An electric current I = 0.75 A is flowing in a long wire. Consider a rectangular area with one side parallel to the wire and at a distance c = 0.048 m away from the wire. Let the dimensions of the rectangle be a = 0.046 m and b= 0.067 m.
Part (a) Express the magnitude of the magnetic field generated by the wire B at a distance r in terms of I and r.
Part (b) Express the magnetic flux, φ, in the rectangle as an integral of B(r).
Part (c) Integrate the expression in part (b).
Part (d) Calculate the numerical value of φ T.m.
An electric current I = 0.75 A is flowing in a long wire. Consider a rectangular area with one side parallel to the wire and at a distance c = 0.048 m away from the wire.
An infinitely long single wire with current I1 =55 A and a rectangular wire loop with current I2 = 0.75 A are in the same plane as shown. The dimensions of the loop are a = 0.052 m and b = 0.145 m. The infinite wire is parallel to side AD of the loop and at a distance d = 0.19 m from it. Part (a) Express the magnitude of the magnetic force Fad, from Iy on wire AD in terms...
A conducting rod spans a gap of length L = 0.315 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.45 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a= At2, where A = 6.5 m/s4. The resistance in the wire is R= 110ΩPart (a) Express the magnitude of the magnetic flux going through...
A long, straight wire carries a current I. A rectangular loop with two sides parallel to the straight wire has sides a and b with its near side a distance d from the straight wire, as shown in Figure below. Compute the magnetic flux through the rectangular loop, and evaluate your answer for a = 0.042 cm, b = 0.096 cm, d = 0.019 cm, and I = 15 A.
Problem 2 (Current through Loop) A rectangular loop of dimensions / and w moves with a constant velocity v away from an infinitely long straight wire carrying a current I in the plane of the loop, as shown in Figure 10.9.6. Let the total resistance of the loop be R. What is the current in the loop at the instant the near side is a distance r from the wire? Figure 10.9.6 A rectangular loop moving away from a current-carrying wire
Problem 13: An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m The current density J=4.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. Expression: Select from the variables below to write your expression. Note that all variables may not be required. α,...
Consider two long and parallel current carrying wires that are a distance 3.00 m away from each other, and carrying 78.0 mA and 30.0 mA currents. Part A Assume that the origin of the coordinate system is on the 30.0 mA wire and its positive x axis is directed towards the 78.0 mA wire that is perpendicular to the wires. If these currents are in the opposite direction, find all locations where the net magnetic field of the two wires...
In the figure, a rectangular loop of wire with length a = 3.8 cm, width b = 2.2 cm, and resistance R = 0.70 mΩ is placed near an infinitely long wire carrying current I = 4.7 A. The loop is then moved away from the wire at a constant speed v = 3.9 mm/s, when the center of the loop is at distance r = 7.9 cm, what are (a) the magnitude of the magnetic flux through the loop...
4) A long straight wire carries current i = 2.0 A. A triangular loop (w = 0.050 m and t = 0.100 m) also carries the same current and is located at distance x = 0.025 m from the straight wire as shown. Recall that the magnetic field due to a long straight wire is given by B Ho 21 4r where r is the perpendicular distance from the wire. Note: Ho/472 = 1 x 10-?T.m/A. a) Determine the magnitude...
A rectangular coil has side a = 0.085 m, h = 0.055 m, and resistance R = 45Ω. It moves into a magnetic field with magnitude B = 0.65 T with speed v = 1.5 m/s. Part (a) As the coil enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables.Part (b) Express the magnitude of the emf, ε, induced in the loop in terms of B, a, and v.Part...
A rectangular coil has side a = 0.055 m, b = 0.095 m, and resistance R=85Ω. It moves into a magnetic field with magnitude B = 0.45 T with speed v= 8.5 m/s.Part (a) As the coil enters the magnetic field, express the magnitude of the magnetic flux going through the loop in terms of the given variables and t, the time since the right side of the loop first entered the field. Part (b) Express the magnitude of the emf,...