1. Electric Charges and Fields
normal

આકૃતિમાં બધા કેપેસિટર $1 \mu F$ છે,તો $A$ અને $B$ વચ્ચે સમતુલ્ય કેપેસિટન્સ .......... $\mu F$ હશે.

A

$1$

B

$2$

C

$0.5$

D

$\infty$

Solution

This combination forms a $G P$,

$s=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\cdots$

Sun of infinite $G P$,

$s=\frac{a}{1-r}$

$s=\frac{1}{1-\frac{1}{2}}$

$s=\frac{1}{\frac{1}{2}}$

$\therefore s=2$

Hence, capacitance of the combination

$C_{\infty}=2 \times 1 \mu F=2 \mu F$

Standard 12
Physics

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