A stationery charge in a magnetic field experiences:a)Forceb)Circular ...
**Explanation:**
When a stationary charge is placed in a magnetic field, it experiences a force due to the interaction between the magnetic field and the charge.
1. **Force on a Stationary Charge:** The force experienced by a stationary charge in a magnetic field is given by the equation:
F = q * v * B * sin(θ)
where:
- F is the force experienced by the charge (in Newtons)
- q is the charge of the particle (in Coulombs)
- v is the velocity of the charge (in meters per second)
- B is the magnetic field strength (in Tesla)
- θ is the angle between the velocity vector and the magnetic field vector
However, in this case, the charge is stationary, which means its velocity (v) is zero. Therefore, the force equation becomes:
F = q * 0 * B * sin(θ)
= 0
As the velocity is zero, the force on the stationary charge becomes zero. Therefore, option 'c) No force' is the correct answer.
2. **Circular Motion under a Force:** If the charge were to have a non-zero velocity, it would experience a force and start moving. In this case, the force would cause the charge to move in a circular path due to the magnetic field's influence. This circular motion is known as the Lorentz force and is given by the equation:
F = q * v * B * sin(θ)
The force acts perpendicular to both the velocity vector and the magnetic field vector, causing the charge to move in a circular path.
3. **No Force on a Stationary Charge:** When a charge is stationary, its velocity is zero, and the force equation becomes F = q * 0 * B * sin(θ) = 0. Therefore, no force is exerted on the stationary charge.
4. **Torque:** Torque is a measure of the force's tendency to rotate an object about an axis. In the case of a stationary charge in a magnetic field, there is no rotation or angular motion involved. Hence, there is no torque acting on the stationary charge.
In conclusion, a stationary charge in a magnetic field experiences no force, as its velocity is zero.
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