Answer:
amount of work done is
Explanation:
Formula for work done by force field
where
r(t) is parametrization of line
as it is straight line so
thus,
r(t) = (1-t)(-1,1) + t(3,-3)
= (-1+t,1-t) + (3t - 3t)
= (-1+t +3t, 1-t-3t)
r(t) = (4t -1, 1- 4t)
r'(t) = (4,-4)
putting value in above integral
![= 4[ -16 \frac{t^3}{3} + 16\frac{t^2}{2} - 3t]_{0}^{1}](https://tex.z-dn.net/?f=%3D%204%5B%20-16%20%5Cfrac%7Bt%5E3%7D%7B3%7D%20%2B%2016%5Cfrac%7Bt%5E2%7D%7B2%7D%20-%203t%5D_%7B0%7D%5E%7B1%7D)
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Answer:
1.79 T
Explanation:
Applying,
F = BILsin∅................ Equation 1
Where F = Force, B = magnetic field, I = current flowing through the wire, L = length of the wire, ∅ = angle between the magntic field and the force
make B the subject of the equation
B = F/ILsin∅............. Equation 2
From the question,
Given: F = 2.15 N, I = 30 A, L = 4.00 cm = 0.04 m, ∅ = 90° (perpendicular to the field)
Substitute these values into equation 2
B = 2.15/(30×0.04×sin90°)
B = 2.15/1.2
B = 1.79 T
Hence the average field strength is 1.79 T
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