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1. A resistor of resistance R is connected across a battery of = 12.0 V and r = 0.40 . What values of R will produce 80.0 W of power dissipated

1. A resistor of resistance R is connected across a battery of ε = 12.0 V and r = 0.40 Ω. What values of R will produce 80.0 W of power dissipated through the resistor?2. Using Ampere’s law, find an expression for the magnetic field strength between two circular parallel conducting plates that are forming a capacitor. Express the magnitude of the field in terms of distance from the center of the plates.3. A very long cylindrical wire of radius R carries a current I_0 uniformly distributed across the section of the wire. Calculate the magnetic flux through a rectangle with a long side W running down the central axis of the wire, and a short side R.4. In a proton accelerator used in particle physics experiments, the trajectories of protons are controlled by bending magnets that produce a magnetic field of 4.80 T. What is the magnetic-field energy in a 10.0 cm^3 volume of space where B= 4.80 T?5. A wide, long, insulating belt has a uniform positive charge per unit area σ on its upper surface. Rollers at each end move the belt to the right at a constant speed v. Calculate the magnitude and direction of the magnetic field produced by the moving belt at a point just above its surface.

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