At what orientation angle relative to the magnetic field direction does the magnetic potential energy of a magnetic dipole have its smallest value? Select answer from the options below 90 ° 135 °  180 ° 45 ° 0 °

A uniform magnetic field is perpendicular to the plane of a circular loop of diameter 10 cm formed from wire of diameter 2.5 mm and resistivity 1.69 * 10-8 ohmm. At what rate must the magnitude of change to induce a 10 A current in the loop?

O I I хр = 0.0356 m, Two wires are separated by distance d and carry equal currents of 3.5 A in opposite directions. Find the magnetic field strength at the point P shown in the figure. (in T) OA: 4.027x10-6 B: 5.034x10-6 OC: 6.292x10-6 OD: 7.865x10-6 OE: 9.831x10-6 OF: 1.229x10-5 OG: 1.536x10-5OH: 1.920x10-5

A magnetic core with an air gap has a permeability that can be considered infinite. It has a coil of wire wrapped around the core. The following is known about the core: A = 4(10-4) m² (Cross sectional area of the core) N = 500 (turn in the coil) 1g = 2 mm How much current is needed in the coil to create a force of 8 N closing the gap? O 0.714 A O 1.41 A O 0.509 A O 2.02 A

Problem 10:  Part (a)  Consider a circle with a radius r and centered on the wire. Determine the magnitude of the magnetic field B at points along the circle in terms of I and r.  B = ______ Part (b)  If r = 0.11 m, calculate the numerical value of B in tesla.  B = ______

A student makes a short electromagnet by winding 200 turns of wire around a wooden cylinder of diameter d = 6.0 cm. The coil is connected to a battery producing a current of 3.0 A in the wire. (a) What is the magnitude of the magnetic dipole moment of this device?     _________A · m2(b) At what axial distance z ≫ d will the magnetic field of this dipole have the magnitude 5.0 μT (approximately one-tenth that of Earth's magnetic field)?    _______________cm (please show units. It really helps me out)

Calculate the potential difference between the wingtips of an aircraft with the wingspan of 64 m travelling at 709 km.h¹ at 45 degrees to the magnetic field lines of the Earth with B = 50 µT. Give your answer in Sl units.

The figure below shows a cross section of a long thin ribbon of width w = 5.72 cm that is carrying a uniformly distributed total current i = 3.76 µA into the page. Calculate the magnitude of the magnetic field at a point Pin the plane of the ribbon at a distance d = 2.60 cm from its edge. (Hint: Imagine the ribbon as being constructed from many long, thin, parallel wires.) Number Units

The loop shown below has a radius of 12 cm and is placed in a magnetic field oriented into the page, as shown. The resistance of the loop is 5 ohms. The magnitude of the magnetic field may be modeled as B(t )=3−2t . Determine the magnitude and direction of the current in the loop at time t = 3 seconds.

Doubly-ionized particles with an atomic mass of 59.4 u are moving due N at a speed of 7.78 x 105 m/s when they enter a uniform magnetic field of strength, B = 35.5 mT. The ions, which are moving perpendicular to the field, follow a circular path of radius, r, and travel north a distance, h = 2.02 m, before leaving the field at an angle, 0, as shown in the figure. (a) What is the radius of the ions' circular path? m (b) At what angle do the ions leave the field? 0 = h 2