Question

what is the strength of the magnetic field at point p in (figure 1)? assume that i = 5.8 a , r1 = 0.70 cm , and r2 = 1.4 cm .

Answer 1

The strength of the magnetic field at point P is 1.2 x 10^-3 T when r = 0.70 cm, and 6.0 x 10^-4 T when r = 1.4 cm.

Step-by-step explanation:

To find the strength of the magnetic field at point P in the figure, we can use the formula for the magnetic field of a current-carrying wire:

B = (μ0 * I) / (2π * r)

where B is the magnetic field, μ0 is the permeability of free space (4π x 10^-7 T*m/A), I is the current, and r is the distance from the wire.

Given that I = 5.8 A, r1 = 0.70 cm, and r2 = 1.4 cm, we can calculate the magnetic field at point P by plugging these values into the formula for both r1 and r2:

B1 = (4π x 10^-7 T*m/A * 5.8 A) / (2π * 0.007 m) = 1.2 x 10^-3 T

B2 = (4π x 10^-7 T*m/A * 5.8 A) / (2π * 0.014 m) = 6.0 x 10^-4 T

So the magnetic field at point P is stronger at r1 (0.70 cm) than at r2 (1.4 cm).

Answer 2

At a distance of 0.70 cm, the strength is 9.9 × 10⁻⁴ T, and at 1.4 cm, the strength is 4.9 × 10⁻⁴ T.

Step-by-step explanation:

The magnetic field at point P in Figure 1 can be determined using the formula for the magnetic field produced by a current-carrying wire. The formula is:

B = μ0I / (2πr)

Where

B is the magnetic field

μ0 is the permeability of free space (8.4 × 10⁻⁷ T m/A)

I is the current

r is the distance from the wire.

In this case, we have a current (I) of 5.8 A and two distances (r1 = 0.70 cm and r2 = 1.4 cm).

We can use the formula to calculate the magnetic field at each point:

B1 = (8.4 × 10⁻⁷ T m/A × 5.8 A) / (2π × 0.007 m) = 9.9 × 10⁻⁴ T

B2 = (8.4 × 10⁻⁷ T m/A × 5.8 A) / (2π × 0.014 m) = 4.9 × 10⁻⁴ T

Therefore, the strength of the magnetic field at point P is 9.9 × 10⁻⁴ T at 0.70 cm and 4.9 × 10⁻⁴ T at 1.4 cm.