课程名称:普通物理学 课程性质:大一 课程教师:伊林 开课系所:物理系 考试时间:2006 4/17 1) Construct the framework of the physics which you have learned in the past half semester.(35%) 2)(12%) a) Determine the vibration of the voltage crossing the resistor R as a function of t after turning on the switch at t=0 for an CR circuit. b) Explain how RC circuit can be used as a filter for the ac signal. 3) For RLC circuit driven by an ac voltage dource Vin=V0(coswt), a) Determine yhe current,I, flowing through the circuit. What is the phase difference between I and Vin?(8%) b) What will happen when w=(1/LC)^(1/2)?(6%) c) Compare the RLC system with a damped harmonic oscillator?(6%) 4) a) Explain the physical significance of the inductance L.(6%) b) Determine the current evolution in the LR circuit, if initially the current I=0, and the switch is connected to the battery at t=0 and connected to the ground at t=t1.(10%) c) What is the energy source which supplies the current after t=t1?(6%) 5)(36%) a) What is the geometrical meaning of the operator "curl"? Answer this question starting from the mathematical definition. b) What is Amper's Law? c) What is the "displacement current"? d) Explain how the integration form of Amper's Law can be obtained from the differential form. e) Determine the magnitude field B generated by an infinite long cylindrical rod with radius R and uniform current density J.(consider r<R,r=R, R>r) f) Also determine curl B.(承上题) --

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