A 10 cm by 10 cm square loop with resistance R = 1 . 0 ? lies in the xy -plane.

Question

A 10 cm by 10 cm square loop with resistance R = 1.0 ? lies in the xy-plane. The magnetic field in this region of space is B = (0.30t?i + 0.5t2k?) T, where t is in seconds.
A) Determine the expression for the flux through the loop as a function of time [3 points]
B) Determine the emf induced in the coil at t = 2.0 s. [3 points]
C) Assuming the loop is in xy plane at t = 2.0 s, determine the magnitude and direction of the torque acting on a coil at that point. [4 points]

A 10 cm by 10 cm square loop with resistance R = 1.0 ? lies in the xy-plane. The magnetic field in this region of space is B = (0.30t?i + 0.5t2k?) T, where t is in seconds. A) Determine the expression for the flux through the loop as a function of time [3 points] B) Determine the emf induced in the coil at t = 2.0 s. [3 points] C) Assuming the loop is in xy plane at t = 2.0 s, determine the magnitude and direction of the torque acting on a coil at that point. [4 points]

Explanation / Answer

A. flux = BA = 0.30t i + 0.5 t^2 k A= 1 ut B. emf induced = d(BA) / dt = [0.3 i + 2 j ] = magnitude = 2.022 V C. torque = BIA = 2.088 X 2.022 = 4.222

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.