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A closed loop of wire consists of concentric circular arcs of radii R and 3R as shown below. Current i flows through the loop in the direction indicated. A long, straight wire (assume infinite length) is located at a distance of 5R from the center of the loop as shown. Current 2i flows through the wire in the direction indicated. Derive an expression for the magnetic field B at the center of the loop (at P) due to the currents in both the loop and straight wire, in terms of Rand current i. Include the direction of the net magnetic field at P (use i, j', k, notation).

A closed loop of wire consists of concentric circular arcs of radii R and 3R as shown below. Current i flows through the loop in the direction indicated. A long, straight wire (assume infinite length) is located at a distance of 5R from the center of the loop as shown. Current 2i flows through the wire in the direction indicated. Derive an expression for the magnetic field B at the center of the loop (at P) due to the currents in both the loop and straight wire, in terms of Rand current i. Include the direction of the net magnetic field at P (use i, j', k, notation).

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this is not an essay assignment. I need help deriving the expression all of the info is in the question

1) A closed loop of wire consists of concentric circular arcs of radii R and 3R as shown below. Current i flows through the loop in the direction indicated. A long, straight wire (assume infinite length) is located at a distance of 5R from the center of the loop as shown. Current 2i flows through the wire in the direction indicated. Derive an expression for the magnetic field B at the center of the loop (at P) due to the currents in both the loop and straight wire, in terms of R and current i. Include the direction of the net magnetic field at P (use i, j', k®, notation). RA 5R \3R
Transcribed Image Text:1) A closed loop of wire consists of concentric circular arcs of radii R and 3R as shown below. Current i flows through the loop in the direction indicated. A long, straight wire (assume infinite length) is located at a distance of 5R from the center of the loop as shown. Current 2i flows through the wire in the direction indicated. Derive an expression for the magnetic field B at the center of the loop (at P) due to the currents in both the loop and straight wire, in terms of R and current i. Include the direction of the net magnetic field at P (use i, j', k®, notation). RA 5R \3R
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