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Two charged spherical conductors are connected by a long conducting wire. A tota

ID: 1662728 • Letter: T

Question

Two charged spherical conductors are connected by a long conducting wire. A total charge of q is placed on this combination of two spheres, where q > 0. Sphere 1 has a radius of r1 and sphere 2 has a radius of ro. where r2 > r1. Assume the potential at infinity' is zero. Let V1 represent the potential on sphere 1 and V2 represent the potential on sphere 2. What is the ratio of v1/v2? Hint: The "long" wire means that the spheres are far enough apart that the charge on one sphere will not induce charge on the other. None of these Let q1 represent the charge on sphere 1 and q2 represent the charge on sphere 2. What is the ratio of q1/q2?

Explanation / Answer

For question 1 the ratio of V1/V2=1because when two spheres are conducted through a wire theirpotenial becomes same although thier charges may be different.It islike connecting two tubs of water throgh a pipe when the levels ofwater is different.Water will flow untill their level becomes same,may at this point amount of water(charge) be different. the second answer is 8 V1=kq1/r1 V2=kq2/r2 As V1=V2 SpKq1/r1=Kq2/r2 cancel K on both sides we get the answer cancel K on both sides we get the answer
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