Current Electricity Charging Discharging Of Capacitors Question 423
Question: A source of e.m.f. E = 15 V and having negligible internal resistance is connected to a variable resistance so that the current in the circuit increases with time as i = 1.2 t + 3. Then, the total charge that will flow in first five second will be
[Kerala PMT 2004; J & K CET 2004]
Options:
A) 10 C
B) 20 C
C) 30 C
D) 40 C
Show Answer
Answer:
Correct Answer: C
Solution:
$ i=\frac{dQ}{dt} $
Therefore $ dQ=idt $
Therefore $ Q=\int _{,t _{1}}^{,t _{2}}{i},dt=\int _{0}^{5}{(1.2t+3),}dt $
$ =[ \frac{1.2t^{2}}{2}+3t ] _{0}^{5}=30C $
BETA
