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Q.

Consider the combination of 2 capacitors  C1 and  C2, with  C2>C1, when connected in parallel, the equivalent capacitance is 154 times the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors,C2C1

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a

154

b

1511

c

11180

d

None of these

answer is D.

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Detailed Solution

Given :CP_eff =154CS_eff ⇒C1+C2=C1C2C1+C2⋅154 Let C2C1=x⇒(1+x)C1=154xC12(1+x)C1⇒1+x2+2x4=15x⇒4x2−7x+4=0⇒x=7±49−642= imaginary roots
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Consider the combination of 2 capacitors  C1 and  C2, with  C2>C1, when connected in parallel, the equivalent capacitance is 154 times the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors,C2C1