A current carrying wire is placed along east and west in a magnetic field directed north wards. If the current in the wire is directed east wards, the direction of force on the wire is

Options

A. due west
B. due south
C. vertically upwards
D. vertically downwards

Answer

To determine the direction of the force on a current-carrying wire placed in a magnetic field, we can use Fleming's Left-Hand Rule. Here’s a step-by-step solution to the problem:

### Step 1: Identify the Directions
- The wire is oriented along the east-west direction.
- The current is flowing eastward (from west to east).
- The magnetic field is directed northward.

### Step 2: Apply Fleming's Left-Hand Rule
Fleming's Left-Hand Rule states that if you align your thumb, forefinger, and middle finger of your left hand perpendicular to each other:
- The **Thumb** represents the direction of the force (F).
- The **Forefinger** represents the direction of the magnetic field (B).
- The **Middle Finger** represents the direction of the current (I).

### Step 3: Position Your Fingers
- Point your **Forefinger** in the direction of the magnetic field, which is north.
- Point your **Middle Finger** in the direction of the current, which is east.

### Step 4: Determine the Direction of the Force
- With your Forefinger pointing north and your Middle Finger pointing east, your Thumb will point upwards.
- Thus, the direction of the force on the wire is vertically upward.

### Conclusion
The force on the current-carrying wire is directed **vertically upward**.

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