Question

Find the force due to a current element of length 2 cm and flux density of 12 tesla. The current through the element will be 5A.

• A. 1 N
• B. 1.2 N
• C. 4 N
• D. 1.6 N

Hint:

The force on a current element in a magnetic field depends on the current, the length of the wire, the magnetic flux density, and the angle between the magnetic field and the current direction.

Answer 1

The Correct Option is B

Step 1: Formula for Force on a Current Element
The force on a current element in a magnetic field is given by the formula: \[ F = I L B \sin \theta \] Where:
\( F \) is the force,
\( I \) is the current,
\( L \) is the length of the current element,
\( B \) is the magnetic flux density,
\( \theta \) is the angle between the magnetic field and the direction of the current.

Step 2: Given Values
\( I = 5 \, \text{A} \) (current),
\( L = 2 \, \text{cm} = 0.02 \, \text{m} \) (length of current element),
\( B = 12 \, \text{T} \) (magnetic flux density),
Assuming \( \theta = 90^\circ \) (since the angle is not specified, we assume the field is perpendicular to the current).

Step 3: Calculation
Using the formula: \[ F = (5)(0.02)(12) \sin 90^\circ = 5 \times 0.02 \times 12 = 1.2 \, \text{N} \]
Step 4: Conclusion
Thus, the force due to the current element is 1.2 N.