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課程名稱:普通物理學
課程性質:大一
課程教師:伊林
開課系所:物理系
考試時間: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.(承上題)
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