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Physics (university) · Part 08

Circuits and magnetism

Current, resistance and circuit rules, then magnetic fields and forces.

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  1. Electric currentThe rate that charge flows past a point, I = Q/t. The unit is the ampere, one coulomb per second.
  2. Ohm's lawFor many conductors, voltage equals current times resistance, V = IR. Resistance is in ohms.
  3. Series and parallel resistorsIn series, resistances add. In parallel, reciprocals add: 1/R = 1/R1 + 1/R2.
  4. Electric powerRate of energy use in a circuit, P = IV = I squared R = V squared / R. The unit is the watt.
  5. Kirchhoff's junction ruleAt a junction, the current going in equals the current going out, because charge is conserved.
  6. Kirchhoff's loop ruleAround any closed loop, the voltage rises equal the voltage drops, because energy is conserved.
  7. RC circuitA resistor and a capacitor together. Charging takes time given by the time constant tau = RC.
  8. Magnetic fieldA region where moving charges and magnets feel force. Measured in tesla. Field lines form closed loops.
  9. Field of a long straight wireA current makes circular field lines around the wire. Its size is B = mu0 I / (2 pi r).
  10. Magnetic force on a chargeA moving charge in a magnetic field feels a force F = q v B sin theta, at right angles to both. It changes direction, not speed.
  11. Circular motion in a fieldA charge moving at right angles to a uniform field follows a circle of radius r = m v / (q B).
  12. Force on a current-carrying wireA wire carrying current I in a field B feels force F = B I L sin theta.