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Homework #10: Due Monday, April 22, by 5:00pm
- A (-)3.0μC charge is located at the point (x,y)=(10cm,(-)7.0cm). It is located next to the corner of a grounded box so that anything where y≥0 and anything where x≤0 is grounded. Find the potential at the point (x, y)=(2.0cm, -5.0cm).
- problem 6.31
- problem 6.50
- problem 6.52
- An aluminum strip 2.0cm wide and 2.0mm thick is placed in a magnetic field with B=3.50Tesla. A current of 4.25A is set up in the strip. The strip is oriented along the x-axis with the current running towards the negative x-axis. The magnetic field points in the negative z direction.
- Draw this situation, labeling the direction of the current and the sides of the aluminum strip that becomes positively and negatively charged.
- What is the magnitude of the Hall field E and Hall voltage V (or "Hall potential"=Φ) that appears across the strip?
- A wire has a current of 2.40A running through it in the z-direction. A square loop with sides 15cm long is located 10cm away from the wire (i.e. the near side of the loop is 10cm away, and the far side is 25cm away). The loop lies in the x-z plane. (a) Calculate the magnetic flux through the loop. (b) If the loop is moving away from the wire at a speed of v=12cm/sec, find the Emf induced in the loop. Hint: You already calculated the form of the flux, so maybe you should start there.
- Your are in a region where Earth's magnetic field points at an angle of 56° below the horizontal, and the horizontal component of Earth's field points north. The total field strength is 53,000nT. You have a circle of wire, N=1,200 loops, with a radius of 25cm.
- Find the magnetic flux ΦB through one loop of wire if the wire loop is lying flat on the ground.
- If the magnetic field is somehow turned off (yes, a SciFi channel bad move) within a time of 0.40 seconds, find the total Emf induced in these loops.
That's all for homework #10.