What would be the torque on the electric motor if the current through the rectangular coil is 5A, the magnetic field strength is 0.5T, the length of the coil is 8cm and the width is 4cm?
To calculate the torque on an electric motor, you need to know the current passing through the coil, the magnetic field strength, and the dimensions of the coil.
The formula to calculate the torque on an electric motor is:
Torque = I * B * A * sin(θ)
Where:
- "Torque" is the torque on the motor (measured in the unit Newton-meter or Nm)
- "I" is the current passing through the coil (measured in Amperes or A)
- "B" is the magnetic field strength (measured in Tesla or T)
- "A" is the area of the coil (measured in square meters or m^2)
- "θ" is the angle between the direction of the current and the magnetic field (measured in degrees or radians)
To calculate the area of the coil (A), multiply its length by its width.
In this case, the current (I) is given as 5A, the magnetic field strength (B) is given as 0.5T, and the dimensions of the rectangular coil are given as 8cm (length) and 4cm (width).
First, convert the dimensions of the coil from centimeters to meters:
Length = 8cm = 8/100 = 0.08m
Width = 4cm = 4/100 = 0.04m
Next, calculate the area of the coil (A):
A = Length * Width
A = 0.08m * 0.04m = 0.0032 m^2
Now, you have all the values to calculate the torque:
Torque = I * B * A * sin(θ)
Since the angle (θ) is not given, it is assumed to be 90 degrees (or π/2 radians) for a rectangular coil.
sin(90 degrees) = sin(π/2 radians) = 1
Therefore, the torque would be:
Torque = 5A * 0.5T * 0.0032 m^2 * 1
Torque = 0.008 Nm
So, the torque on the electric motor in this case would be 0.008 Newton-meter (Nm).