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A vertical wire carries a current in upw...

A vertical wire carries a current in upward direction. An electron beam sent horizontally towards the wire will be deflected

A

towards right

B

towards left

C

upwards

D

downwards

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation step by step: ### Step 1: Understand the Setup We have a vertical wire carrying an upward current, and an electron beam is sent horizontally towards this wire. **Hint:** Visualize the setup: the wire is vertical, and the electron beam is horizontal. ### Step 2: Determine the Direction of the Magnetic Field According to the right-hand rule, the direction of the magnetic field (B) around a straight current-carrying wire can be determined by pointing the thumb of your right hand in the direction of the current (upward) and curling your fingers around the wire. - For a wire with an upward current, the magnetic field will circulate around the wire in a counter-clockwise direction when viewed from above. At the location of the electron beam (to the right of the wire), the magnetic field will be directed into the page (or downward). **Hint:** Use the right-hand rule to find the direction of the magnetic field around the wire. ### Step 3: Identify the Direction of the Electron Beam The electron beam is moving horizontally towards the wire. Since electrons are negatively charged, the current associated with the electron beam is in the opposite direction to the electron motion. Therefore, if the electron beam is moving to the left, the current can be considered as moving to the right. **Hint:** Remember that the direction of the current is opposite to the direction of electron flow. ### Step 4: Apply Fleming's Left-Hand Rule Fleming's Left-Hand Rule helps us determine the direction of the force experienced by a current-carrying conductor in a magnetic field. According to this rule: - The thumb represents the direction of the force (F). - The first finger represents the direction of the magnetic field (B). - The second finger represents the direction of the current (I). In this case: - The magnetic field (B) is directed downward (into the page). - The current (I) due to the electron beam is moving to the left. Using Fleming's Left-Hand Rule: - Point your first finger downwards (B). - Point your second finger to the left (I). - Your thumb will point upwards, indicating the direction of the force on the electron beam. **Hint:** Use Fleming's Left-Hand Rule to find the direction of the force on the electron beam. ### Conclusion The electron beam will be deflected upwards due to the magnetic force acting on it. **Final Answer:** The electron beam will be deflected **upwards**.
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