A conductor carries a current of 25 A and is at right angles to a magnetic field. The flux density is 0.8 Tesla and the length of the conductor in the field is 35 cm. Calculate the force acting on the conductor, and the value of the force if the conductor is inclined at 35 degrees to the direction of the field.

To calculate the force acting on the conductor, you can use the formula for the magnetic force on a current-carrying conductor in a magnetic field:

F = BILsinθ

Where:
F is the force (in Newtons)
B is the flux density (in Tesla)
I is the current (in Amperes)
L is the length of the conductor in the field (in meters)
θ is the angle between the direction of the current and the magnetic field (in degrees)

Given:
B = 0.8 Tesla
I = 25 A
L = 35 cm = 0.35 meters

1. Calculating the force without the inclination:
First, convert the length in centimeters to meters:
L = 0.35 meters

Now, plug in the values into the formula:
F = (0.8 Tesla) * (25 A) * (0.35 meters) * sin(90 degrees)

Since sine of 90 degrees is 1, we can simplify the equation to:
F = (0.8 Tesla) * (25 A) * (0.35 meters) * 1

F = 7 Newtons

Therefore, the force acting on the conductor without the inclination is 7 Newtons.

2. Calculating the force with a 35-degree inclination:
To calculate the force when the conductor is inclined at 35 degrees to the direction of the field, you need to use the new angle in the formula.

F = (0.8 Tesla) * (25 A) * (0.35 meters) * sin(35 degrees)

Using a scientific calculator or an online trigonometry calculator, find the sine of 35 degrees, which is approximately 0.574.

F = (0.8 Tesla) * (25 A) * (0.35 meters) * 0.574

F = 6.33 Newtons

Therefore, the force acting on the conductor with a 35-degree inclination is approximately 6.33 Newtons.

To calculate the force acting on the conductor, you can use the formula:

F = BILsinθ

Where:
- F is the force acting on the conductor
- B is the flux density (0.8 Tesla)
- I is the current (25 A)
- L is the length of the conductor in the field (35 cm = 0.35 m)
- θ is the angle between the conductor and the direction of the magnetic field

First, let's calculate the force when the conductor is at right angles to the magnetic field (θ = 90 degrees):

F = (0.8 Tesla) * (25 A) * (0.35 m) * sin(90°)

Since sin(90°) = 1, the force can be calculated as:

F = (0.8 Tesla) * (25 A) * (0.35 m) * 1

F = 7 Newtons

So, when the conductor is at right angles to the magnetic field, the force acting on the conductor is 7 Newtons.

Now let's calculate the force when the conductor is inclined at 35 degrees to the direction of the magnetic field (θ = 35 degrees):

F = (0.8 Tesla) * (25 A) * (0.35 m) * sin(35°)

To calculate the value of sin(35°), you can use a scientific calculator or table of trigonometric functions.

After calculating sin(35°), you can substitute it into the formula to find the force:

F = (0.8 Tesla) * (25 A) * (0.35 m) * sin(35°)

Based on the calculated value of sin(35°), you can find the value of the force.