PHYSICS HIGH SCHOOL

Point m is located a distance 2d from the midpoint between the two wires. find the magnitude of the magnetic field b1m created at point m by wire 1.

Answers

Answer 1
Answer:

Note: The diagram referred to in the question is attached here as a file.

Answer:

The magnitude of the magnetic field is B = (0.071 \mu I)/(d)

Explanation:

The magnetic field can be determined by the relationship:

B = (\mu I)/(2\pi R)...............(1)

Were I is the current flowing through the wires

The distance R from point 1 to m is calculated using the pythagora's theorem

R = \sqrt{d^(2) + (2d)^(2) }

R = \sqrt{5d^(2) } \nR = d√(5)

Substituting R into equation (1)

B = (\mu I)/(2\pi d√(5) )

B = (0.071 \mu I)/(d)
Answer 2
Answer:

Use the formula for the magnetic field created by a long, straight, current-carrying wire (B = μ0I/2π(2d)) to find the magnitude of the magnetic field at point M created by wire 1

To find the magnitude of the magnetic field B1m created at point M by wire 1, we can use the Biot-Savart law. The formula for the magnetic field produced by a straight wire at a distance r from the wire is given by:

B = (μ₀ * I) / (2π * r)

Where:

- B is the magnetic field.

- μ₀ is the permeability of free space, which is a constant approximately equal to 4π x 10^{(-7) T·m/A.

- I is the current flowing through the wire.

- r is the distance from the wire to the point where you want to calculate the magnetic field.

In your case, the distance from wire 1 to point M is 2d. Therefore, we can calculate the magnetic field B1m due to wire 1 at point M as follows:

B1m = (μ₀ * I1) / (2π * (2d))

Now, we need to consider the direction of the magnetic field. Since point M is located equidistant between two wires, and wire 1 is closer to point M, the magnetic field created by wire 1 at point M will point towards or away from the wire, depending on the direction of the current in wire 1.

If the current in wire 1 is in the same direction as the vector from wire 1 to point M, the magnetic field will point away from wire 1. If the current in wire 1 is in the opposite direction, the magnetic field will point towards wire 1.

In both cases, the magnitude of the magnetic field B1m due to wire 1 at point M is given by the formula mentioned earlier:

B1m = (μ₀ * I1) / (2π * (2d))

This formula gives you the magnitude of the magnetic field at point M due to wire 1. The direction of the field depends on the direction of the current in wire 1 relative to the vector from wire 1 to point M.

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Answers

The required force between the two charges is approximately 3371.25 N.

What is Coulomb's law?

The force between two point charges can be calculated using Coulomb's law, which states that:

F = k * (q₁ * q₂) / r²

where F is the force between the charges, k is the Coulomb constant, q₁ and q₂ are the magnitudes of the charges, and r is the distance between them.

In this case, we are given that one charge has a magnitude of 0.006 C and the other has a magnitude of 0.001 C, and they are separated by a distance of 4 meters. So we can substitute these values into Coulomb's law to find the force:

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Answers


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Answers

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So organizing the information given in the statement we find that:

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