A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B. Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a and θ. a. Express the derivative of the flux with respect of time, dΦ/dt. b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ. c. Calculate the numerical value of ε when θ = 0, in volts.
A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B. Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a and θ. a. Express the derivative of the flux with respect of time, dΦ/dt. b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ. c. Calculate the numerical value of ε when θ = 0, in volts.
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 30P: Two long, straight wires are parallel and 25 cm apart. (a) If each wire carries a current of 50 A in...
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A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B.
Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a and θ.
a. Express the derivative of the flux with respect of time, dΦ/dt.
b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ.
c. Calculate the numerical value of ε when θ = 0, in volts.
d. Calculate the numerical value of ε when θ = 90°, in volts.
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