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The figure shows two closed paths wrapped around two conducting loops carrying currents i1 = 7.3 A and i2 = 4.0 A. What is the value of the integral  for (a) path 1 and (b) path 2?

The figure shows two closed paths wrapped around two conducting loops carrying currents i1 = 7.3 A and i2 = 4.0 A. What is the value of the integral  for (a) path 1 and (b) path 2?

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The figure shows two closed paths wrapped around two conducting loops carrying currents i1 = 7.3 A and i2 = 4.0 A. What is the value of the integral  for (a) path 1 and (b) path 2?

The image shows two square loops situated next to each other. Each loop carries an electric current, labeled as \(i_1\) and \(i_2\). - **Loop 1 (on the left)** contains the current \(i_1\) flowing in a clockwise direction. - **Loop 2 (on the right)** contains the current \(i_2\) flowing in the same direction as in Loop 1. The arrows within and between the loops represent the magnetic field lines created by the currents. - The magnetic field lines from Loop 1 extend and interact with Loop 2, and vice versa, illustrating mutual inductance. - This mutual inductance is the effect that a change in current in one loop induces a voltage across the other. This diagram is useful for understanding the principle of inductive coupling, where two circuits influence each other through their magnetic fields, a fundamental concept in electromagnetic theory and applications such as transformers.
Transcribed Image Text:The image shows two square loops situated next to each other. Each loop carries an electric current, labeled as \(i_1\) and \(i_2\). - **Loop 1 (on the left)** contains the current \(i_1\) flowing in a clockwise direction. - **Loop 2 (on the right)** contains the current \(i_2\) flowing in the same direction as in Loop 1. The arrows within and between the loops represent the magnetic field lines created by the currents. - The magnetic field lines from Loop 1 extend and interact with Loop 2, and vice versa, illustrating mutual inductance. - This mutual inductance is the effect that a change in current in one loop induces a voltage across the other. This diagram is useful for understanding the principle of inductive coupling, where two circuits influence each other through their magnetic fields, a fundamental concept in electromagnetic theory and applications such as transformers.
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