JEE MAIN - Physics (2023 - 1st February Evening Shift - No. 5)
A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed :
A. By changing the magnitude of the magnetic field within the coil.
B. By changing the area of coil within the magnetic field.
C. By changing the angle between the direction of magnetic field and the plane of the coil.
D. By reversing the magnetic field direction abruptly without changing its magnitude.
Choose the most appropriate answer from the options given below :
A, B and D only
A, B and C only
A and B only
A and C only
Explanation
The magnitude of magnetic flux is given by :
$$\Phi = BA \cos \theta$$
where $$B$$ is the magnitude of the magnetic field, $$A$$ is the area of the coil, and $$\theta$$ is the angle between the normal to the area and the direction of the magnetic field.
The correct option is A, B, and C only.
A. The magnetic flux through a coil can be changed by changing the magnitude of the magnetic field within the coil. A stronger magnetic field will increase the magnetic flux, while a weaker magnetic field will decrease the magnetic flux.
B. The magnetic flux through a coil can also be changed by changing the area of the coil within the magnetic field. A larger area of the coil will result in a greater magnetic flux, while a smaller area will result in a smaller magnetic flux.
C. The magnetic flux through a coil can also be changed by changing the angle between the direction of the magnetic field and the plane of the coil. When the angle is perpendicular to the plane of the coil, the magnetic flux is at its maximum. When the angle is parallel to the plane of the coil, the magnetic flux is zero.
D. Reversing the magnetic field direction abruptly without changing its magnitude will not change the magnetic flux through the coil. Magnetic flux is proportional to the dot product of the magnetic field and the area vector of the coil. If the magnitude of the magnetic field remains the same and the direction is reversed, the dot product remains the same and the magnetic flux remains unchanged.
$$\Phi = BA \cos \theta$$
where $$B$$ is the magnitude of the magnetic field, $$A$$ is the area of the coil, and $$\theta$$ is the angle between the normal to the area and the direction of the magnetic field.
The correct option is A, B, and C only.
A. The magnetic flux through a coil can be changed by changing the magnitude of the magnetic field within the coil. A stronger magnetic field will increase the magnetic flux, while a weaker magnetic field will decrease the magnetic flux.
B. The magnetic flux through a coil can also be changed by changing the area of the coil within the magnetic field. A larger area of the coil will result in a greater magnetic flux, while a smaller area will result in a smaller magnetic flux.
C. The magnetic flux through a coil can also be changed by changing the angle between the direction of the magnetic field and the plane of the coil. When the angle is perpendicular to the plane of the coil, the magnetic flux is at its maximum. When the angle is parallel to the plane of the coil, the magnetic flux is zero.
D. Reversing the magnetic field direction abruptly without changing its magnitude will not change the magnetic flux through the coil. Magnetic flux is proportional to the dot product of the magnetic field and the area vector of the coil. If the magnitude of the magnetic field remains the same and the direction is reversed, the dot product remains the same and the magnetic flux remains unchanged.
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