The magnetic field at a point P, which is at a distance of 6 cm from a long current carrying wire is 103 T. What is the magnetic field at another point Q which is at a distance of 12 cm from this current carrying wire?

The magnetic field B produced by a long straight wire carrying a current I at a distance r from the wire is given by Ampere's law as:

B = μ0I / 2πr

where μ0 is the permeability of free space.

Given that the magnetic field at point P (Bp) is 103 T when r = 6 cm, we can write:

Bp = μ0I / 2π(6)

We are asked to find the magnetic field at point Q (Bq) which is at a distance of 12 cm from the wire. Using the same formula, we have:

Bq = μ0I / 2π(12)

Dividing the second equation by the first, we get:

Bq / Bp = (μ0I / 2π(12)) / (μ0I / 2π(6))

Simplifying, we find:

Bq / Bp = 6 / 12 = 0.5

Therefore, the magnetic field at point Q is half the magnetic field at point P. So, Bq = 0.5 * Bp = 0.5 * 103 T = 51.5 T.

The magnetic field B produced by a long straight wire carrying a current I at a distance r from the wire is given by Ampere's law as:

B = μ0I / 2πr

where μ0 is the permeability of free space.

From the problem, we know that the magnetic field at point P (Bp) is 103 T when r = 6 cm. We can use this information to find the current I in the wire:

103 = μ0I / 2π(0.06)

We can solve this equation for I.

Next, we want to find the magnetic field at point Q (Bq), which is at a distance of 12 cm from the wire. We can use the same formula, but with r = 0.12 m:

Bq = μ0I / 2π(0.12)

Since the current I is the same in both cases, we can set up a ratio of the two magnetic fields:

Bp/Bq = rQ/rP

Substituting the given values:

103/Bq = 0.12/0.06

Solving this equation for Bq gives the magnetic field at point Q.