if linear charge density of a wire of length l depends on distance x from one end as lambda is equal to lambda not into x upon L . find total charge of wire
if linear charge density of a wire of length l depends on distance x from one end as lambda is equal to lambda not into x upon L . find total charge of wire
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For Calculation see pic
Steps:
1) Since, linear charge density is varying with distance x so, we first find charge for 'dx'length of wire.
dq = integration of Lambda dx
Then, we will integrate it from 0 to L.
For Calculation see pic
Answer:
Total charge,
Explanation:
Total charge divided by total length is called the linear charge density. Mathematically, it can be given as:
It is given that,
Q is the total charge of the wire. Hence, this is the required solution.