- #1
Malabeh
Homework Statement
If you have a ring of charge, is it valid to say lambda = Q/L, or is it lambda = dQ/dL?
Charge per unit length for a charged ring
- Thread starter Malabeh
- Start date
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For a charged ring, the linear charge density can be expressed as lambda = Q/L, where Q is the total charge and L is the circumference of the ring. This formulation is valid when the charge is uniformly distributed along the ring. Alternatively, lambda can be defined as dQ/dL, representing an infinitesimal charge per infinitesimal length. Both expressions are applicable depending on the context of the charge distribution. Understanding these definitions is crucial for solving problems related to electric fields and potentials generated by charged rings.
The answer is (B) but I don't really understand why.
Based on formula of Young Modulus:
$$x=\frac{FL}{AE}$$
The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A##
I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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