Two thin conducting spherical shells of radii R and 3R are fixed concentrically, and given total charge –Q and +Q respectively. Pick the correct choice(s):
The electric field at a point at a distance 2R from the their common centre has magnitude and is directed radially inward
The electric field inside the inner shell is zero
The potential at their common centre is
The potential of the outer shell is zero
this is a multiple choice question
Answers
Answer:
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Answer:
The potential of the outer shell is zero is the correct answer because
V inner= KQ1/3R + KQ1I/R = 0
= rQ2 = -Q/R .
Explanation:
We know what the electric field and potential from a point charge look like:
E = (kQ /r2 ) r^
and V = kQ /r
Consider a charged sphere with a symmetrical distribution of charge. Gauss' Law tells us that the electric field outside the sphere is the same as that from a point charge. This implies that outside the sphere the potential also looks like the potential from a point charge.
What about inside the sphere? If the sphere is a conductor we know the field inside the sphere is zero. What about the potential?
Moving from a point on the surface of the sphere to a point inside, the potential changes by an amount:
ΔV = -∫ E • ds
Because E = 0, we can only conclude that ΔV is also zero, so V is constant and equal to the value of the potential at the outer surface of the sphere