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b) A wire, carrying an electric current I, is bent in the shape shown in the left image below, the total length is 41 (ignore the semi-infinite parts): calculate the magnitude of the magnetic field B, at point P,. The same segment of wire of length 4l is then bent into a semi-circular shape shown in the right image below and carries the same current I. The magnitude of the magnetic field measured at point P2 is now B2. What is the ratio of B1/ B2? What is the direction of B,? What is the direction of B,? 21 P2 PI

b) A wire, carrying an electric current I, is bent in the shape shown in the left image below, the total length is 41 (ignore the semi-infinite parts): calculate the magnitude of the magnetic field B, at point P,. The same segment of wire of length 4l is then bent into a semi-circular shape shown in the right image below and carries the same current I. The magnitude of the magnetic field measured at point P2 is now B2. What is the ratio of B1/ B2? What is the direction of B,? What is the direction of B,? 21 P2 PI

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The image presents a physics problem involving a wire carrying an electric current \( I \). The wire can be bent into two different configurations, affecting the magnetic field at specific points. ### Description: #### Left Diagram: - A wire is bent into an inverted U-shape around point \( P_1 \). - The wire has a total length of \( 4l \). - The segments extending horizontally are each labeled \( l \), and the vertical segment is labeled \( 2l \). - The point \( P_1 \) is located centrally below the horizontal segment. #### Right Diagram: - The wire is bent into a semicircular shape around point \( P_2 \). - Again, the wire carries the same current \( I \). - The semicircle has a radius \( l \). - Horizontal segments of length \( l \) extend from each end of the semicircle. - Point \( P_2 \) is at the center of the semicircle. ### Problem Statement: 1. Calculate the magnitude of the magnetic field \( B_1 \) at point \( P_1 \) in the left configuration. 2. Calculate the magnitude of the magnetic field \( B_2 \) at point \( P_2 \) in the right configuration. 3. Determine the ratio \( \frac{B_1}{B_2} \). 4. Identify the directions of the magnetic fields \( B_1 \) and \( B_2 \). The problem requires an understanding of magnetic fields created by currents in wires, particularly in linear and curved configurations.
Transcribed Image Text:The image presents a physics problem involving a wire carrying an electric current \( I \). The wire can be bent into two different configurations, affecting the magnetic field at specific points. ### Description: #### Left Diagram: - A wire is bent into an inverted U-shape around point \( P_1 \). - The wire has a total length of \( 4l \). - The segments extending horizontally are each labeled \( l \), and the vertical segment is labeled \( 2l \). - The point \( P_1 \) is located centrally below the horizontal segment. #### Right Diagram: - The wire is bent into a semicircular shape around point \( P_2 \). - Again, the wire carries the same current \( I \). - The semicircle has a radius \( l \). - Horizontal segments of length \( l \) extend from each end of the semicircle. - Point \( P_2 \) is at the center of the semicircle. ### Problem Statement: 1. Calculate the magnitude of the magnetic field \( B_1 \) at point \( P_1 \) in the left configuration. 2. Calculate the magnitude of the magnetic field \( B_2 \) at point \( P_2 \) in the right configuration. 3. Determine the ratio \( \frac{B_1}{B_2} \). 4. Identify the directions of the magnetic fields \( B_1 \) and \( B_2 \). The problem requires an understanding of magnetic fields created by currents in wires, particularly in linear and curved configurations.
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