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Two metallic spheres of radii R and 2 R ...

Two metallic spheres of radii `R and 2 R` are charged so that both of these have same surface charge density, `sigma` . If they are connected to each other with a conducting wire, in which direction will the charge flow and why ?

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To solve the problem of charge flow between two metallic spheres of different radii but the same surface charge density, we can follow these steps: ### Step 1: Understand the Surface Charge Density Given that both spheres have the same surface charge density, denoted as \( \sigma \), we can express the charge on each sphere in terms of their surface area and the surface charge density. - For the first sphere (radius \( R \)): \[ A_1 = 4\pi R^2 \quad \text{(surface area)} ...
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Knowledge Check

  • two metal spheres of radii R_(1) and R_(2) are charged to the same potential. The ratio of charges on the spheres is

    A
    `sqrt(R_(1)) : sqrt(R_(2))`
    B
    `R_(1) : R_(2)`
    C
    `R_(1)^(2) : R_(2)^(2)`
    D
    `R_(1)^(3) : R_(2)^(3)`

  • Two conducting spheres of radii r_(1) and r_(2) are charged to the same surface charge density . The ratio of electric field near their surface is

    A
    `r_(1)^(2)//r_(2)^(2)`
    B
    `r_(2)^(2)//r_(1)^(2)`
    C
    `r_(1)//r_(2)`
    D
    `1:1`

  • Two connectric spheres of radii R and r have similar charges with equal surface charge densities (sigam) . The electric potential at their common centre is

    A
    `sigma//epsilon_(0)`
    B
    `(sigma)/(epsilon_(0)) (R -r)`
    C
    `(sigma)/(epsilon_(0)) (R -r)`
    D
    `(sigma)/(4pi epsilon_(0)) (R + r)`

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