JEE MAIN - Physics (2019 - 12th January Evening Slot - No. 24)
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 $$\mu $$F. All values in the circuit are in $$\mu $$F.
_12th_January_Evening_Slot_en_24_1.png)
$${6 \over 5}\mu F$$
$${7 \over 11}\mu F$$
4$$\mu $$F
$${7 \over 10}\mu F$$
Explanation
_12th_January_Evening_Slot_en_24_2.png)
From equs.
$${{{{7C} \over 3}} \over {{7 \over 3} + C}} = {1 \over 2}$$
$$ \Rightarrow $$ 14 C $$=$$ 7 + 3 C
$$ \Rightarrow $$ C $$=$$ $${7 \over {11}}$$
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