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Assertion: If three capacitors of capaci...

Assertion: If three capacitors of capacitance `C_(1) lt C_(2) lt C_(3)` are connected in parallel then their equivalent capacitance `C_(p) gt C_(s)`
Reason: `(1)/(C_(p)) = (1)/(C_(1)) + (1)/(C_(2)) + (1)/(C_(3))`

A

If both assertion and reason are true and reson is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If the assertion is true but the reason are false.

D

If both the assertion and reason are false.

Text Solution

Verified by Experts

The correct Answer is:
C
Equivalent capacitance of parallel combination is
`C_(p) = C_(1) + C_(2) + C_(3)`.
Hence, their equivalent capacitance is greater than individual capacitances.
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Knowledge Check

  • Three capacitors of capacity C_(1), C_(2), C_(3) are connected in series. Their total capacity will be

    A
    `C_(1)+C_(2)+C_(3)`
    B
    `1//(C_(1)+C_(2)+C_(3))`
    C
    `(C_(1)^(-1)+C_(2)^(-1)+C_(3)^(-1))^(-1)`
    D
    None of these

  • Three capacitors C_(a) t c_(b) lt C_(c) are connected in series. Their resultant capacitance will be

    A
    equivalent capacitance greater than `C_c`
    B
    equivalent capacitance less than `C_c` but greater then `C_a`
    C
    equivalent capacitance less than `C_c`
    D
    equivalent capacitance is infinite

  • The resultant capacity of n condensers of capacitances C_(1),C_(2)........C_(n) connected in parallel is

    A
    `C_(p)=C_(1)+C_(2)+........+C_(n)`
    B
    `C_(p)=C_(1)-C_(2)-C_(3)-........-C_(n)`
    C
    `1/C_(p)=1/C_(1)+1/C_(2)+........+1/C_(n)`
    D
    `C_(p)=1/C_(1)+1/C_(2)+........+1/C_(n)`