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V/2f = L2 - L1 V= 2f(L2 - L1) Percentage error= Relative error × 100% •••(1) Relative error = Absolute error/Actual value •••(2) Absolute error = Measured value - Actual value •••(3) You will only be able to solve for the percentage error with respect to the express, V= 2f(L2 - L1), in relation to an arbitrary constant. V°= an arbitrary constant of V, f°= that of f, L2°= that of L2 and L1°= that of L1 Thus, we would have, V°= 2f°(L2° - L1°) •••(An arbitrary relationship) Now, we will have to assume this arbitrary relationship as a measured value. So, From equation (3), Absolute error = V - V° = 2f(L2 - L1) - 2f°(L2° - L1°) = 2(f∆L - f°∆L°) From equation (2), Relative error= [2(f∆L - f°∆L°)]/[2f∆L] From equation (1), Percentage error= 100[(f∆L - f°∆L°)/(f∆L)]%
5 months ago
V= 2f(L2 - L1)
Percentage error= Relative error × 100% •••(1)
Relative error = Absolute error/Actual value •••(2)
Absolute error = Measured value - Actual value •••(3)
You will only be able to solve for the percentage error with respect to the express, V= 2f(L2 - L1), in relation to an arbitrary constant.
V°= an arbitrary constant of V,
f°= that of f,
L2°= that of L2 and
L1°= that of L1
Thus, we would have,
V°= 2f°(L2° - L1°) •••(An arbitrary relationship)
Now, we will have to assume this arbitrary relationship as a measured value.
So, From equation (3),
Absolute error = V - V°
= 2f(L2 - L1) - 2f°(L2° - L1°)
= 2(f∆L - f°∆L°)
From equation (2), Relative error= [2(f∆L - f°∆L°)]/[2f∆L]
From equation (1),
Percentage error= 100[(f∆L - f°∆L°)/(f∆L)]%