V/(K+2)
Option (C) is correct.
Explanation:
Since the total charge that have appeared before and after removing the battery is same.
Original charge= (2 x C + C) x V as the capacitors are connected in parallel.
After removing the battery:
New capacitance = (K x C + 2 x C) x V'.
Where V' is the final potential difference.
After equating we get:
V'= 3*V/(K+2)
Thus the potential difference across the capacitor will become
V'= 3*V/(K+2)
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