JEE PYQ: Capacitance Question 30
Question 30 - 2019 (10 Apr Shift 1)
Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are:
(Graph: Line A passes through (10V, 500$\mu$C) and Line B through (10V, 80$\mu$C))
(1) 40 $\mu$F and 10 $\mu$F
(2) 60 $\mu$F and 40 $\mu$F
(3) 50 $\mu$F and 30 $\mu$F
(4) 20 $\mu$F and 30 $\mu$F
Show Answer
Answer: (1)
Solution
For parallel combination: $C^p = C_1 + C_2$. $q = 10(C_1 + C_2) = 500,\mu$C. $C_1 + C_2 = 50,\mu$F …(i). For series combination: $C_1 C_2/(C_1+C_2) = 80/10 = 8,\mu$F. $C_1 C_2 = 400$ …(ii). From (i) and (ii): $C_1 = 10,\mu$F, $C_2 = 40,\mu$F.
BETA
