Question

If =12a andthe distance from each wire to point p is 0.12m, then what is the magnitude of the magnetic force per unit length on the top wire?

Answer 1

The magnitude of the magnetic force per unit length on the top wire is

2×10⁻⁵  N/m

How can we calculate the magnitude of the magnetic force per unit length on the top wire ?

To calculate the magnitude of the magnetic force per unit length on the top wire, we are using the formula

F= $\frac{\mu_0 I_f}{2\pi d}$

Here we are given,

$\mu_0$= magnetic permeability

= 4$\pi$×10⁻⁷ H m⁻¹

If= 12 A

d= distance from each wire to point.

=0.12m

Now we put the known values in the above equation, we get

F= $\frac{\mu_0 I_f}{2\pi d}$

Or, F = $\frac{4\pi \times 10^{-7}\times 12}{2\pi \times 0.12}$

Or, F= 2×10⁻⁵ N/m.

From the above calculation, we can conclude that the magnitude of the magnetic force per unit length on the top wire is 2×10⁻⁵ N/m.

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