HELP PLEASE! In the circuit below, consisting of a battery and several capacitor
ID: 1328465 • Letter: H
Question
HELP PLEASE!
In the circuit below, consisting of a battery and several capacitors, some quantities are known and some are not. The capacitors were completely uncharged before the battery was attached and we are considering the static situation. (Be sure to keep at least 3 sig. figs. in your answer for all parts of this problem.)
Q1= 7.9 × 10-6 C
C1= 6.5 × 10-6 F
C2= 2.2 × 10-6 F
Energy stored
on C2 is W2= 4.7 × 10-6 J
1)
What is the potential difference across C1?
V1 =
2.) What is the potential difference across C2 ?
V2 =
3.) What is the potential difference across C3 ?
V3 =
4.) What is the charge Q3 on capacitor C3?
Q3 =
Known Quantities:Q1= 7.9 × 10-6 C
C1= 6.5 × 10-6 F
C2= 2.2 × 10-6 F
Energy stored
on C2 is W2= 4.7 × 10-6 J
Explanation / Answer
1) Potential difference across C1 is, V1 = Q1/C1 = (7.9 * 10-6 C)/(6.5 * 10-6 F) = 1.215 V
2) W2 = (1/2)C2V22 = (1/2) * (2.2 * 10-6)V22 = 4.7 * 10-6 J
=> V2 = [(4.7 * 10-6 * 2)/(2.2 * 10-6)]1/2 = 2.067 V
3) C2 and C3 are connected in parallel. Hence, V3 = V2 = 2.067 V
4) We need the value of C3 to calculate the charge Q3 (since Q3 = C3V3). Since the value of C3 is not given, Q3 can't be calculated.
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