1. Four capacitors، سی1 = 2 μF, C2 = 1 μF, C3 = 3 μF, C4 = 4 μF, are connected in parallel. Determine the capacitance of a single capacitor that will have the same effect as the combination.
جانا جاتا ہے:
سندارتر C1 2 = μF
سندارتر C2 1 = μF
سندارتر C3 3 = μF
سندارتر C3 4 = μF
مطلوب: The equivalent capacitance
حل:
The equivalent capacitance :
C = سی۔1 + سی2 + سی3
C 4 = μF+2 μF+3 μایف = 9 μF
The equivalent capacitance of the entire combination is 9 μF.
2. کا تعین چارج on capacitor C2 اگر ممکنہ فرق between point A and B is 9 Volt…
جانا جاتا ہے:
Cاپاcitor C1 20 = μF = 20 x 10-6 F
Cاپاcitor C2 30 = μF = 30 x 10-6 F
Potential difference between point A اور B (VAB) = 9 وولٹ
مطلوب : the charge on capacitor C2 (Q2)
حل:
Potential difference :
Capacitors are connected in parallel so that the potential difference between A and B (VAB) = the potential difference on capacitor C1 (V1) = the potential difference on capacitor C2 (V2) = 9 Volt.
Electric charge on capacitor C2 :
Q2 = سی۔2 V2 = (30 x 10۔-6)(9) = 270 x 10-6 C
Q2 270 = μC
The electric charge on capacitor C2 is 270 μC.
3. تین capacitors, C1 = 4 μF, C2 = 2 μF, C3 = 3 μF, are connected in parallel. The capacitor are charged. The potential difference on capacitor C2 is 4 Volt. Determine
(a) Electric charge on capacitor C1، سی2 اور سی3
(b) Electric charge on the equivalent capacitor of the entire combination
جانا جاتا ہے:
Cاپاcitor C1 4 = μF = 4 x 10-6 F
Capacitor C2 2 = μF = 2 x 10-6 F
Capacitor C3 3 = μF = 3 x 10-6 F
Potential difference on capacitor C2 (V2) = 4 وولٹ
مطلوب : Electric charge on capacitor C3 (Q3)
حل:
(ایک) Electric charge on capacitor C3
The potential difference on capacitor C3 :
Capacitors are connected in parallel so that the potential difference on capacitor C3 (V3) = the potential difference on capacitor C2 (V2) = the potential difference on capacitor C1 (V1) = the potential difference on equivalent capacitor (V) = 4 وولٹ
Electric charge on capacitor C1 :
Q1 = سی۔1 V1 = (4 x 10۔-6)(4) = 16 x 10-6 C
Q1 16 = μC
Electric charge on capacitor C2 :
Q2 = سی۔2 V2 = (2 x 10۔-6)(4) = 8 x 10-6 C
Q2 8 = μC
Electric charge on capacitor C3 :
Q3 = سی۔3 V3 = (3 x 10۔-6)(4) = 12 x 10-6 C
Q3 12 = μC
(ب) Electric charge on equivalent capacitor
Q = Q1 + سوال2 + سوال3
س = 16 μC+8 μC+12 μC = 36۔ μC
Alternative solution :
The equivalent capacitance :
C = C1 + سی2 + سی3
C = 4۔ μF+2 μF+3 μایف = 9 μF
C = 9 x 10-6 F
The potential difference on the equivalent capacitor :
V1 = وی2 = وی3 = V = 4 Volt
The electric charge on the equivalent capacitor :
Q = C V = (9 x 10-6)(4) = 36 x 10-6 C
س = 36 μC
