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Distance is the actual path covered and displacement is the shortest distance from the object to the point of origin.
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Answer:
The west axis component of walk is, A = 5 miles
The east axis component of walk is, B = 8 miles
Explanation:
Given data,
The displacement of hiker south of west, R = 9.4 miles
The angle formed south of west, Ф = 60°
The vector components along,
the west axis is
A = R cosФ
A = 9.4 x cos 60
A = 4.7 miles
A = 5 miles
The west axis component of walk is, A = 5 miles
the south axis is
B = R sinФ
B = 9.4 sin 60
B = 8.14 miles
B = 8 miles
The east axis component of walk is, B = 8 miles
Answer:
Explanation:
Given that,
B(t) = B0 cos(ωt) • k
Radius r = a
Inner radius r' = a/2 and resistance R.
Current in the loop as a function of time I(t) =?
Magnetic flux is given as
Φ = BA
And the Area is given as
A = πr², where r = a/2
A = πa²/4
Then,
Φ = ¼ Bπa²
Φ(t) = ¼πa²Bo•Cos(ωt)
Then, the EMF is given as
ε(t) = -dΦ/dt
ε(t) = -¼πa²Bo • -ωSin(ωt)
ε(t) = ¼ωπa²Bo•Sin(ωt)
From ohms law,
ε = iR
Then, i = ε/R
I(t) = ¼ωπa²Bo•Sin(ωt) /R
This is the current induced in the loop.
Check attachment for better understanding