question_answer

Find the charge on \[5\mu F\]capacitor.

A)  5.45 \[\mu C\]            

B)  16.37 \[\mu C\]

C)  10.9\[\mu C\]             

D)  18 \[\mu C\]

Correct Answer: B

Solution :

We will solve this question by using point potential theory. Consider point 0 at zero potential and then mark the potentials of various junctions as shown in figure. Apply KCL at junction having potential\[{{\text{V}}_{\text{1}}}\]. \[5\times ({{V}_{1}}-0)+2\times ({{V}_{1}}-6)+4\times ({{V}_{1}}-6)=0\] \[\Rightarrow \]\[(5+2+4){{V}_{1}}=12+24\]\[\Rightarrow \]\[{{V}_{1}}=\frac{36}{11}volt\] So, charge on \[5\mu F=\frac{36}{11}\times 5\mu C=16.37\mu C\]