Step 1: Solenoid Magnetic Field Strength Factors:
A solenoid's magnetic field strength is influenced by the current (\(I\)), the number of turns (\(N\)), and the solenoid's length (\(L\)). The internal magnetic field is calculated using the formula:
\[B = \mu_0 \frac{N}{L} I\]Where:
- \( B \) represents the magnetic field strength.
- \( \mu_0 \) is the permeability of free space.
- \( N \) is the total number of turns in the solenoid.
- \( L \) is the solenoid's length.
- \( I \) is the current magnitude flowing through the solenoid.
Step 2: Influencing Factors on Magnetic Field Strength:
- The magnetic field strength is directly proportional to the current (\( I \)) and the number of turns (\( N \)).
- It is inversely proportional to the solenoid's length (\( L \)).
- The core material of the solenoid also impacts field strength. However, the direction of the current does not affect the field's magnitude.
Step 3: Option Analysis:
The magnetic field generated by a solenoid is contingent upon variables like current (\( I \)), turns (\( N \)), and length (\( L \)). Crucially, the direction of the current does not influence the field's strength. While current direction dictates the field's direction, it has no bearing on its magnitude.
Step 4: Conclusion:
The correct factor is: direction of the current flowing through it. The magnitude of the magnetic field within a solenoid is independent of the current's direction; it depends on the current's magnitude, the number of turns, and the solenoid's length.
Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by \(15\) cm length of wire \(Q\) is ________. (\( \mu_0 = 4\pi \times 10^{-7}\,\text{T m A}^{-1} \)) 