The image depicts a problem involving magnetic forces between a long straight wire and a rectangular loop. The context is explained in the text:"In the figure, the long straight wire carries a current of 30 A and the rectangular loop carries a current of 20 A. Calculate the resultant force (magnitude and direction) acting on the loop. Assume that \(a = 10 \, \text{cm}\), \(b = 8 \, \text{cm}\), \(L = 30 \, \text{cm}\)."To solve this problem, one would typically use the Biot-Savart Law or Ampère's Law to find the magnetic field generated by the long straight wire at the location of the rectangular loop. Then, the force on the loop, which is a current-carrying conductor in a magnetic field, can be calculated using the Lorentz force law.Here, \(a\) and \(b\) may represent distances between the wire and the loop, and \(L\) is likely the length of a side of the loop. The currents in the wire and the loop are important for determining the magnitude of the magnetic fields and the resulting forces.### Diagram Explanation:- The diagram illustrates a long straight wire carrying a current indicated as 30 A.- Adjacent to the wire, there is a rectangular loop carrying a current of 20 A.- The variables \(a\), \(b\), and \(L\) describe the dimensions and spacing of the loop relative to the wire. ### Diagram DescriptionThe diagram illustrates a physics concept involving two current-carrying wires and their spatial arrangement:1. **Horizontal Wire (Top)**: - A long, horizontal wire carries a current of \(30 \, \text{A}\) to the right. 2. **Rectangular Loop (Bottom)**: - Below the horizontal wire is a rectangular loop carrying a current of \(20 \, \text{A}\) to the right. - The loop is situated at a distance with two vertical sections: - The distance from the top wire to the top of the loop is \(a\). - The vertical side of the loop continues downward for a distance \(b\).3. **Horizontal Length of the Loop**: - The length of the rectangular loop, denoted as \(L\), extends horizontally from left to right, parallel to the current in both wires.### ExplanationThis setup is commonly used to study magnetic fields and forces due to currents in different configurations. The interaction between the wires can lead to attractive or repulsive forces, depending on the direction and magnitude of the currents and their relative positions. Key aspects to analyze in such a scenario include:- **Magnetic Field Influence**: The magnetic field created by the long wire will influence the rectangular loop and vice versa. - **Force Calculation**: Using the Biot-Savart Law or Ampère's Law, one can calculate the magnetic field at the location of the loop due to the top wire and assess the resultant force on the loop's sides.This type of diagram is crucial for understanding electromagnetic principles and is often analyzed in lectures on electromagnetism and related fields.

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In the figure, the long straight wire carries a current of 30 A and the rectangular loop carries a current of 20 A. Calculate the resultant force (magnitude and direction) acting on the loop. Assume that a=10 cm, b = 8 cm, L= 30 cm. 30 A