Cross-sectional views of three long conductors carrying currents I = 2.6 A, I2 = 2.2 A, and 13 = 5.6 A are shown in the figure below. Determine the closed line integrals O B• de around the five Ampèrian loops a through e as shown in the figure. (Assume positive current is into the page.) de b d de de de loop a T. m loop b T. m loop c T.m loop d T. m loop e T.m

4A 6A Two rectangular conducting loops carry currents of 4 A and 6 A as shown in figure. What is the value of $B.ds for the closed path shown?

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At time t = 0, the switch is closed in the circuit shown. What is the current through resistor R3 immediately after the switch is closed? Vo R1 R3 R2 (R,+R;) O V(R,+R,+R;) R, (R,+R3)

In the figure, ɛ = 78.1 V, Rị = 14.4 N, R2 2.91 H. Immediately after switch S is closed, what are (a) i and (b) iz? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, what = 16.7 N, R3 = 39.3 N, and L = %3D

In the figure below, a long straight wire carries a current of Ia= 5.00 A. A square loop with a side of length 0.250m is placed a distance 0.100 m away from the wire. The square loop carries a current Iþ=2.60 A. %3| la 0.10m Find the magnitude of the net force on the square loop. 1.857x10^-5 N Submit Answer Incorrect. Tries 1/99 Previous Tries 0.25m

The two wires shown in the figure below are separated by d = 10.4 cm and carry currents of I = 5.40 A in opposite directions. Two vertical, parallel wires are separated by a distance d. To the left of the left wire is an arrow labeled I pointing up. To the right of the right wire is an arrow labeled I pointing down. A point P2 is a distance 2d to the left of the left wire, and a point P1 is a distance d to the right of the right wire. (a) Find the magnitude and direction of the net magnetic field at a point midway between the wires. magnitude      ?T direction              (b) Find the magnitude and direction of the net magnetic field at point P1, 10.4 cm to the right of the wire on the right. magnitude      ?T direction              (c) Find the magnitude and direction of the net magnetic field at point P2, 2d = 20.8 cm to the left of the wire on the left. magnitude      ?T direction

= In the figure below, the rolling axle, 1.50 m long, is pushed along horizontal rails at a constant speed v = 11.00 m/s. A resistor R 0.4000 2 is connected to the rails at points a and b, which are directly opposite each other. The wheels make good electrical contact with the rails, so the axle, rails, and resistor form a closed-loop circuit. The only significant resistance in the circuit is R. A uniform magnetic field B = 0.0700 T is vertically downwards. 100 (a) Find the induced current I in the resistor. A (b) What horizontal force F is required to keep the axle rolling at constant speed? N (c) Which end of the resistor, a or b, is at the higher electric potential? O Point a is at a higher potential. Point b is at a higher potential. Point a and Point b are at equal potentials. (d) After the axle rolls past the resistor, does the current in R reverse direction? Yes No Explain your answer.