How the MCAT tests electricity and magnetism

This topic is AAMC content category 4C — electrochemistry and electrical circuits and their elements. The MCAT ties it to physiology (membrane potentials, the ECG) and to lab equipment. It rewards fluency with a few core equations and clean circuit reasoning rather than heavy computation.

workspace_premium The recurring toolkit

Coulomb’s law and the field for charges; V = IR and the series/parallel rules for circuits; the right-hand rule for magnetism. Master those and most questions fall quickly.

Coulomb’s law and the electric field

Charges exert forces on each other: like charges repel, opposites attract. The electric field is the force a positive test charge would feel per unit charge — a way to describe the influence of charge at every point in space.

+ – Field lines point from positive to negative; a positive test charge feels a force along them.
Field of a dipole. Electric field lines run from the positive charge to the negative charge; their density shows the field’s strength.
F = kq₁q₂ / r²Coulomb’s lawThe force falls off as the inverse square of separation. E = F/q gives the field, which also falls off as 1/r² from a point charge.

Electric potential and potential energy

Moving a charge in a field takes work, stored as electric potential energy. Electric potential (voltage) is that energy per unit charge — the driving force for current.

  • Potential energy: U = kq₁q₂/r for two point charges — positive for like charges, negative for opposite.
  • Potential (voltage): V = U/q, measured in volts; positive charges move from high to low potential.
  • Work: W = qΔV to move a charge across a potential difference.

Circuits: Ohm’s law and resistor networks

A circuit drives current through resistance using a voltage source. Ohm’s law links the three, and the series/parallel rules let you reduce any network.

Series R₁ R₂ same current IR = R₁ + R₂ Parallel R₁ R₂ same voltage V1/R = 1/R₁ + 1/R₂
Series vs parallel. Series resistors share the same current and add; parallel resistors share the same voltage and combine reciprocally, always giving less than the smallest resistor.
V = IROhm’s lawVoltage equals current times resistance. Power dissipated is P = IV = I²R = V²/R.
functions Worked example — two resistors in parallel

A 6 Ω and a 3 Ω resistor are connected in parallel. What is the equivalent resistance?

  1. Use 1/R = 1/R₁ + 1/R₂ = 1/6 + 1/3.
  2. Common denominator: 1/6 + 2/6 = 3/6 = 1/2.
  3. So R = 2 Ω.

Answer. R = 2 Ω — less than either resistor, as parallel combinations always are.

Capacitors and power

A capacitor stores charge and energy in an electric field between two plates. Along with power, it rounds out the circuit toolkit.

  • Capacitance: Q = CV — a capacitor holds charge proportional to the voltage across it.
  • Capacitors combine oppositely to resistors: they add in parallel and combine reciprocally in series.
  • Power: P = IV is the rate of energy use; P = I²R gives the heat dissipated in a resistor.

Magnetism and the magnetic force

Moving charges create magnetic fields and feel forces in them. The magnetic force is always perpendicular to both the velocity and the field, so it changes direction, not speed.

v B F F = qv × B Fingers point along v, curl toward B, thumb = F (reverse for a negative charge). F points out of the page (⊙) here.
Right-hand rule. For a positive charge, point your fingers along v, curl toward B, and your thumb gives the force F = qv × B — perpendicular to both.
workspace_premium A force that does no work

Because the magnetic force is perpendicular to the velocity, it does no work and cannot change a particle’s speed — it only bends its path, producing circular or helical motion.

How to study it — and the traps to avoid

E&M rewards careful bookkeeping. Reduce circuits step by step and respect the perpendicularity of magnetic forces.

  1. Track what is constant: current in series, voltage in parallel.
  2. Reduce resistor networks one combination at a time.
  3. Remember both force and field fall off as 1/r² for point charges.
  4. For magnetism, use the right-hand rule and flip the direction for negative charges.
error Highest-yield trap

Adding resistors in parallel LOWERS the total resistance below the smallest one, because you are giving current more paths. Only series resistances add directly — mixing up the two rules is the most common circuit error.