Magnetic flux and magnetic field at a point are related concepts in electromagnetism, but they are fundamentally different. Below is the concise differentiation:
| Magnetic Flux | Magnetic Field at a Point |
|---|---|
| Scalar quantity | Vector quantity |
| \( \Phi_B = B A \cos \theta \) | \( \mathbf{B} = \frac{F}{qv} \) |
| Measured in Weber (Wb) | Measured in Tesla (T) |
| Depends on area | Depends on current and distance |
| Total number of field lines through a surface | Local property of space at a point |
In summary, magnetic flux is the total magnetic field passing through a given area, while the magnetic field at a point refers to the local magnetic influence at a specific point in space.
Two long parallel wires X and Y, separated by a distance of 6 cm, carry currents of 5 A and 4 A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is \( 3 \times 10^{-5} \) T. The value of \( x \), which represents the distance of point P from wire X, is ______ cm. (Take permeability of free space as \( \mu_0 = 4\pi \times 10^{-7} \) SI units.) 
A particle of charge $ q $, mass $ m $, and kinetic energy $ E $ enters in a magnetic field perpendicular to its velocity and undergoes a circular arc of radius $ r $. Which of the following curves represents the variation of $ r $ with $ E $?
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If oxygen ion (O\(^{-2}\)) and Hydrogen ion (H\(^{+}\)) enter normal to the magnetic field with equal momentum, then the path of O\(^{-2}\) ion has a smaller curvature than that of H\(^{+}\).
Reason R : A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statements, choose the correct answer from the options given below
“One of these days you’re going to talk yourself into a load of trouble,” her father said aggressively. What do you learn about Sophie’s father from these lines? (Going Places)