Department of Pre-University Education, Karnataka course PUC Karnataka Science Class 12
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Find the Capacitance of the Combination Shown in Figure Between a and B. - Physics

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Question

Find the capacitance of the combination shown in figure between A and B.

Solution

Capacitors 5 and 1 are in series.

Their equivalent capacitance, `C_(eq) = (C_1C_5)/(C_1+C_5)` =`(2 xx 2)/(2+2)` = `1  "uF"`

`therefore` `C_(eq) = 1`

Now, this capacitor system is parallel to capacitor 6. Thus, the equivalent capacitance becomes 1 + 1 = 2 μF

The above capacitor system is in series with capacitor 2. Thus, the equivalent capacitance become `(2 xx 2)/(2+2) = 1  "uF"`

The above capacitor system is in parallel with capacitor 7. Thus, the equivalent capacitance becomes 1 + 1 = 2 μF

The above capacitor system is in series with capacitor 3. Thus, the equivalent capacitance becomes  `(2 xx 2)/(2+2) = 1  "uF"`

The above capacitor system is in parallel with capacitor 8. Thus, the equivalent capacitance becomes

1 + 1 = 2 μF

The above capacitor system is in series with capacitor 4. Thus, the equivalent capacitance becomes `(2 xx 2)/(2+2) = 1  "uF"`

Hence, the equivalent capacitance between points A and B of the given capacitor system is 1 μF.

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Solution Find the Capacitance of the Combination Shown in Figure Between a and B. Concept: Capacitors and Capacitance.
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