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CBSE Class 12 Physics 2020 Outside Delhi Set 1 Paper

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Question : 21 of 37
Marks: +1, -0
SECTION - B
Find the total charge stored in the network of capacitors connected between A and B as shown in figure:
Solution:  
6μF6 \mu \mathrm{F} and 3μF3 \mu \mathrm{F} are connected in series. Hence their equivalent capacitance is 2μF2 \mu \mathrm{F}.
4μF4 \mu \mathrm{F} and 2μF2 \mu \mathrm{F} are connected in series. Hence their equivalent capacitance is   43μF\;\frac{4}{3} \mu \mathrm{F}.
2μF2 \mu \mathrm{F} and   43μF\;\frac{4}{3} \mu \mathrm{F} capacitors are connected in parallel.
So, the equivalent capacitance =  103μF=  103×10−6F= \;\frac{10}{3} \mu \mathrm{F} = \;\frac{10}{3} \times 10^{-6} \mathrm{F}
   We know   \;\text{ We know }\; Q  =CVQ\; = CV
C  =  103×10−6FC\; = \;\frac{10}{3} \times 10^{-6} \mathrm{F}
V=3VV = 3 \mathrm{V}
∴Q=103×10−6×3=10−5C\therefore Q = \frac{10}{3} \times 10^{-6} \times 3 = 10^{-5} \mathrm{C}
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