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In a region of a lab, the magnetic field is given by B=(16+8.0y), where B is in mT and y is in cm. Part 1) What is the magnetic flux through a square whose vertices are (0, 0, 0), (0, a. 0), (0, a, a) and (0, 0, a) where a = 2.99 cm. μWb square Part 2) Figure 1. A quarter cylinder of radius a sits on the the x, y, z-axis. Consider the curved surface in the sketch. It is one quarter of a cylinder, with radius and height both equal to a = 2.99 cm. What is the magnetic flux through the curved surface? (Hint: this is easy) Wb curved= a Part 3) Consider now the closed surface comprising the quarter cylinder, two quarter circles with radius a and two squares with side a. What is the total flux into this closed surface? (Hint: this is also easy) Wb closed a -

In a region of a lab, the magnetic field is given by B=(16+8.0y), where B is in mT and y is in cm. Part 1) What is the magnetic flux through a square whose vertices are (0, 0, 0), (0, a. 0), (0, a, a) and (0, 0, a) where a = 2.99 cm. μWb square Part 2) Figure 1. A quarter cylinder of radius a sits on the the x, y, z-axis. Consider the curved surface in the sketch. It is one quarter of a cylinder, with radius and height both equal to a = 2.99 cm. What is the magnetic flux through the curved surface? (Hint: this is easy) Wb curved= a Part 3) Consider now the closed surface comprising the quarter cylinder, two quarter circles with radius a and two squares with side a. What is the total flux into this closed surface? (Hint: this is also easy) Wb closed a -

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In a region of a lab, the magnetic field is given by B = (16+8.0y), where B is in mT and y' is in cm. Part 1) What is the magnetic flux through a square whose vertices are (0,0,0), (0, a.0), (0, a, a) and (0, 0, a) where a = 2.99 cm. μWb square Part 2) a y Figure 1. A quarter cylinder of radius a sits on the the x, y, z-axis. Consider the curved surface in the sketch. It is one quarter of a cylinder, with radius and height both equal to a = 2,99 cm. What is the magnetic flux through the curved surface? (Hint: this is easy) #curved = μWb Part 3) Consider now the closed surface comprising the quarter cylinder, two quarter circles with radius a and two squares with side a. What is the total flux into this closed surface? (Hint: this is also easy) Oclosed = μWb
Transcribed Image Text:In a region of a lab, the magnetic field is given by B = (16+8.0y), where B is in mT and y' is in cm. Part 1) What is the magnetic flux through a square whose vertices are (0,0,0), (0, a.0), (0, a, a) and (0, 0, a) where a = 2.99 cm. μWb square Part 2) a y Figure 1. A quarter cylinder of radius a sits on the the x, y, z-axis. Consider the curved surface in the sketch. It is one quarter of a cylinder, with radius and height both equal to a = 2,99 cm. What is the magnetic flux through the curved surface? (Hint: this is easy) #curved = μWb Part 3) Consider now the closed surface comprising the quarter cylinder, two quarter circles with radius a and two squares with side a. What is the total flux into this closed surface? (Hint: this is also easy) Oclosed = μWb
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