Imagine that you have a metal wire bent into the shape of an equilateral triangle with side lengths of l. This triangle is carrying current, 1, in a direction clockwise around the triangle. Find the magnetic field (magnitude and direction) that the current produces at the center of the triangle. Hint: Use the Biot-Savart law to find the magnetic field for a finite straight wire. How does this help? -
Imagine that you have a metal wire bent into the shape of an equilateral triangle with...
Imagine that you have a metal wire bent into the shape of an equilateral triangle with side lengths of l. This triangle is carrying current, 1, in a direction clockwise around the triangle. Find the magnetic field (magnitude and direction) that the current produces at the center of the triangle. Hint: Use the Biot-Savart law to find the magnetic field for a finite straight wire. How does this help? -
A very long wire carrying current I is bent into the shape shown in the diagram. Apply the general result obtained in class from the Biot-Savart Law, B = mu_0I/4pi r(cos theta_1 - cos theta_2), to find the net magnetic field B, magnitude and direction, at point P. Show all your work in detail: very specifically show what are theta_1 and theta_2 for each segment of the wire. Simplify the answer. Use extra pages if needed.
[12] 13. A piece of wire is bent in the shape shown (two 550 cm horizontal section and a semi circle section with radius 285 cm). Determine the magnetic field (magnitude and direction) at point P, the center of the semicircle. The current/- 19.5 mA. (Hint you need Biot-Savart Law.) If you show your work in an organized and clear manner
A current carrying wire is in the shape of an equilateral triangle of edge length 4.0 cm. The triangle lies in the z = 0 plane. The wire carries a current of 1.6 A. (a) What is the magnitude of the torque on the wire if it is in a region with a uniform magnetic field of magnitude 0.34 T that points in the +z direction? ...................N·m (b) What is the magnitude of the torque on the wire if it...
Р [12]35. A piece of wire is bent in the shape shown (two 32.6 cm straight sections and a 3/4 of a circle section with radius r - 320 cm). Based on this information 17.4 m which of the following is true? Note that point P is the center of the 3/4th circular section. Circle the TRUE statement(s). Statements: (a) The magnetic field at point P is due only to the current in the two straight sections. (b) The law...
please make sure to fill in the blanks (a) A conducting loop in the shape of a square of edge length l = 0.310 m carries a current I = 10.5 A as in the figure below. Calculate the magnitude and direction of the magnetic field at the center of the square. (b) If this conductor is reshaped to form a circular loop and carries the same current, what is the value of the magnetic field at the center? Part...
4. A thin wire carrying a current I is bent into a shape with a central circular portion of radius R centered at the origin, and with two semi-infinite arms that extend to ro, as shown in the figure below. Find the direction and the magnitude of the magnetic field B at the center. y R I
What is the magnitude field at the center of a square made of a wire carrying a current that loops the square in a counter clockwise direction if the square lies in the x-y plane? How do you solve this using the Biot-Savart Law? Answer:
Consider the current-carrying wire shown in the figure. The current creates a magnetic field at the point P, which is the center of the arc segment of the wire. If 0 = 20.0°, the radius of the arc is 0.700 m, and the current is 2.00 A, what are the magnitude (in nT) and direction of the field produced at P? P i magnitude 285.7 Apply the Biot-Savart law. What will be the contributions of the segments of wire along...
2) A straight wire is partially bent into the shape of a circle as shown below. A uniform magnetic field is directed perpendicular to the plane of the circle and into the page. Each end of the wire is then pulled at a constant speed so that the area of the circle shrinks to zero. (a) Sketch a graph of the magnetic flux with respect to time. flux time (b)Is the direction of the induced current in the circular wire...