Two capacitors of 4 x 10-6 F and 12 x 10^-6 F are connected in series across a battery. The voltage across the 4 x I0^-6 F is 3V. Calculate a) effective capacitance of the combination, b) total battery voltage, c) energy stored in the system.
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12th
Physics
Electrostatic Potential and Capacitance
Combination of Capacitors
Two capacitors of 2 μ F and...
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Asked on December 26, 2019 by
Manas Teli
Two capacitors of 2 μF and 4 μF are connected in parallel. A third capacitor of 6 μF is connected in series. The combination is connected across a 12 V battery. The voltage across 2 μF capacitor is:
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C
P
=2+4=6μF
C
1
=
6
1
+
6
1
=
6
2
=
3
1
orC=3μF
Total charge
Q=CV=3×12=36μC
voltage across 6μF capacitor =
6μF
36μC
=6V
∴ Voltage across each of 2μF and 4μF capacitors
=12V−6V
V=6V
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