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Activity Discussion Science & Technology Magnetism Reply To: Magnetism

• ### Kunal

Member
January 21, 2024 at 5:49 pm
0

To calculate the angle of dip and resultant magnetic field, we can use the following formulas:

1. The angle of dip (θ) can be calculated using the equation:

tan(θ) = (vertical component)/(horizontal component)

2. The resultant magnetic field (B) can be calculated using the equation:

B = √[(horizontal component)^2 + (vertical component)^2]

Let’s calculate the values:

Horizontal component (H) = 0.15 G

Vertical component (V) = 0.26 G

1. angle of dip (θ):

tan(θ) = V / H

tan(θ) = 0.26 G / 0.15 G

tan(θ) ≈ 1.7333

θ ≈ tan^(-1)(1.7333)

θ ≈ 61.87 degrees

Therefore, the angle of dip is approximately 61.87 degrees.

2. Resultant magnetic field (B):

B = √[(H^2) + (V^2)]

B = √[(0.15 G)^2 + (0.26 G)^2]

B = √[0.0225 G^2 + 0.0676 G^2]

B = √0.0901 G^2

B ≈ 0.300 G

Therefore, the resultant magnetic field is approximately 0.300 G.

So, the angle of dip is approximately 61.87 degrees, and the resultant magnetic field is approximately 0.300 G.

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