© examsnet.com
Question : 7
Total: 8
Two identical capacitors of 12 pF 50 V
Also find the charge drawn from the battery in each case.
Also find the charge drawn from the battery in each case.
Solution:
Equivalent capacitance in series
Energy in series combination
Charge in series combination
Equivalent capacitance in parallel combination
Energy in parallel combination
Charge in parallel combination
In series combination :
= (
+
) ( pF ) − 1
C s = 6 × 10 − 12 pF
U s =
C s V 2
U s =
× 6 × 10 − 12 × 50 × 50 J
U s = 75 × 10 − 10 J
q s = C s V
= 6 × 10 − 12 × 50
= 300 × 10 − 12 C = 3 × 10 − 10 C
In parallel combination :
C p = ( 12 + 12 ) pF
∴ C p = 24 × 10 − 12 F
U p =
× 24 × 10 − 12 × 2500 J
U s = 3 × 10 − 8 J
q p = C p V
q p = 24 × 10 − 12 × 50 C
q p = 1.2 × 10 − 9 C
Energy in series combination
Charge in series combination
Equivalent capacitance in parallel combination
Energy in parallel combination
Charge in parallel combination
In series combination :
In parallel combination :
© examsnet.com
Go to Question: