Capacitors of C, 2C, 4C, dots, infty are conn | vedclass

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(A) For capacitors connected in parallel, the equivalent capacitance $C_{eq}$ is the sum of individual capacitances.$C_{eq} = C_1 + C_2 + C_3 + \dots

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$\infty$

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(A) For capacitors connected in parallel, the equivalent capacitance $C_{eq}$ is the sum of individual capacitances.$C_{eq} = C_1 + C_2 + C_3 + \dots + C_n$Given the values are $C, 2C, 4C, \dots, \infty$, the equivalent capacitance is:$C_{eq} = C + 2C + 4C + \dots + \infty$$C_{eq} = C(1 + 2 + 4 + \dots + \infty)$The series $(1 + 2 + 4 + \dots)$ is a geometric progression with a common ratio $r = 2$. Since $r > 1$, the sum of this infinite series diverges to infinity.Therefore, $C_{eq} = C 	imes \infty = \infty$.

Capacitors of $C, 2C, 4C, \dots, \infty$ are connected in parallel. What will be their equivalent capacitance?

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