A straight line 1.8m long carries a current of 13A and make an angle of 15º with a uniform magnetic field B=1.5T
Calculate the magnetic force on the wire.
Do we use F=I×L×B×sin in order to solve or no
yes
Yes, you can use the formula F = I × L × B × sin(θ) to calculate the magnetic force on the wire.
In this equation:
- F represents the magnetic force on the wire,
- I represents the current flowing through the wire,
- L represents the length of the wire,
- B represents the magnitude of the magnetic field, and
- θ represents the angle between the wire and the magnetic field.
To solve the problem, you already have the values for I, L, B, and the angle θ. Let's substitute these values into the formula:
F = 13A × 1.8m × 1.5T × sin(15º)
First, convert the angle from degrees to radians:
θ (in radians) = θ (in degrees) × (π / 180)
θ (in radians) = 15 × (π / 180)
Substitute the values:
F = 13A × 1.8m × 1.5T × sin(15 × (π / 180))
Now, calculate the sine of the angle in radians using a calculator or mathematical software:
sin(15 × (π / 180))
Finally, multiply all the values together to find the magnetic force, F.