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Find the dimensions of capacitance....

Find the dimensions of capacitance.

Text Solution

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`U=1/2q^2/C`
`:. [C]=[q^2/U]=[(A^2T^2)/(ML^2T^-2)]`
`=[M^-1L^-2T^4A^2]`
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Knowledge Check

  • The dimensions of capacitance are

    A
    `[ML^(-2)Q^(-2)T^2]`
    B
    `[M^(-1)L^2T^(-2)Q^(-2)]`
    C
    `[M^(-1)L^2T^(-2)Q^2]`
    D
    `[M^(-1)L^(-2)T^2Q^2]`

  • The dimensions of capacitance are

    A
    `[ML^(-2)Q^(-2)T^2]`
    B
    `[M^(-1)L^2T^(-2)Q^(-2)]`
    C
    `[M^(-1)L^2T^(-2)Q^2]`
    D
    `[M^(-1)L^(-2)T^2Q^2]`

  • Which of the following represents the dimension of capacitance ?

    A
    `[M^(-1)L^(-2)T^(4)A^(2)]`
    B
    `[ML^(2)T^(-2)A^(-2)]`
    C
    `[ML^(2)T^(-2)A^(-1)]`
    D
    `[MT^(-2)A^(-1)]`
    • DC PANDEY-CAPACITORS-Exercise
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    2. No charge will flow when two conductors having the same charge are con...

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    3. Two conductors of capacitance 1muF and 2muF are charged to +10V and -2...

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    4. A capacitor has a capacitance of 7.28 muF. What amount of charge must ...

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    5. A parallel air capacitance 245muF has a charge of magnitude 0.48muC on...

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    6. Two parallel plates have equal and opposite charges. When the space be...

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    7. Find charges on different capacitors.

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    8. Find the charges on different capacitors.

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    9. Assertion : From the relation C = q/V We can say that, if more charge ...

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    10. Assertion : A parallel plate capacitor is first charged and then dista...

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    11. Assertion : When an uncharged capacitor is charged by a battery only 5...

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    12. Assertion: Discharging graphs of two C.R. circuits having the same val...

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    13. Assertion : In series combination, charges on two capacitors are alway...

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    14. Assertion : Two capacitors are charged from the same battery nd then c...

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    15. Assertion: In the circuit shown in figure no charge will stored in the...

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    16. Assertion: In the circuit in figure, time constant of charging of capa...

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    17. Assertion: Two capacitors are connected in series with a battery. Ene...

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    18. Assertion: In the circuit shown in figure with a dielectric slab is in...

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    19. The separation between the plates of a charged parallel-plate capacito...

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    20. If the plates of a capacitor are joined together by as conducting wire...

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