Question

onnected in series. 4. Two capacitors with capacitances of 1.0 and 0.50 1F, respectively, are connected in The system is connected to a 100V battery, What charge accumulates on the (a) 1.out and (b) 0.50uF capacitors? ( 5 + 5 = 10 pts) 5. Two capacitors with capacitances of 10 uF and 15 LF, respectively, are connected in parallel. The system is connected to a 6.00V battery. (a) What is the equivalent capacitance? (b) What charge accumulates on the 10 uF capacitor? (5 + 5 = 10 pts)

Answer 1

(1)

the resultant capacitance will be

C=c1×c2/(c1+c2)

=0.33 microfarad

the resultant charge comes out to be

(q = CV) = 0.33 x 10^-6×100

q=0.33×10^-4 C
since the charge is same in series.

q1=33.3 micro-coulamb

q2=33.3 micro-coulamb

(2)

The capacitors are in parallel,

(a) equivalent capacitance

C=c1+c2

C=10+15

C=25 microfarad

(b) voltage is same in parallel,

q1=CV

q1=10×10^-6*6

q1=6×10^-5 C

q1=60 micro-coulamb