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प्रश्न
What is the force of repulsion if each sphere is charged double the above amount, and the distance between them is halved?
उत्तर
After doubling the charge, charge on sphere A, qA = Charge on sphere B, qB = 2 × 6.5 × 10−7 C = 1.3 × 10−6 C
The distance between the spheres is halved.
∴ `"r" = 0.5/2 = 0.25` m
Force of repulsion between the two spheres,
`"F" = ("q"_"A""q"_"B")/(4piin_0r^2)`
= `(9 xx 10^9 xx 1.3 xx 10^-6 xx 1.3 xx 10^-6)/((0.25)^2)`
= 16 × 1.52 × 10−2
= 0.243 N
Therefore, the force between the two spheres is 0.243 N.
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संबंधित प्रश्न
Suppose the spheres A and B in Exercise 1.12 have identical sizes. A third sphere of the same size but uncharged is brought in contact with the first, then brought in contact with the second, and finally removed from both. What is the new force of repulsion between A and B?
(a) Consider an arbitrary electrostatic field configuration. A small test charge is placed at a null point (i.e., where E = 0) of the configuration. Show that the equilibrium of the test charge is necessarily unstable.
(b) Verify this result for the simple configuration of two charges of the same magnitude and sign placed a certain distance apart.
In charging by Induction, a metallic object is charged ______.
A point charge + q is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of the plane is ______.
Two small balls having the same mass and charge and located on the same vertical at heights h1 and h2 are thrown in the same direction along the horizontal at the same velocity v. The first ball touches the ground at a distance l from the initial vertical. At what height H2 will the second ball be at this instant ? The air drag and the effect of the charges induced on the ground should be neglected.
A positive charge Q is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the centre of the ring (figure). Then
- If q > 0 and is displaced away from the centre in the plane of the ring, it will be pushed back towards the centre.
- If q < 0 and is displaced away from the centre in the plane of the ring, it will never return to the centre and will continue moving till it hits the ring.
- If q < 0, it will perform SHM for small displacement along the axis.
- q at the centre of the ring is in an unstable equilibrium within the plane of the ring for q > 0.
