A proton is sent into a transverse magnetic field of induction 2T with a speed of
3.6x106 m/s. what is the force experienced by it?
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The force experienced by it is 3.204 × 10⁻¹³ Newton
Explanation:
The force experienced by proton moving on the magnetic field is given as:
F = qvB sin θ
Where,
q = Proton = 1.602 × 10⁻¹⁹ C
v = 3.6 × 10⁶ m/s
B = 2 T
On substituting the values, we get,
F = 1.602 × 10⁻¹⁹ × 3.6 × 10⁶ × 2 × sin θ
F = 3.204 × 10⁻¹³ × sin θ
When the proton passes through the magnetic field, the magnetic field, charge and force is mutually perpendicular to each other.
F = 3.204 × 10⁻¹³ × sin 90°
∴ F = 3.204 × 10⁻¹³ N
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