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In figure the battery has a potential di...

In figure the battery has a potential difference of `20 V`. Find

(a) the equivalent capacitance of all the capacitors across the battery and
(b) the charge stored on that, equivalent capacitance. Find the charge on
(c) capacitor 1,
(d) capacitor 2, and
(e) capacitor 3.

Text Solution

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The correct Answer is:
B, C

a. simple circuit is as shown below.

b. `q_(n et)=(C_(n et))V=(34muF)(20V)=60muC`
c. upper network and lower network both have same capacitance `=6muF`
`V_1-V_2=20/2=10V`
`V_(C_1)=10V`
`:. q_(c_1)=(C_1)(C_(C_1))=30muC`
`d. V_(C_2)=10V, :. q_(C_2)(C_2)(V_(C_2))=20muC`
`e. V_(C_3)=5V, :. q_(C_3)=(C_3)(V_(C_3))=20muC`
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