Two capacitors $$2$$ μF and $$4$$ μF are connected in parallel. A third capacitor of $$6$$ μF capacity is connected in series. The combination is then connected across a $$12$$ V battery. The voltage across $$2$$ μF capacity is

Question

Two capacitors $$2$$ μF and $$4$$ μF are connected in parallel. A third capacitor of $$6$$ μF capacity is connected in series. The combination is then connected across a $$12$$ V battery. The voltage across $$2$$ μF capacity is

Infinity Learn · Accepted Answer

Resultant capacitance of condensers of capacity $$2$$ μF and $$4$$ μF when connected in parallel C′$$=2+4=6$$μFThis is connected in series with a capacitor of capacity $$6$$ μF in series. The resultant capacity C ls given by $$1C=16+16=13$$  or  $$C=3$$μFCharge on $$combinationq=3$$×$$10$$−$$6$$×$$(12)=36$$×$$10$$−$$6CLet$$ the charge on $$2$$ μF capacitor be $$q1$$ then $$q12=q$$−$$q14$$  or  $$q1=q3$$∴ $$q1=12$$×$$10$$−$$6CNow$$ potential across $$2$$ μF $$condenser=q12$$×$$10$$−$$6=12$$×$$10$$−$$62$$×$$10$$−$$6=6V$$

Two capacitors 2 $μ$ F and 4 $μ$ F are connected in parallel. A third capacitor of 6 $μ$ F capacity is connected in series. The combination is then connected across a 12 V battery. The voltage across 2 $μ$ F capacity is

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Two capacitors 2 μF and 4 μF are connected in parallel. A third capacitor of 6 μF capacity is connected in series. The combination is then connected across a 12 V battery. The voltage across 2 μF capacity is

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Two capacitors 2 $μ$ F and 4 $μ$ F are connected in parallel. A third capacitor of 6 $μ$ F capacity is connected in series. The combination is then connected across a 12 V battery. The voltage across 2 $μ$ F capacity is