Complete Question
A toroidal solenoid has 590 turns, cross-sectional area 6.20 cm^2 , and mean radius 5.00 cm .
Part A. Calculate the coil's self-inductance.
Part B. If the current decreases uniformly from 5.00 A to 2.00 A in 3.00 ms, calculate the self-induced emf in the coil.
Part C. The current is directed from terminal a of the coil to terminal b. Is the direction of the induced emf from a to b or from b to a?
Answer:
Part A
Part B
Part C
From terminal a to terminal b
Explanation:
From the question we are told that
The number of turns is
The cross-sectional area is
The radius is
Generally the coils self -inductance is mathematically represented as
Where is the permeability of free space with value
substituting values
Considering the Part B
Initial current is
Current at time t is
The time taken is
The self-induced emf is mathematically evaluated as
=>
substituting values
The direction of the induced emf is from a to b because according to Lenz's law the induced emf moves in the same direction as the current
According to the Hooke’s law formula, the force is proportional to the displacement of the spring. <em>(C) </em>
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Answer:
0.629 m
Explanation:
For destructive interference we have the case
m = 1,2,3.....
Frequency is given by
Wavelength
The angle
The width is
The width of the hole is 0.629 m
For destructive interference
The angles are
Answer:
v2 = 2.36 m/s
Explanation:
Momentum is simply the the product of mass of an object and it velocity. Generally, when object moves they have momentum . The unit for momentum is kgm/s.
During collision momentum is conserved . This means that
initial momentum = final momentum
If their is an equal and opposite reaction your momentum should be equal to your BFF.
m1 v1 = m2 v2
m1 = 65 kg
v1 = 2.0 m/s
m2 = 55 kg
v2 = ?
m1 v1 = m2 v2
65 × 2 = 55v2
130 = 55 v2
divide both sides by 55
v2 = 130/55
v2 = 2.36363636364
v2 = 2.36 m/s