<span>
The needle of a compass will always lies along the magnetic
field lines of the earth.
A magnetic declination at a point on the earth’s surface
equal to zero implies that
the horizontal component of the earth’s magnetic field line
at that specific point lies along
the line of the north-south magnetic poles. </span>
The presence of a
current-carrying wire creates an additional <span>
magnetic field that combines with the earth’s magnetic field.
Since magnetic
<span>fields are vector quantities, therefore the magnetic field of
the earth and the magnetic field of the vertical wire must be
combined vectorially. </span></span>
<span>
Where:</span>
B1 = magnetic field of
the earth along the x-axis = 0.45 × 10 ⁻ ⁴ T
B2 = magnetic field due to
the straight vertical wire along the y-axis
We can calculate for B2
using Amperes Law:
B2 = μ₀ i / [ 2 π R ]
B2 = [ 4π × 10 ⁻ ⁷ T • m / A ] ( 36 A ) / [ 2 π (0.21 m ) ] <span>
B2 = 5.97 × 10 ⁻ ⁵ T = 0.60 × 10 ⁻ ⁴ T </span>
The angle can be
calculated using tan function:<span>
tan θ = y / x = B₂ / B₁ = 0.60 × 10 ⁻ ⁴ T / 0.45 × 10 ⁻ ⁴ T <span>
tan θ = 1.326</span></span>
θ = 53°
<span>
<span>The compass needle points along the direction of 53° west of
north.</span></span>
Answer:
C
Explanation:
The increase in the distance between equilibrium positions for the vibrating atoms.
The lenses on a camera focus the light entering the camera and provide a clear, sharp image at the location of the film or CCD device. If you took the lenses off a camera designed for use with lenses, you would not be able to create a usable image.
The _____ with less density will sink and the higher density ____ will rise
Answer:
2a. 24 m³
2b. 19200 Kg
2c. 192000 N
2d. 16000 N/m²
Explanation:
2a. Determination of the volume of paraffin.
Length (L) = 4 m
Width (W) = 3 m
Height (H) = 2 m
Volume (V) =?
V = L × W × H
V = 4 × 3 × 2
V = 24 m³
Therefore the volume of paraffin is 24 m³
2b. Determination of the mass of paraffin.
Volume (V) = 24 m³
Density (ρ) = 800 Kg/m³
Mass (m) =?
ρ = m / V
800 = m / 24
Cross multiply
m = 800 × 24
m = 19200 Kg
Therefore, the mass of paraffin is 19200 Kg
2c. Determination of the weight of paraffin.
Mass (m) = 19200 Kg
Acceleration due to gravity (g) = 10 N/Kg
Weight (W) =?
W = m × g
W = 19200 × 10
W = 192000 N
Therefore, the weight of paraffin is 192000 N
2d. Determination of the pressure.
Density (ρ) = 800 Kg/m³
Depth (h) = 2 m
Acceleration due to gravity (g) = 10 N/Kg
Pressure (P) =?
P = ρgh
P = 800 × 10 × 2
P = 16000 N/m²
