The force on the charge is 1.1×10⁻⁸ N.
What is force?
Force can be defined as the product of the mass of a body and its acceleration
To calculate the force on the charge, we use the formula below.
Formula:
- F = qvBsin∅............. Equation 1
Where:
- q = charge
- v = velocity
- B = magnetic field
- ∅ = Angle.
From the question,
Given:
- B = 25 mT = 0.025 T
- v = 250 m/s
- q = 3.5 nC = 3.5×10⁻⁹ C
- ∅ = 30°
Substitute the given values into equation 1
- F = (0.025)(250)(3.5×10⁻⁹)(sin30°)
- F = 1.093×10⁻⁸ N
- F ≈ 1.1×10⁻⁸ N
Hence, the force on the charge is 1.1×10⁻⁸ N.
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