Each battery has emf 10v and each resistance has value 5ohm find magnetic field at p

And where is p? Did you try to post a schematic?

To find the magnetic field at point P, we need more information about the setup of the system. Specifically, we need to know the arrangement and orientation of the batteries and resistances, as well as the distances involved.

However, if we assume that the batteries are arranged in a closed loop and the resistances are connected in series, we can make an analysis based on the information provided.

In this case, we can find the current flowing through the resistances using Ohm's Law:

I = V/R,

where I is the current, V is the voltage (emf) of each battery, and R is the resistance.

Given that each battery has an emf of 10V and each resistance has a value of 5Ω, the current flowing through the resistances can be calculated as follows:

I = 10V / 5Ω = 2A.

Now, to determine the magnetic field at point P, we need to know the position or distance with respect to the current-carrying wires. If point P is located near the wire carrying the current, we can use Ampere's Law to calculate the magnetic field.

Ampere's Law states that the magnetic field (B) around a closed loop is equal to the product of the current (I) and the length of the path (ℓ) around the loop, divided by 2π times the distance (d) from the loop:

B = (μ₀ * I * ℓ) / (2π * d),

where μ₀ is the permeability of free space, which is approximately equal to 4π × 10⁻⁷ T · m/A.

Therefore, with the given information, we can calculate the magnetic field at point P once we know the relevant distances and the path of the current-carrying wires.