electric stress inversely proportional to radius of conductor
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First, consider a PIPE( yeah, A water pipe that connects water tank and tap).
Imagine that water flows through it.
If we INCREASE the RADIUS of the pipe , MORE WATER can flow through the pipe.
If we INCREASE the LENGTH of the pipe, it will take MORE TIME for the water to flow out of the pipe.
This is the same case as in a wire. PIPE = WIRE ; WATER = CURRENT. (potential is a common term in both that makes the current/water flow through the wire/pipe)
Mathematically, it is related as

where A = 3.14 x r^2 , r - radius of wire
Imagine that water flows through it.
If we INCREASE the RADIUS of the pipe , MORE WATER can flow through the pipe.
If we INCREASE the LENGTH of the pipe, it will take MORE TIME for the water to flow out of the pipe.
This is the same case as in a wire. PIPE = WIRE ; WATER = CURRENT. (potential is a common term in both that makes the current/water flow through the wire/pipe)
Mathematically, it is related as

where A = 3.14 x r^2 , r - radius of wire
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