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Answer:
a) 1.68 N b) 0 c) 14.5º
Explanation:
a)
- The force on a charge moving in a magnetic field, is a vector perpendicular to the plane defined by the velocity of the charge and the magnetic field.
- The magnitude of the force F is given by the following expression:
- where q= magnitude of the charge of the particle, v=velocity of the particle, B= magnitude of the magnetic field, and θ= angle between v and B.
- Replacing by the known values in (1) we have:
- The maximum possible value of F happens when sin θ =1
- This means that v and B are perpendicular each other (in the same plane)
- So, Fmax = 1.68 N
b)
- If the maximum possible value of F happens when sin θ = 1, the minimum possible is when sin θ = 0.
- In this case, when v and B are parallel each other, the force is just 0.
c)
- If the force is 0.25 of the maximum possible, (which is when sin θ =1), this means that sin θ = 0.25, as it can be seen below:
- The angle between the velocity v and the magnetic field B is 14.5º.
Answer:
77.35 m / s
Ф = -17° from + X axis or 343° from + X axis
Explanation:
v1 = 75 m/s 25° east of north
v2 = 100 m/s 25° east of south
Write the velocities in vector form ,we get
Now add the velocity vectors to get the resultant of the velocities.
magnitude of resultant velocity is
= 77.35 m / s
The direction is Ф from X axis
Ф = -17° from + X axis or 343° from + X axis
relation between potential difference and electric field is given as
so here we know that
d = 3 cm
So now when plates are separated to 4 cm distance carefully
the potential difference between them will change but the electric field between them will remain constant
So at distance of 4 cm also the electric field will be E = 1000 N/C