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Electric Fields — MS 模式

定义题模式

术语分值标准答案
electric fieldB1force per unit positive charge
electric field strengthB1+B1force per unit charge + exerted on a positive charge / placed at a point
electric potentialM1+A1work done per unit charge + moving a positive charge from infinity
capacitanceM1+A1charge per unit potential difference + charge on one plate / p.d. across plates

计算题模式

公式标记典型代入
E=Q/(4πϵ0r2)E = Q / (4\pi \epsilon_0 r^2)C1+A1注意 rr 从中心算起
V=Q/(4πϵ0r)V = Q / (4\pi \epsilon_0 r)C1+A1代数叠加
F=Q1Q2/(4πϵ0r2)F = Q_1 Q_2 / (4\pi \epsilon_0 r^2)C1+C1+A1代入数值 + 8.99 × 109^9
E=V/dE = V/dC1+A1单位转换
12mv2=qV\frac{1}{2} mv^2 = qVC1+C1+A1能量守恒求速度

对比题模式

对比标记要点
similarB1both inverse square law / both radial / both 1/r21/r^2
differentB1electric can be attractive or repulsive / gravitational only attractive
compare potentialsB1both 1/r\propto 1/r / same sign or opposite sign

作图题模式

图形标记要点
field lines between platesB1+B1+B1parallel + equally spaced + arrows + straight
EE-rr for sphereB1+B1+B1E=0E = 0 inside + E1/r2E \propto 1/r^2 outside + starts at E0E_0
path of particleB1+B1curved (parabolic) + straight after field
VV-rr for sphereB1+B1+B1constant inside + V1/rV \propto 1/r outside

关键词速查

关键词含义
force per unit positive charge电场强度定义
work done per unit charge电势定义
from infinity电势参考点
inverse square law反平方定律
radial field径向场
uniform field匀强场
potential gradient电势梯度
E=dV/drE = -dV/dr场强与电势关系