Question

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Answer (Detailed Solution Below)

Option 2 : $2\ \mu\mathrm{F}$ / $2\ \mu\mathrm{F}$

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Detailed Solution

सही उत्तर $2\ \mu\mathrm{F}$ / $2\ \mu\mathrm{F}$ है।

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PrepSnapprepsnap.in • Part -A

Question:

Two capacitors of $6\ \mu\mathrm{F}$ and $3\ \mu\mathrm{F}$ are connected in series. The equivalent capacitance is: / $6\ \mu\mathrm{F}$ और $3\ \mu\mathrm{F}$ के दो संधारित्र श्रेणी क्रम में जोड़े गए हैं। तुल्य धारिता है:

1.
$9\ \mu\mathrm{F}$ / $9\ \mu\mathrm{F}$
2.
$2\ \mu\mathrm{F}$ / $2\ \mu\mathrm{F}$
3.
$4\ \mu\mathrm{F}$ / $4\ \mu\mathrm{F}$
4.
$18\ \mu\mathrm{F}$ / $18\ \mu\mathrm{F}$

Correct Answer: $2\ \mu\mathrm{F}$ / $2\ \mu\mathrm{F}$

For series, $1/C_{eq} = 1/C_1 + 1/C_2 = 1/6 + 1/3 = 1/2$, so $C_{eq} = 2\ \mu\mathrm{F}$. / श्रेणी क्रम में, $1/C_{eq} = 1/C_1 + 1/C_2 = 1/6 + 1/3 = 1/2$, अतः $C_{eq} = 2\ \mu\mathrm{F}$।

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