Sagot :
The force on the rod : F = 1.875 x 10 ⁻¹¹ N
Further explanation
The magnetic force on a moving charge can be formulated :
F = qvB sin θ
v = the velocity of a charge, m/s
B = the magnetic field, T
F = magnetic force, N
q = charge, C
θ = the angle between the directions of v and B
The magnetic force F is perpendicular to the plane formed by v and B
The direction can be determined by the right-hand rule method
- the thumb ⇒ v
- the fingers ⇒ B
- the palm ⇒ F
Given
Charge = 25 nC = 25 x 10⁻⁹C
The Earth’s magnetic field =5 x 10⁻⁵ T
Required
The force
Solution
By using the right-hand rule method, we can see that the angle-θ between the velocity(west) and the direction of the field(north) is 90º
The magnetic force
F = 25 x 10⁻⁹C x 15 m/s x 5 x 10⁻⁵ T x sin 90
F = 1.875 x 10 ⁻¹¹ N
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