6. In the case of a resistor, the voltage-current relationshipis given by Ohm's law, which states that the voltage acrossthe resistor is equal to the current through the resistormultiplied by the value of the resistance.译:就电阻来说,电压-电流的关系由欧姆定律给出,欧姆定律指出:电阻两端的电压等于通过电阻的电流乘以电阻值。7.Mathematically, this is expressed asu=iR(1-1A-1)where u=voltage, V; i=current, A; R=resistance, 译:欧姆定律的数学表达式:u=iR其中,u=电压,伏特;i=电流安培;R=电阻,欧姆
6. In the case of a resistor, the voltage-current relationship is given by Ohm’s law, which states that the voltage across the resistor is equal to the current through the resistor multiplied by the value of the resistance. 译:就电阻来说,电压-电流的关系由欧姆定律给出,欧姆定律 指出:电阻两端的电压等于通过电阻的电流乘以电阻值。 7. Mathematically, this is expressed as u=iR (1-1A-1) where u=voltage, V; i=current, A; R=resistance, Ω. 译:欧姆定律的数学表达式:u=iR 其中,u=电压,伏特;i =电流, 安培;R = 电阻,欧姆
8. The voltage across a pure inductor is defined by Faraday's law,which states that the voltage across the inductor is proportionalto the rate of change with times of the current through the inductor.译:纯电感的电压是由法拉第定律定义的,法拉第定律指出:电感两端的电压与流过电感的电流随时间的变化率成正比。di9. Thus we haveu=Ldtwhere di/dt-rate of change of current, A/ s; L=inductance, H.译:因此,可以得到,其中,didt=电流变化率,安培秒;L=感应系数,享利
8. The voltage across a pure inductor is defined by Faraday’s law, which states that the voltage across the inductor is proportional to the rate of change with times of the current through the inductor. 译:纯电感的电压是由法拉第定律定义的,法拉第定律指出:电感 两端的电压与流过电感的电流随时间的变化率成正比。 9. Thus we have where di/dt=rate of change of current, A/s; L=inductance, H. 译:因此,可以得到,其中,di/dt = 电流变化率,安培/秒;L = 感 应系数,享利。 t i u L d d =
1o. The voltage developed across a capacitor is proportionalto the electric charge q accumulating on the plates of thecapacitor.译:电容两端的电压与电容两个极板上积累的电荷q成正比11. Since the accumulation of charge may be expressed as thesummation, or integral, of the charge increments dq, we havethe equation1"idtu=where the capacitance C is the proportionality constantrelating voltage and charge.译:因为电荷的积累可表示为电荷增量dg的和或积分,因此得到的等式为,其中电容量C是与电压和电荷有关的比例常数
10. The voltage developed across a capacitor is proportional to the electric charge q accumulating on the plates of the capacitor. 译:电容两端的电压与电容两个极板上积累的电荷q 成正比. 11. Since the accumulation of charge may be expressed as the summation, or integral, of the charge increments dq, we have the equation where the capacitance C is the proportionality constant relating voltage and charge. 译:因为电荷的积累可表示为电荷增量dq的和或积分,因此得到 的等式为,其中电容量C是与电压和电荷有关的比例常数。 = i t C u d 1
12. By definition, current equals the rate of change of thecharge with time and is expressed as i=dq/dt。译:由定义可知,电流等于电荷随时间的变化率,可表示为i=dq/dt13.Thus an increment of charge dq is equal to the current multiplied by the corresponding time increment, or dq=i dt. Eq.(1-1A-3)may then be written asidtu=whereC=capacitance, F.译:因此电荷增量dq等于电流乘以相应的时间增量,或dq=idt,那么等式(1-1A-3)可写为,其中C=电容量,法拉
12. By definition, current equals the rate of change of the charge with time and is expressed as i=dq/dt。 译:由定义可知,电流等于电荷随时间的变化率,可表示为i= dq/dt。 13.Thus an increment of charge dq is equal to the current mul tiplied by the corresponding time increment, or dq=i dt. Eq.(1 -1A-3)may then be written as where C =capacitance, F. 译:因此电荷增量dq 等于电流乘以相应的时间增量,或dq = i dt, 那么等 式 (1-1A-3) 可写为,其中 C = 电容量,法拉。 = i t C u d 1
14.A summary of Eqs. (1) (2) and (4) for the three forms of passivecircuit element is given in Fig.1.译:由式(1)、(2)和(4)描述的三种无源电路元件如图1所示。15. Note that conventional current flow is used hence the current ineach element is shown in the direction of deceasing voltage译:注意,图中电流的参考方向为惯用的参考方向,因此流过每一个元件的电流与电压降的方向一致
14.A summary of Eqs. (1) (2) and (4) for the three forms of passive circuit element is given in Fig. 1. 译:由式(1)、(2) 和 (4)描述的三种无源电路元件如图1所示。 15. Note that conventional current flow is used hence the current in each element is shown in the direction of deceasing voltage. 译:注意,图中电流的参考方向为惯用的参考方向,因此流过 每一个元件的电流与电压降的方向一致