The figure shows a current loop ABCDEFA carrying a current i = 5.51 A. The sides of the loop are parallel to the coordinate axes shown, with AB = 18.8 cm, BC = 31.8 cm, and FA = 10.9 cm. In unit-vector notation, what is the magnetic dipole moment of this loop? (Hint: Imagine equal and opposite currents i in the line segment AD; then treat the two rectangular loops ABCDA and ADEFA.) E C D Number ( i i + i i k) Units
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- Two circular coils of current-carrying wire have the same magnetic moment. The first coil has a radius of 0.072 m, 110 turns, and carries a current of 3.7 A. The second coil has 190 turns and carries a current of 7.6 A. What is the radius of the second coil? Number i UnitsAs shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 3.26 A and I2 = 4.75 A in the direction indicated. (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). magnitude µT direction ° counterclockwise from the +x-axis (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. magnitude µT direction ° counterclockwise from the +x-axisCalculate the magnitude and direction of the magnetic field at the point P for the figure below. The wires carry equal currents I1 = I2 = 20A. The wires are located a distance d = 0.5 m
- A current balance is a device to measure magnetic forces. It is constructed from two parallel coils, each with an average radius of 12.5 cm. The lower coil rests on a balance; it has 20 turns and carries a constant current of 3.10 A. The upper coil, suspended 0.314 cm above the lower coil, has 50 turns and a current that can be varied. The reading of the balance changes as the magnetic force on the lower coil changes. What current is needed in the upper coil to exert a force of 1.50 N on the bottom coil? 6:00 Ammeter Variable de Wire wrapped - around disk circumference power supply 0.314 cm 50 turns 20 turns dc power supply Plate on which Stand with clamp lower coil rests Triple beam balance to weigh lower coil to support upper coil AA hexagonal loop of side L = 7.1 cm carries a current of I = 1.6 A (see figure below). Determine the magnetic field at the center of the loop. Assume the positive z axis points out of the page. (Express your answer in vector form.) B = TTwo coplanar and concentric circular loops of wire carry currents of I, = 5.90 A and I, = 2.30 A in opposite directions as in the figure below. Let r, = 12.0 cm and r, = 8.60 cm. (Assume the positive direction along the axis perpendicular to the faces of the loops is out of the screen (towards you) and assume the positive vertical direction is toward the top of the screen.) (a) What is the magnitude of the net magnetic field (in µT) at the center of the two loops? PT (b) What is the direction of the net magnetic field at the center of the two loops? out of the screen O into the screen O toward the top of the screen O toward the bottom of the screen (c) Let r, remain fixed at 12.0 cm and let r, be a variable. Determine the value ofr, (in cm) such that the net field at the center of the loops is zero. cm
- Two long, straight, parallel wires are shown in the figure below. The current in the wire on the left is triple the current in the wire on the right. Find an expression for the magnetic field at points A and B. Use the indicated coordinate system to write your answer in component form. (Use the following as necessary: I₂, r, Mo.) 340/2 î 0 Ĵ+ 0 k BA 2πr 7μ0²2 k Ĵ + 0 0 BB бпр B = + + X 12 Ā 2rA loop of wire is oriented with respect to a magnetic field of B = 1.13 T, as shown. A current of 2.5 A passes through the loop in the clockwise direction. In which direction does the loop experience a force? Give your angle in degrees to 2 significant digits with right being 0 degrees, up being 90, etc. For the same scenario, what is the magnitude of this force in N to 2 significant digits?A solenoid has 1000 turns of wire, is 0.320 m long, and carries a 5.00 A current. What is the magnetic field at the center of the solenoid?
- Two coplanar and concentric circular loops of wire carry currents of I1 = 5.60 A and I2 = 2.60 A in opposite directions as in the figure below. Let r1 = 12.0 cm and r2 = 8.50 cm. (Assume the positive direction along the axis perpendicular to the faces of the loops is out of the screen (towards you) and assume the positive vertical direction is toward the top of the screen.) (a)What is the magnitude of the net magnetic field (in µT) at the center of the two loops? µT (b)What is the direction of the net magnetic field at the center of the two loops? out of the screen into the screen toward the top of the screen toward the bottom of the screen (c)Let r1 remain fixed at 12.0 cm and let r2 be a variable. Determine the value of r2 (in cm) such that the net field at the center of the loops is zero.A horizontal compass is placed 0.9cmdue South from a straight vertical wire carrying a 15.5A current in the direction shown in the figure above. The horizontal component of the earth's magnetic field at this location is Be=4.5×10−5T and points North. In which direction does the compass needle point? Give the angle between East and the compass needle in degrees. Also what is the magnitude of the B-field at the position of the compass? Please times your final answer by 104, in units of T.As shown in the figure below, two long parallel wires (1 and 2) carry currents of I, 2.76 A and I, = 5.25 A in the direction indicated. 12 d (a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm). magnitude direction ° counterclockwise from the +x-axis (b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1. magnitude direction ° counterclockwise from the +x-axis