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# sample-final - EE1 W2006 Final A Name ID Solve all six...

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EE1 W2006 Final A Name: ............................... ID #: ............................... Solve all six problems ! The curl in cylindrical coordinates is given as: ∇× A = 1 ρ ∂A z ∂φ - ∂A φ ∂z a ρ + ∂A ρ ∂z - ∂A z ∂ρ a φ + 1 ρ ( ρA φ ) ∂ρ - ∂A ρ ∂φ a z

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Problem 1 (Concept questions) [1] A solid spherical conductor is given a net nonzero charge. The electrostatic potential of the conductor is (a) largest at the center (b) largest on the surface (c) largest somewhere between center and surface (d) constant throughout the volume [2] Two large conducting plates are separated by a distance d and are connected to a battery with voltage V . If you fill the space between the plates with a dielectric, what happens to the value of the charge on the plates ? (a) stays the same (b) increases (c) decreases [3] A rectangular loop is placed in a magnetic field that decreases in the x- direction with the plane of the loop parallel to the direction of the field. If a current is made to flow through the loop in the sense shown by the arrows, the field exerts on the loop: I B x y
[4] A battery of voltage V is attached across a cylindrical wire of length L and cross-sectional area S so that a current I flows. If you double the length of the wire but attach it to the same battery what happens to the drift velocity of the electrons in the resistor ?

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sample-final - EE1 W2006 Final A Name ID Solve all six...

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