A uniform magnetic field, B of strength 0.5T is directed at an angle of 30° to the plane of a rectangular copper coil of length 0.04m and width 0.05m. Determine the flux through the coil.
Question
A uniform magnetic field, B of strength 0.5T is directed at an angle of 30° to the plane of a rectangular copper coil of length 0.04m and width 0.05m. Determine the flux through the coil.
Solution
The magnetic flux (Φ) through a surface is given by the dot product of the magnetic field (B) and the area vector (A). The dot product takes into account the angle (θ) between the two vectors. The formula is:
Φ = B * A * cos(θ)
Given: B = 0.5 T (Tesla) A = length * width = 0.04 m * 0.05 m = 0.002 m² θ = 30° = 30 * π/180 rad = π/6 rad (conversion from degrees to radians)
Substituting these values into the formula:
Φ = 0.5 T * 0.002 m² * cos(π/6) Φ = 0.5 T * 0.002 m² * (√3/2) (since cos(π/6) = √3/2) Φ = 0.0005 Tm² * √3 Φ = 0.000866 Tm²
So, the magnetic flux through the coil is approximately 0.000866 T*m² or 0.000866 Weber.
Similar Questions
A coil of wire enclosing an area 100 cm2 is placed with its plane making an angle 60º with the magnetic field ofstrength 10-1T. What is the flux through the coil? If magnetic field is reduced to zero in 10-3 s, then find the inducedemf
A coil with 200 turns and an area of 0.02 m² is placed in a magnetic field of strength 0.5 T. Calculate themagnetic flux through the coil when it is oriented perpendicular to the magnetic field lines.b) Derive equation of current for R-C circuit
A circular coil of 25 turns and radius 6.0 cm carrying a current of 10 A, is suspended vertically in a uniform magnetic field of magnitude 1.2 T. The field lines run horizontally in the plane of the coil. Calculate the force and torque on coil due to the magnetic field
A circular coil of radius 5 × 10-2 m and with 40 turns is carrying a current of 0.25 A. Determine the magnetic field of the circular coil at the center.
A solenoid with 500 loops has a cross sectional area of 8 cm2. It is suddenly transferred from a region where the magnetic field is 0.5 T to a region where there is no magnetic field. If the transfer requires 0.04 s and the resistance of the solenoid is 4 Ω. Determine : i) Magnetic flux
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.