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3. Consider the railgun system below. The bar has width w, mass m, and current lo provided by the DC current source, and starts at rest at y = 0. There is an external magnetic field B, and the rails are of length / measured from the bar's initial position. Assume no gravity or air resistance effects. Think of the xy-plane as a flat tabletop. (a) Draw the position and kinetic energy of the bar over time, including what you expect happens just outside the railgun. Provide the expressions. (Two plots, two expressions) Inside railgun Io B No gravity y KE Outside railgun t t (b) Suppose someone messes up and installs an electromagnet (let's say the central two B field arrows) upside-down. What happens to the bar? (Short answer)

3. Consider the railgun system below. The bar has width w, mass m, and current lo provided by the DC current source, and starts at rest at y = 0. There is an external magnetic field B, and the rails are of length / measured from the bar's initial position. Assume no gravity or air resistance effects. Think of the xy-plane as a flat tabletop. (a) Draw the position and kinetic energy of the bar over time, including what you expect happens just outside the railgun. Provide the expressions. (Two plots, two expressions) Inside railgun Io B No gravity y KE Outside railgun t t (b) Suppose someone messes up and installs an electromagnet (let's say the central two B field arrows) upside-down. What happens to the bar? (Short answer)

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3. Consider the railgun system below. The bar has width w, mass m, and current lo provided by the DC current source, and starts at rest at y = 0. There is an external magnetic field B, and the rails are of length I measured from the bar's initial position. Assume no gravity or air resistance effects. Think of the xy-plane as a flat tabletop. (a) Draw the position and kinetic energy of the bar over time, including what you expect happens just outside the railgun. Provide the expressions. (Two plots, two expressions) Inside railgun Io B No gravity 1 y KE Outside railgun t t (b) Suppose someone messes up and installs an electromagnet (let's say the central two B field arrows) upside-down. What happens to the bar? (Short answer)
Transcribed Image Text:3. Consider the railgun system below. The bar has width w, mass m, and current lo provided by the DC current source, and starts at rest at y = 0. There is an external magnetic field B, and the rails are of length I measured from the bar's initial position. Assume no gravity or air resistance effects. Think of the xy-plane as a flat tabletop. (a) Draw the position and kinetic energy of the bar over time, including what you expect happens just outside the railgun. Provide the expressions. (Two plots, two expressions) Inside railgun Io B No gravity 1 y KE Outside railgun t t (b) Suppose someone messes up and installs an electromagnet (let's say the central two B field arrows) upside-down. What happens to the bar? (Short answer)
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