Coulomb's Law and Electric Force

Force between point charges scales with inverse-square distance; direction depends on sign product.

  • Confuses inverse-distance with inverse-square-distance dependence in Coulomb's law
  • Misinterprets the sign of q1q2 as affecting magnitude rather than direction of force

Electric Field and Field Lines

Force per unit positive test charge — field direction and density encode source charge geometry.

  • Reverses the direction of electric field lines around positive and negative source charges
  • Thinks the test charge magnitude affects the electric field value at a point

Electric Potential and Potential Energy

Scalar quantity tied to potential energy; field points from high to low potential, perpendicular to equipotentials.

  • Reverses the relationship between electric field direction and potential gradient
  • Incorrectly assigns a negative sign to work done moving a positive charge up a potential gradient

Capacitors and Capacitance

Charge stored per volt; dielectric effects, energy storage, and series vs. parallel combination rules.

  • Ignores whether the capacitor is isolated or battery-connected when predicting dielectric effects on voltage
  • Swaps the series and parallel combination rules for capacitors with those for resistors

Ohm's Law, Current, Voltage, Resistance

Voltage, current, and resistance relationships; resistivity geometry determines how R changes with dimensions.

  • Inverts the relationship between cross-sectional area and resistance
  • Thinks resistance is voltage-dependent rather than a fixed material property for ohmic conductors

Resistors in Series and Parallel

Equivalent resistance calculations for series and parallel; how current and voltage distribute across each element.

  • Swaps the current-sharing and voltage-sharing rules for series vs. parallel resistors
  • Thinks adding a parallel resistor increases total resistance

Kirchhoff's Voltage and Current Laws

Node and loop rules enforce charge and energy conservation in multi-source or multi-loop circuits.

  • Thinks charge can accumulate at a circuit node, violating KCL
  • Attributes KVL to charge conservation rather than energy conservation

Power Dissipation in Circuits

Rate of energy dissipation as heat; choosing the right P formula depends on what quantity is held fixed.

  • Applies a single power formula without considering which quantities are fixed in the circuit configuration
  • Inverts power dissipation ranking in a series circuit, assigning more power to smaller resistors
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Magnetic Fields and Forces on Moving Charges

Moving charges in magnetic fields experience a velocity-dependent force; circular motion radius ties to mass-to-charge ratio.

  • Thinks a charge moving parallel to B experiences maximum force rather than zero force
  • Thinks the magnetic force changes the speed of a charged particle moving in a circular path

Galvanic and Electrolytic Cells

Spontaneous vs. driven cells differ in electrode polarity, electron flow direction, and observable electrode changes.

  • Applies galvanic cell electrode polarity to electrolytic cells without recognizing the reversal
  • Assigns oxidation to the cathode rather than the anode

Standard Reduction Potentials and Cell EMF

Reduction potentials rank oxidizing strength; E°_cell = E°_cathode minus E°_anode connects to spontaneity via ΔG°.

  • Reverses the EMF formula, subtracting cathode from anode
  • Flips the wrong half-reaction sign when computing E°_cell

Nernst Equation (Electrochem Form)

Non-standard concentrations shift cell EMF; concentration cells and membrane potentials both follow this correction.

  • Inverts the reaction quotient Q when applying the Nernst equation
  • Concludes concentration cells produce no voltage because E°_cell = 0

Faraday's Law and Electrolysis

Charge passed determines moles deposited; ionic charge and competing water reactions both affect electrode products.

  • Swaps anode/cathode polarity between galvanic and electrolytic cells
  • Omits the ionic charge (n) when applying Faraday's law to multi-electron reductions

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