In the figure, battery B supplies 18 V . Find the charge on each capacitor first
ID: 2138434 • Letter: I
Question
In the figure, battery B supplies 18 V. Find the charge on each capacitor first when only switch S1 is closed. Take C1 = 1.8? F, C2 = 2.6? F, C3 =3.2? F, and C4 = 4.9? F.
Q1?
Q2?
Q3?
Q4?
Find the charge on each capacitor later when switch S2 is also closed.
Q1?
Q2?
Q3?
Q4?
In the figure, battery B supplies 18 V. Find the charge on each capacitor first when only switch S1 is closed Take C1 = 1.8? F, C2 = 2.6? F, C3 =3.2? F, and C4 = 4.9? F. Find the charge on each capacitor later when switch S2 is also closed.Explanation / Answer
when only switch 1 is closed c1 c3 are in series(c2 and c4 also) and the resultant is in parallel with resultant of c2 c4
=> C1eff = c1*c3/c1+c3 = 1.152 microF
C2eff = c2*c4/(c2+c4) = 1.698 microF
Ceff = 2.85 microF
Q = 2.85*18 = 51.3 microC
charge disitribution on C1eff and C2eff
Q1eff = C1eff/(C1eff+C2eff) Q = 20.736 MicroC
=> Q2eff = Q-Q1eff = 30.564 MicroC
as c1 nad c3 are in series
Q1 = 20.736 MicroC;Q3 = 20.736MicroC
similarly
Q2 = 30.564MicroC; Q4 = 30.564MicroC;
when S2 is closed
c1 and c2 are in parallel
C1eff = c1+c2 = 4.4 microF
C2eff = c3+c4 = 8.1 microF
these two are in series
C1eff = 2.8512 microF
Q = 51.3216 MicroC;
Q1eff = Q2eff = Q;
Q1 = c1/(c1+c2)*Q = 20.9952 MicroC;
Q2 = Q-Q1 = 30.3264 MicroC;
similarly
Q3 = 20.2752 MicroC;
Q4 = Q-Q3 = 31.0464 MicroC