Question

a) An RC circuit, comprising a charged capacitor in series with a resistor and a switch,...

a) An RC circuit, comprising a charged capacitor in series with a resistor and a switch, has R = 7.0 kOhm and C = 2.9 uF (10-6 F). The capacitor is at full voltage Vo at t = 0, when the switch is closed. How long does it take the capacitor to discharge to 1.0 percent of its initial voltage? Give your answer in seconds to 3 sf.

b) The magnetic field in a cyclotron is 0.3 T. What must the minimum radius of the dees be in metres, if a proton beam is to be produced with a maximum speed of 3.8×107 m/s? Give answer to 2 s.f.

c) Calculate the magnitude of magnetic field at a distance of 1.3 mm from a long straight wire with a current of 1.8 amps flowing in it. Give your answer in Tesla, to 2 sf.

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