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As labeled, what are three loop equations of the circuit shown?   A rectangular loop of current is extending horizontally as shown in the diagram, with a weight 1kg on one outer edge

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1. As labeled, what are three loop equations of the circuit shown?

2. A rectangular loop of current is extending horizontally as shown in the diagram, with a weight 1kg on one outer edge. The middle portion is fastened to the wall. If there is a magnetic field of 1T pointing in the direction shown, what current as labeled will keep it stable? (Shown are views from the side and view from above)

3. Rey Skywalker is trying to blow up a new Death Star, but she is in trouble! She is flying in a straight line at 100m/sec and is being chased by a Tie-fighter at the same speed 300m behind her. Above the Death Star there is a magnetic field of 5T pointing upward. She launches an electron torpedo with mass 1kg at 200 m/sec (velocity relative to the surface of the Death Star). What magnitude charge does she need to put on it so it will collide with the Tie-fighter and destroy it?

4. Consider an RLC circuit (a circuit with a resistor, inductor and capacitor), with L = 10 H, R=6.3 Ohm and C = 2 F (and no additional EMF). Suppose initially the current is 10A and there is no charge on the capacitor. After some time, there is a current of 2A and there is 10C of charge on the capacitor. How much energy has been dissipated through the resistor?

5.  Consider a rectangular loop of wire as shown, with a sliding piece 1 m wide, with a resistor on the outer wire of 6 Ohm. Suppose there is a 1T magnetic field at 30 degrees to the loop, and a motor pushes it with a power of 5W. What is the maximum speed it can reach?