Final[UnknownDate]_7 - 1 A flat ring of inner radius R1 and...

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1) A flat ring of inner radius R 1 , and outer radius R 2 , carries a uniform surface charge density σ . a. Determine the total electric charge in terms of R 1 , R 2 and σ . b. Determine the electric potential at a point along the axis (the x axis). c. Use the result from (b) to find the electric field component E x .
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2) A slab of width d and dielectric constant K is inserted a distance x between the square parallel plates (of side L) of a capacitor as shown in figure. Determine as a function of x, (a) the capacitance, (b) the energy stored if the potential difference is V o .
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3) For the circuit shown, determine (a) the current through the 14 V battery and (b) the potential difference between points a and b.
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4) A proton (m = 1.67 × 10 -27 kg, q = 1.6 × 10 -19 C) moving with speed v = 2.0 × 10 5 m/s in a field-free region abruptly enters a uniform magnetic field B = 0.850 T as shown. If the proton enters the magnetic field region at a 45
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  • Spring '14
  • KathrynLynch
  • English, Magnetic Field, Electric charge, outer radius R2, total electric charge, inner radius r1

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