Question:
A proton moving vertically downward enters a
magnetic field pointing towards north. In which
direction proton will deflect?
A proton moving vertically downward enters a
magnetic field pointing towards north. In which
direction proton will deflect?
Updated On: Aug 4, 2024
- East
- West
- North
- South
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The Correct Option is A
Solution and Explanation
Proton will represent the direction of current.
So, the direction of current is vertically downward.
According to Fleming's left hand rule, if middle finger represents the direction of current and fore-finger represents the direction of magnetic field, then thumb will represent the direction of Lorentz force acting on the proton which deflects the proton in east direction.
Alternative
Force on proton in magnetic field.
$F=q(v \times B) $
Here, $ v=v \hat{i}, B=B \hat{j} $
$\therefore F=q(v \hat{i} \times B \hat{j}) $
$=q v B \hat{k} (\because \hat{i} \times \hat{j}=\hat{k})$
Hence, force will act on the proton in $Z$-direction, ie, towards east.
So, the direction of current is vertically downward.
According to Fleming's left hand rule, if middle finger represents the direction of current and fore-finger represents the direction of magnetic field, then thumb will represent the direction of Lorentz force acting on the proton which deflects the proton in east direction.
Alternative
Force on proton in magnetic field.
$F=q(v \times B) $
Here, $ v=v \hat{i}, B=B \hat{j} $
$\therefore F=q(v \hat{i} \times B \hat{j}) $
$=q v B \hat{k} (\because \hat{i} \times \hat{j}=\hat{k})$
Hence, force will act on the proton in $Z$-direction, ie, towards east.
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Concepts Used:
Moving Charges and Magnetism
Moving charges generate an electric field and the rate of flow of charge is known as current. This is the basic concept in Electrostatics. Another important concept related to moving electric charges is the magnetic effect of current. Magnetism is caused by the current.
Magnetism:
- The relationship between a Moving Charge and Magnetism is that Magnetism is produced by the movement of charges.
- And Magnetism is a property that is displayed by Magnets and produced by moving charges, which results in objects being attracted or pushed away.
Magnetic Field:
Region in space around a magnet where the Magnet has its Magnetic effect is called the Magnetic field of the Magnet. Let us suppose that there is a point charge q (moving with a velocity v and, located at r at a given time t) in presence of both the electric field E (r) and the magnetic field B (r). The force on an electric charge q due to both of them can be written as,
F = q [ E (r) + v × B (r)] ≡ EElectric +Fmagnetic
This force was based on the extensive experiments of Ampere and others. It is called the Lorentz force.